1) A histogram would be the best graphical representation for the teacher's data on the subject preferences of students. 2) The correct circle graph is option 2. 3) Option 4: Paddleboarding.
What is a histogram?The frequency or relative frequency of the data points falling within each interval is depicted by the height of the bars in a histogram, which is a graphical representation of the distribution of continuous data. Histograms are frequently used in data analysis to show how a single variable is distributed and to spot any patterns or trends. Additionally, they can be used to compare the distributions of two or more variables or to spot anomalies or outliers in the data.
1) A histogram would be the best graphical representation for the teacher's data on the subject preferences of students.
2) Given the type of transportation we have he total number of visitors as:
(120+24+45+30+81=300)
Now, for walk we have:
120/300 = 40/100 = 40%
For Bicycle we have:
24/300 = 8%
Thus, the correct circle graph is option 2: circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
3) For the central angle to be 54 the number of campers needs to correspond to this number. The activity that corresponds to 54 degrees is Paddleboarding.
4) For the number of principals in conference we set up a proportionality with total people as follows:
We know that, 52 principals out of 70 people thus:
52/70 = x/750
Now,
x = (52/70) * 750
x = 557.14
Hence, we can predict that there were about 557 principals in attendance at the conference.
5) Given that, out of 225 students 27 prefer cookies thus,
27/225 = 0.12
That is 12% students like cookies.
Now, for the total number of students we have:
0.12 * 4000 = 480
Thus, option A: The college will have about 480 students who prefer cookies.
6) For the given description of the line plot the median is:
For Bus 47 = 16
For Bus 18 = 13
The faster bus is Bus 47, with a median of 16.
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90000000000000000000000 - 5500000000000
90000000000000000000000 - 5500000000000 =
4450000000000000000000000
Answer:
this kind of problem is hard to solve with that many zeros. but if you were to do 900,000,000-550,000,000 it would be 350,000,000
Step-by-step explanation:
Brainlist
Show all steps!!
Answer:
1. With the height and base of a triangle given, we can use the Pythagorean Theorem to find the length of the hypotenuse (the third side) of the right triangle.
Given:
Height (a) = 6
Base (b) = 8
We can plug these values into the Pythagorean Theorem formula:
a^2 + b^2 = c^2
Substituting the values:
6^2 + 8^2 = c^2
Simplifying:
36 + 64 = c^2
100 = c^2
Now, we can take the square root of both sides to solve for c:
√100 = √c^2
10 = c
So, the length of the hypotenuse (c) of the right triangle is 10 units.
2.
Given:
Base (b) = 8
One side (a or c) = 12
We can use the Pythagorean Theorem to find the length of the remaining side (either a or c) of the right triangle.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Using the formula:
a^2 + b^2 = c^2
Substituting the values:
a^2 + 8^2 = 12^2
Simplifying:
a^2 + 64 = 144
Next, we can isolate a^2 by subtracting 64 from both sides of the equation:
a^2 = 144 - 64
a^2 = 80
Finally, we can take the square root of both sides to solve for a:
√(a^2) = √80
a ≈ 8.94 (rounded to two decimal places)
So, the length of the remaining side (either a or c) of the right triangle is approximately 8.94 units. Please note that depending on the context of the problem, you may need to use the positive square root value for a or c, depending on which side is relevant in the specific scenario.
Answer:
X = 10^2
Y = /80
Step-by-step explanation:
Pythagorean theorem = A^2 +B^2= C^2
Fist triangle
6^2+8^2
36 + 64= 100
/100 = 10^2
X= 10^2
Second triangle
Pythagorean theorem = C^2 - A^2= B^2
12^2 - 8^2
144 - 64= 80
/80 = /80
X = /80
What is the argument of z = StartFraction 1 Over 16 EndFraction minus StartFraction StartRoot 3 EndRoot Over 16 EndFraction i?
To find the argument of the complex number z = 1/16 - (sqrt(3)/16)i, we need to find the angle that the complex number forms with the positive real axis in the complex plane.
We can start by finding the magnitude of z, which is the distance between the origin and the point representing z in the complex plane:
|z| = sqrt( (1/16)^2 + (sqrt(3)/16)^2 )
= sqrt(1/256 + 3/256)
= sqrt(4/256)
= 1/4
Next, we can find the argument of z using the formula:
arg(z) = tan^(-1)(Im(z)/Re(z))
where Im(z) is the imaginary part of z, and Re(z) is the real part of z.
