Answers
The required measure of x is given in each triangle are given as,
2. x = 74.01 3. 25.09 4. x = 23.78
5. x = 26.64 6. x = 21.03° 7. x = 39.55°
If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
2.
For the given triangle
Apply the trigonometric ratios,
Tan 62 = x/25
x = 25 tan62
x = 74.01
Similarly,
3. x = 11/sin26 = 25.09
4. x = 32sin48 = 23.78
5. x = 29/cos12 = 29.64
6. cosx = 14/15 = 21.03°
7. tanx = 19/23 = 39.55°
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Related Questions
In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?
Answers
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.
The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.
For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.
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Which equations are true for the values of x, y, and z?
Answers
The equations that are true for the values of x, y and z are :
x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degreesWhat are the equations for x, y, and z ?The equations can be found based on the relationships between the variables as angles.
x and z are opposite each other which makes them congruent angles which means that they are the same value.
y and 65 degrees are also opposite each other which makes them congruent.
x and 65 degrees are on a straight line and so will add up to 180 degrees which is why the correct equation would be :
x degrees + 65 degrees = 180 degrees
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Options include:
x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degreesx degrees= 65 degreesx degrees + y degrees + z degrees = 115 degreesPoint G is located at -18 on a number line. Point H is 24 more than Point G. Where is Point h?
Answers
Point H is located at 6 on the number line, which is 6 units to the right of the zero point.
We know that Point G is located at-18 on the number line, and that Point H is 24 further than Point G. To find the position of Point H, we need to add 24 to the position of Point G
Point H = Point G + 24
Substituting the position of Point G, we get
Point H = -18 + 24
Simplifying the expression, we get
Point H = 6
thus, Point H is located at 6 on the number line.
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how many sides does a regular polygon have if each interior angle measures 140
Answers
A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.
To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:
n = 360 / (180 - x)
where n is the number of sides and x is the measure of each interior angle in degrees.
This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:
x = (n-2) * 180 / n
Solving for n:
n = 360 / (180 - x)
So, when we plug in the given interior angle measure of 140 degrees, we get:
n = 360 / (180 - 140)
n = 360 / 40
n = 9
Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.
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How many sides does a regular polygon have if each interior angle measures 140?
identify the constraints in this problem, and use them to set up a system of linear equations that describes the traffic flow along each street. your answer should include: i. a list of constraints along with an explanation for each constraint. ii. the linear system of equations that model this scenario.
Answers
Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St.
(a) Constraints:
The flow into and out of Jones St. is equal to the total flow into and out of Salisbury St. and Edenton St.
The flow into and out of McDowell St. is equal to the total flow into and out of Salisbury St. and Edenton St.
The flow into and out of Salisbury St. is equal to the sum of the flow into and out of Jones St. and McDowell St.
The total flow into and out of each street must be greater than or equal to 0.
Let x, y, z, and w be the traffic flow in cars per hour along Jones St., Salisbury St., Edenton St., and McDowell St., respectively. Then the system of linear equations that models this scenario is:
x - y - z = 0
w - y - z = 0
y + z - x - w = 0
x, y, z, w ≥ 0
(b) Augmented matrix representation:
[1 -1 -1 0 | 0]
[0 -1 -1 1 | 0]
[1 -1 1 -1 | 0]
[1 0 0 0 | 0]
Gauss-Jordan reduction:
[1 0 0 0 | 0]
[0 1 0 0 | 0]
[0 0 1 0 | 0]
[0 0 0 0 | 0]
The final augmented matrix is shown above. The solution to the system is x = 0, y = 0, z = 0, and w = 0.
(c) If the city were to close one of these 4 roads, then the traffic would have to be rerouted. Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St. Therefore, the city should close Salisbury St.
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Clarice has animated a 3D airplane with visible passengers in the windows. She wants the plane to move on a predetermined path across the screen. What form of animation should she use?
Answers
Parallelogram CDEF is shown below.
Find the length of the segments and the measure of the angles: CF, FE, ∠D, and ∠E.
Answers
The segments' lengths and the angles' measurements are FE = 11, CF = 10, d = 54, and e = 126
What is meant by parallelogram?Having sides that are parallel to one another, a parallelogram is a two-dimensional geometric shape. It is a sort of four-sided polygon (sometimes known as a quadrilateral) where each parallel pair of sides is the same length. A parallelogram has a total of 180 degrees in its adjacent angles. Parallelograms come in 4 different varieties, 3 of which are unique. Parallelograms, squares, rectangles, and rhombuses are the four different varieties.A parallelogram has two parallel, equilateral sides. Square, rectangle, and rhombus are a few instances of parallelograms.The quadrilateral shape known as a parallelogram is used in geometry. The object has four sides and is two-dimensional.As this is a parallelogram c = e
so 9y = 7y + 28
9y - 7y = 28
2y = 28
y = 14
So e would be 7(14) + 28
= 98 + 28
= 126.
And as d + e = 180, d = 180 - 126
d = 54
And as CF = DE
2x = x + 5
2x - x = 5
x = 5
CF = 2x
= 2(5)
= 10
And lastly CD = FE
CD = 3x - 4
CD = 3(5) - 4
= 15 - 4
= 11
FE = 11
So the answers are:
FE = 11, CF = 10, d = 54, and e = 126
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At Charles Walters Middle School, 30% of the students live more than 4 miles from school.