In this case, we have:
Re(z) = 1/16
Im(z) = -(sqrt(3)/16)
Therefore, we get:
arg(z) = tan^(-1)(Im(z)/Re(z))
= tan^(-1)(-(sqrt(3)/16)/(1/16))
= tan^(-1)(-sqrt(3))
= -60° (in degrees)
So, the argument of z is -60 degrees (or -π/3 radians).
Answer:
A
Step-by-step explanation:
There are 10 councillors and 12 planning department staff available to serve on a committee to look into re- establishing two way traffic on the streets of St. Catharines. If the committee will consist of 3 councillors and either 1 or 2 planning staff, how many different committees could the council choose?
The council could choose 14,040 different committees.
To form a committee, we need to choose 3 councillors out of 10 and either 1 or 2 planning staff out of 12.
Number of ways to choose 3 councillors out of 10 = 10C3 = (1098)/(321) = 120
Number of ways to choose 1 planning staff out of 12 = 12C1 = 12
Number of ways to choose 2 planning staff out of 12 = 12C2 = (1211)/(21) = 66
Therefore, the total number of different committees that the council could choose is the sum of the number of ways to choose 3 councillors and either 1 or 2 planning staff:
Total number of committees = (Number of ways to choose 3 councillors) x (Number of ways to choose 1 planning staff) + (Number of ways to choose 3 councillors) x (Number of ways to choose 2 planning staff)
Total number of committees = 120 x 12 + 120 x 66
Total number of committees = 14,040
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Help asap I’m so lost
The equation when solved for b gives ± 7√a/3. Option C
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, variables, constants, coefficients and factors.
They are also composed of arithmetic operations, such as;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have;
9ab² = 49
To determine the value of b, take the following steps
Divide both sides by 9a
b² = 49/9a
Now, find the square root of both sides, we have;
b = [tex]\sqrt{\frac{49}{9a} }[/tex]
b = ± 7√a/3
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I need some help please
An industrial/organizational psychologist has been consulting with a company that runs weekend job-seeking workshops for the unemployed. She collected data on several issues related to these workshops and, after conducting statistical tests, obtained statistically significant findings. She needs to find a way to evaluate effect size so that she can make recommendations to the company. One of the psychologist's findings is that 18 months after the workshop, a sample of 81 job seekers who received training on using the Internet to find job listings worked more than 30 hours per week an average of 8. 7 months in the last year, with a standard deviation of 4. 1. The typical job seeker works 7. 4 months. The psychologist finds that the estimated Cohen's d is _____, the t statistic is 2. 83, and r^2 is ______. Using Cohen's d and Cohen's guidelines for interpreting the effect size with the estimated Cohen's d, there is a ______ treatment effect. Using r^2 and the extension of Cohen's guidelines for interpreting the effect size using r^2, there is a ______ treatment effect. Another one of the psychologist's findings is that a sample of 81 job seekers who received training on interview skills scored an average of 8. 1 as measured on a 9-point job search motivation scale, with a standard deviation of. 8. The typical job seeker scores 7. 4 points. She finds that the estimated Cohen's d is _____, the t statistic is 7. 78, and r^2 is _____ Using Cohen's d and Cohen's guidelines for interpreting the effect size with the estimated Cohen's d, there is a treatment effect. Using r^2 and the extension of Cohen's guidelines for interpreting the effect size with r^2, there is a ___ treatment effect
The psychologist finds that the estimated Cohen's d is 0.32, the t statistic is 2. 83, and r² is 0.073. Using r² and the extension of Cohen's guidelines for interpreting the effect size using r², there is a small treatment effect. job seeker finds that the estimated Cohen's d is 0.88, the t statistic is 7. 78, and r² is 0.479.Using r² and the extension of Cohen's guidelines for interpreting the effect size with r², there is a large treatment effect
To calculate the estimated Cohen's d, we use the formula
d = (M - M0) / SD
where M is the mean of the treatment group (job seekers who received training on using the Internet to find job listings), M0 is the mean of the control group (typical job seeker), and SD is the pooled standard deviation of the two groups. Using the given values, we have
M = 8.7 months
M0 = 7.4 months
SD = 4.1 months
So, d = (8.7 - 7.4) / 4.1 = 0.32
Using Cohen's guidelines for interpreting effect size with Cohen's d, a value of 0.2 is considered a small effect, 0.5 a medium effect, and 0.8 a large effect. Therefore, with an estimated Cohen's d of 0.32, there is a small treatment effect.
To calculate r², we use the formula
r² = t² / (t² + df)
where t is the t statistic, df is the degrees of freedom (n-2 for a two-group design), and n is the sample size. Using the given values for the Internet training group, we have
t = 2.83
n = 81
df = 79
So, r² = 2.83² / (2.83² + 79) = 0.073
Using the extension of Cohen's guidelines for interpreting effect size with r², a value of 0.01 is considered a small effect, 0.09 a medium effect, and 0.25 a large effect. Therefore, with an r² of 0.073, there is a small treatment effect.
For the job seekers who received training on interview skills, we can calculate Cohen's d and r² in a similar way
d = (M - M0) / SD = (8.1 - 7.4) / 0.8 = 0.88
t = 7.78
n = 81
df = 79
r² = 7.78² / (7.78² + 79) = 0.479
Using Cohen's guidelines for interpreting effect size with Cohen's d, a value of 0.2 is considered a small effect, 0.5 a medium effect, and 0.8 a large effect. Therefore, with an estimated Cohen's d of 0.88, there is a large treatment effect.
Using the extension of Cohen's guidelines for interpreting effect size with r², a value of 0.01 is considered a small effect, 0.09 a medium effect, and 0.25 a large effect. Therefore, with an r² of 0.479, there is a medium to large treatment effect.
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Answer:.317
.091
Small to med
Med
.875
.431
Large
Large
Step-by-step explanation:
how to write a thesis statement for this art piece
( Hubert Robert, Pont du Gard, 1787, oil on canvas (Musée du Louvre, Paris)
Answer: A possible thesis statement for this art piece could be:
Through his painting "Pont du Gard" (1787), Hubert Robert showcases his mastery of perspective and architectural detail, capturing the grandeur and beauty of the ancient Roman aqueduct and highlighting the interplay between nature and human engineering in the landscape.
Step-by-step explanation:
Aaron is born on h day of the month. Belle is born on the k day of the month. a) If Aaron multiplies h by 4 and subtracts 64, the result is the same as that obtained by Belle when she multiplies k by 2. Show the 2h-32=k. b) If Belle adds h to 5 of k, the result is 115. Form another equation and hence solve the simultaneous equations algebraically
a) We have shown that 4h - 64 = 2k is equivalent to 2h - 32 = k. b) Aaron is born on the 25th of the month and Belle is born on the 18th of the month.
What is equivalent?In mathematics, two expressions or equations are said to be equivalent if they have the same value or solutions.
According to question:a) We are given that Aaron multiplies h by 4 and subtracts 64 to get the same result as Belle when she multiplies k by 2. Mathematically, we can write this as:
4h - 64 = 2k
We want to show that this is equivalent to 2h - 32 = k.
Starting with 4h - 64 = 2k, we can simplify it by adding 64 to both sides:
4h = 2k + 64
Dividing both sides by 2, we get:
2h = k + 32
Subtracting 32 from both sides, we get:
2h - 32 = k
Therefore, we have shown that 4h - 64 = 2k is equivalent to 2h - 32 = k.
b) We are given that Belle adds h to 5 times k and gets 115. Mathematically, we can write this as:
h + 5k = 115
We also know from part (a) that 2h - 32 = k. We can substitute this expression for k into the equation h + 5k = 115:
h + 5(2h - 32) = 115
Simplifying, we get:
h + 10h - 160 = 115
Combining like terms, we get:
11h = 275
Dividing both sides by 11, we get:
h = 25
Now we can use the expression 2h - 32 = k to solve for k:
2(25) - 32 = k
k = 18
Therefore, Aaron is born on the 25th of the month and Belle is born on the 18th of the month.
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A rectangular garden has a walkway around it. The area of the garden is 4(4.5x+3.5). The combined area of the garden and the walkway is 5.5(6x+5). Find the area of the walkway around the garden as the sum of two terms.
The product of two terms gives the walkway's area around the garden: 15x+13.5.
Define rectangleA rectangle is a four-sided polygon with two pairs of parallel and congruent sides, and four right angles. The opposite sides of a rectangle are equal in length and parallel to each other, while the adjacent sides are perpendicular to each other.
Area of garden = 4(4.5x + 3.5) = 18x+14
The combined area of the garden and the walkway = 5.5(6x+5) =33x+27.5
The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:
Aw=combined area -Area of garden
=33x+27.5-18x-14
=15x+13.5
Thus, we can say that the area of the walkway around the garden is the sum of two terms: 15x+13.5.
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how do i sketch the graph for these inequalities?
(a) An angle measures 88°. What is the measure of its supplement?
(b) An angle measures 52°. What is the measure of its complement?
measure of the supplement: ?
measure of the complement: ?
Answer: a) 92 b) 38
explanation: complementary angles add to 90 degrees and supplementary angles add to 180 degrees
a) 180-88=92
b) 90-52=
Graph the equation include aleast 3 ordered pairs
y=0.5x + 2
Answer:
(2, 3)
(0, 2)
(-2, 1)
Step-by-step explanation:
This equation is in slope-intercept form:
[tex]y=mx+b[/tex],
where [tex]m[/tex] is the line's slope, and [tex]b[/tex] is the y-coordinate of its y-intercept.
Using this knowledge, we can identify the following:
[tex]m = 0.5 = \frac{1}{2}[/tex]
[tex]b = 2[/tex]
Now, we can graph the line with a slope of 1/2 and a y-intercept at y = 2 (see the attached image).
But, even if we were not to graph it, we could still find integer points to the left and right of the y-intercept using the fact that:
[tex]\text{slope} = \dfrac{\text{rise}}{\text{run}} = \dfrac{\Delta y}{\Delta x} = \dfrac{1}{2}[/tex]
So, we can say that the following points are on the line:
(0, 2) ← y-intercept
(0 + 2, 2 + 1) = (2, 3) ← point to the right
(0 - 2, 2 - 1) = (-2, 1) ← point to the left
The cost, in dollars, of a single-story home can be approximated using the formula
C = klw, where is the approximate length of the home and w is the approximate
width of the home. Find the units for the coefficient k.
The unit for the coefficient k would be dollars per unit of length squared.
Units of a variableTo find the units for the coefficient k in the formula C = klw, we need to analyze the units of each variable.
C represents the cost of the home, which is measured in dollars.
l represents the length of the home, which is measured in some units of length, such as feet or meters.
w represents the width of the home, which is also measured in some units of length, such as feet or meters.
Therefore, we can determine the units for k by analyzing how the units for C, l, and w combine in the formula C = klw.
Starting with the left-hand side of the equation, we know that C represents dollars.
On the right-hand side of the equation, we have k times l times w. To determine the units of k, we need to figure out what units would make the entire right-hand side of the equation equal to dollars.
Since we are multiplying three quantities (k, l, and w), the units of k must cancel out the units of length in l and w in order to leave us with units of dollars.
This means that the units of k must be dollars per unit of length squared. We can write this as:
k = $/length^2
So, the units for the coefficient k in the formula C = klw are dollars per unit of length squared.
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what is the answer of this question (please i need help)
Answer:
The answer is B ([tex]x=\frac{6}{5}[/tex])
Step-by-step explanation:
We start with creating labels for the shapes that represent what they value -at first I tried multiplying the 5x by 4 but there wasn't an answer for that.
[tex]5x+4=10[/tex]
First we just simplify,
[tex]5x (-4)=10(-4)[/tex]
[tex]5x=6[/tex]
then divide,
[tex]\frac{5x}{5} =\frac{6}{5}[/tex]
and we end up with:
[tex]x=\frac{6}{5}[/tex]
or
B
How to solve? Answers are side side side, side angle side, angle angle angle, hypotenuse leg, or none)
The given triangles AOB and triangle OCB are proved congruent by using the property - angle side angle congruency.
Explain about the triangle congruency:Of three sides, three angles, plus three vertices, a triangle is a two-dimensional shape. If the matching sides or angles of two or more triangles match, the triangles are said to be congruent. Congruent triangles are identical in terms of their dimensions and shape.
Two triangles belong together if whose corresponding two angles but one included side are equivalent, according to the Angle- Side- Angle rule (ASA).
Given data:
AB || CDCO = OBAs, AB || CD, ∠ABO ≅ ∠OCD (alternate interior angles)
∠AOB ≅ ∠COD (vertically opposite angles)
So,
∠AOB ≅ ∠COD
CO = OB
∠ABO ≅ ∠OCD
By using angle side angle congruence:
ΔAOB ≅ ΔCOD
Thus, the given triangles AOB and triangle OCB are proved congruent by using the property - angle side angle congruency.
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75 of the 90 kids were girls. What is the ratio of boys to girls
If 75 kids of the 90 kids were girls. The ratio of boys to girls is 1:5.
If there were 75 girls out of 90 kids in total, then the number of boys can be found by subtracting 75 from 90:
The Number of boys = 90 - 75 = 15
Therefore, the ratio of boys to girls is:
The Number of boys : The Number of girls
15 : 75
To simplify this ratio, we can divide both sides by 15 (which is the greatest common factor of 15 and 75):
15 ÷ 15 : 75 ÷ 15
1 : 5
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A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
The cost of the shirt, in dollars, after the 30% discount is $17.50.
What is discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.
If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:
30% of $25 = 0.30 x $25 = $7.50
The discount amount is $7.50, so the new price of the shirt after the discount is:
$25 - $7.50 = $17.50
Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.
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Kelley surveyed people to find their favorite hat color. She is making a circle graph of the data. What is the measure in degrees of the
central angle in the graph for the people that chose red?
Number of Hats
brown: 180
Black: 60
Red: 90
Blue: 120
The measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.
What is the central angle?A central angle is an angle formed by two radii (or rays) that intersect at the center of a circle. It is an angle whose vertex is at the center of the circle, and its sides are the radii that intersect the circle's circumference.
According to the given information:
To find the measure in degrees of the central angle for the people that chose red, we need to calculate the percentage of people that chose red out of the total number of people surveyed, and then convert that percentage into degrees.
Total number of people surveyed = 180 (brown) + 60 (black) + 90 (red) + 120 (blue) = 450
Percentage of people that chose red = (Number of people that chose red / Total number of people surveyed) * 100 = (90 / 450) * 100 = 20%
Now, we can convert the percentage into degrees using the formula for calculating the central angle in a circle graph:
Central angle = (Percentage / 100) * 360
Plugging in the percentage of people that chose red:
Central angle for red = (20 / 100) * 360 = 72 degrees
So, the measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.
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Use the drawing tools to form the corect answer on the provided dot plots.
For nine full months of the school year, two teachers recorded the number of students who were late to their first class of the day. Their monthly
totals are presented in these data sets.
Ms. Cleary: 3. 4. 8. 6, 5, 4, 2, 3. 3
Mr. Tram: 2, 7, 4, 5, 1, 8, 7, 4, 4
Construct a dot plot for each set of data
Drawing Tools
Select
Point
Click on a tool to begin drawing.
Reset
23 456
Ms. Cleary
0
Undo
234567
Mr. Tram
The dot plot is in the provided image below;.
How to create the dot plotTo create a dot plot for Ms. Cleary's data, follow these steps:
Label the horizontal axis with numbers from 0 to 10, representing the number of students who were late.
For each value in Ms. Cleary's data set, place a dot above the corresponding number on the horizontal axis.
Repeat this process for each value in the data set.
Ms. Cleary's dot plot should look like this (each dot represents one occurrence of that value in the data set): (look at image)
To create a dot plot for Mr. Tram's data, follow the same process:
Label the horizontal axis with numbers from 0 to 10, representing the number of students who were late.
For each value in Mr. Tram's data set, place a dot above the corresponding number on the horizontal axis.
Repeat this process for each value in the data set.
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0.000309 in scientific
Answer:
0.000309 in scientific notation is 3.09 x 10^(-4)
Answer:
0.309x10 to the -4 power
Step-by-step explanation:
just move the decimal place back till its a whole number and do that number to the power of ten if that makes sense
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Ashanti works at a T-shirt shop, She sold 15 T-Shirts. Of the shirts she sold, 3 were blue. What is the experimental probability that the next shirt she sells will be blue?
Step-by-step explanation:
The 'experiment' shows that 3 out of 15 shirts sold is blue
or 3/15 .... = 1/5 chance the next shirt is blue
What kind of polynomial is -7?
-7 is a constant term and is considered a polynomial of degree zero, also known as a constant polynomial.
What is polynomial?A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.
What is constant polynomial?A constant polynomial is a polynomial of degree zero, which means that it has no variables and is simply a constant value, such as 2, -3, or 0.
According to the given information:
In algebra, a polynomial is an expression consisting of variables, coefficients, and exponents, which are combined using addition, subtraction, multiplication, and division. A constant is also considered as a polynomial, but a special kind of polynomial called a constant polynomial. A constant polynomial is a polynomial of degree zero, which means that it has no variables and has a constant value, such as -7, 3, or 0. Unlike other polynomial expressions, a constant polynomial does not involve any operations, variables, or exponents, and its value does not change regardless of the input. However, it can still be added, subtracted, or multiplied with other polynomials.
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What is the area of a right triangle with a base of 7 feet and a height of 16 feet?
36 ft2
56 ft2
90 ft2
180 ft2
Answer:
The answer for Area is 66ft²
Step-by-step explanation:
A=1/2bh
A=1/2×7×16
A=7×8
A=56ft²
market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.
Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables. True
They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.
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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F
This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.
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Eli's house is due west of Yardley and due south of Salem. Yardley is 7 miles from Eli's house and 9 miles from Salem. How far is Salem from Eli's house, measured in a straight line? If necessary, round to the nearest tenth
By Pythagorean , Eli's home is thus roughly **11.4 miles** from Salem when viewed from a straight line.
Define Pythagorean theorem?A fundamental relationship between a right triangle's three sides in Euclidean geometry is known as the Pythagorean theorem. The hypotenuse is the side that forms the right angle, and the rule says that the square of its length is equal to the sum of the squares of the lengths of the other two sides. In other words, if the hypotenuse is length c and the legs of a right triangle are lengths a and b, then a²+ b² = c² .
Call Yardley Y, Salem S, and Eli's home E. As far as we are aware, Y is located 7 miles from E and 9 miles from S.
We can check that the distance between Eli's house and Salem is the hypotenuse of a right triangle with Yardley as one of the vertices because Eli's house is located due west of Yardley and due south of Salem. The Pythagorean theorem can be used to determine this distance.
Eli's home is 11.4 miles from Salem at a distance of√(7 + 9 ) = √(130).
√(130) = 11.4miles
Eli's home is thus roughly **11.4 miles** from Salem when viewed from a straight line.
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A sector of a circle has a central angle of 120°.
Find the area of the sector if the radius of the circle is 8cm. (Round your answer to two decimal place.)
Rounding to two decimal places, the area of the sector is approximately 67.02cm².
What is area?Area is a measurement of the size of a two-dimensional surface, such as the surface of a flat object or the ground. It is expressed in units of square units, such as square meters or square feet.
Here,
To find the area of the sector of a circle, we need to know the measure of the central angle and the radius of the circle. In this case, we are given that the central angle is 120° and the radius of the circle is 8cm. We can use the formula for the area of a sector of a circle:
Area of sector = (central angle/360°) x πr²
where r is the radius of the circle and π is a constant approximately equal to 3.14.
Plugging in the values we have:
Area of sector = (120°/360°) x π(8cm)²
Area of sector = (1/3) x π(64cm²)
Area of sector = (1/3) x 201.06cm²
Area of sector = 67.02cm²
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please I need HELP!!!
Answer:
the answer is 0.77 yes that is the answer
Answer:
C. 0.64
Step-by-step explanation:
the answer is on the picture
Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8
Answer:
C
Step-by-step explanation:
3x - 9y = 9 → (1)
- 2x +2y = 8 ( subtract 2y from both sides )
- 2x = - 2y + 8 ( divide through by - 2 )
x = y - 4
substitute x = y - 4 into (1)
3(y - 4) - 9y = 9
3y - 12 - 9y = 9
- 6y - 12 = 9 ( add 12 to both sides )
- 6y = 21 ( divide both sides by - 6 )
y = [tex]\frac{21}{-6}[/tex] = - [tex]\frac{7}{2}[/tex]
Briana Ralph is married and claims 2 allowances. Her gross weekly salary is $450. Each week she pays federal, Social Security, and Medicare taxes, $21.20
for medical insurance, and $5.00 for the credit union. What is her net pay?
Answer:
423.8
Step-by-step explanation:
you have to add the taxes and insurance together then subtract it by the gross salary and then you get your answer brainly please