Answers
The fraction of the students live more than 4 miles from school is 3/10.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Given;
The percentage of students live more than 5 miles away=30%
Now,
The fraction;
=30/100
To convert it into the simplest from;
=30/100
=3/10
Therefore, the fraction in simplest form will be 3/10.
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The complete question is;
At Charles Walters Middle School, 30% of the students live more than 4 miles from school.What fraction of the students live more than 4 miles from school? Write your answer as a fraction in simplest form. ?
= #14 i
PRECISION Figures A and B are similar. Figure A has a
perimeter of 72 meters and one of the side lengths is 18
meters. Figure B has a perimeter of 120 meters. Find the
missing corresponding side length.
The missing corresponding side length is
Previous
meters.
Next
Answers
The missing corresponding side length of figure B is 30 meter.
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
Two figures are said to be similar if the ratio of their corresponding sides are in the same proportion.
Figures A and B are similar. Figure A has a perimeter of 72 meters and one of the side lengths is 18 meters. Figure B has a perimeter of 120 meters. Find the missing corresponding side length.
Let x represent the missing side length. Hence:
Scale factor = figure B perimeter / figure A perimeter = 120/72
Hence:
scale factor = figure B side length / figure A side length
substituting:
120/72 = x / 18
x = 30 meter
The missing side length is 30 meter.
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A circle has a radius of 3 inches. What is the circumference of the circle? (Use 3.14
for pi.)
Answers
Answer: look at the image for the answer and the solution
Step-by-step explanation:
Answer: 18.84
Step-by-step explanation:
because the radius is 3, the diameter is 6. And the circumference is C=pi(d).In this case, C=3.14(6), and 3.14*6=18.84
a is directly proportional to the square root of c. w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.
Answers
Answer:
W when c = 4 is 0.128.
Step-by-step explanation:
The relationship between A, C and W can be represented by the following equations:
A = k√c
W = m/a^3
Where k and m are constant of proportionality.
Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:
k = 35/√49 = 35/7
Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:
m = 16 * 2^3 = 128
Now we have both k and m, we can find the value of W when c = 4.
A = k * √c = 35/7 * √4 = 10
W = m/a^3 = 128/10^3 = 0.128
So, the value of W when c = 4 is 0.128.
solve for v -62=8v-12v-18
Answers
Answer:
v=11
Step-by-step explanation:
Combined like terms and then divide at the end
Answer: V=11
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
8q≥– 8 I need the answer pls
Answers
Answer:
=q > - 1
Step-by-step explanation:
8q > - 8
= 8q/8 > -8/8
=q > - 1.
Cindy spent $65. 25 on ingredients
for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice
of pie sells for $3. 50
Answers
Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.
1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.
2. Add the two amounts together: $65.25 + $62.84 = $128.09
3. Each slice of pie sells for $3.50.
4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.
the complete question is :
Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?
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i need help with this problem
Answers
Answer: Yes. for each input there is exactly
ONE output
Step-by-step explanation:
I did the test and it was true.
a poker hand consists of ive cards drawn from a standard 52-card deck. find the expected number of aces in a poker hand given that the irst card drawn is an ace.
Answers
The expected number of aces in a poker hand given that the first card drawn is an ace is 0.235.
If the first card drawn is an ace, then there are only 3 aces left in the deck of 51 cards from which to draw the remaining 4 cards. Therefore, we can model the number of aces in the poker hand as a binomial random variable with parameters n = 4 (the number of cards after the first ace) and p = 3/51 (the probability of drawing an ace from the remaining deck).
The expected number of aces in a poker hand given that the first card drawn is an ace can be calculated as follows:
E(X) = np = 4 * 3/51 = 12/51 = 0.235
Therefore, the expected number of aces in a poker hand given that the first card drawn is an ace is approximately 0.235.
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____ The given question is incorrect, the correct question is given below:
A poker hand consists of five cards drawn from a standard 52-card deck. find the expected number of aces in a poker hand given that the first card drawn is an ace.
as a rule of thumb, altitude corrections of less than 100 feet should be corrected by using
Answers
As a rule of thumb, altitude corrections of less than 100 feet for determining the pressure at a given altitude should be corrected using the standard pressure-altitude correction tables.
These tables provide the correction factor for the difference between the actual and standard atmospheric pressure at a given altitude. The correction factor can then be applied to the standard pressure value to obtain the actual pressure value at that altitude. Note that the standard atmospheric pressure is defined as 29.92 inches of mercury (in Hg) at sea level. The pressure decreases with increasing altitude in the lower atmosphere. The pressure-altitude correction tables provide a convenient and accurate way of determining the atmospheric pressure at different altitudes.
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Suppose the graph of rectangle ABCD shows the plans for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the plans, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?
Answers
The cost of spending the fencing around will be $1312.5.
What is a perimeter?The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be the sum of all the sides of the rectangle.
Given that the graph of rectangle ABCD depicts Kenny's intentions for erecting a safety fence to surround a construction site. The units on the graph each correspond to 25 ft.
Kenny decides to construct a fence that encloses a wider region after carefully reviewing the drawings. Given that fencing costs $5.25 per foot and Kenny enlarges rectangle ABCD by a scale factor of 2.5
Perimeter = 4 x side x scale factor
Perimeter = 4 x 25 x 2.5
Perimeter = 250 feet.
The cost of fencing will be,
Cost = 250 x $5.25
Cost = $1312.5
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consider the function graphed below. What is the average rate of change of the function over the interval (2,3)?
Answers
The average rate of change of the function over the interval [2,3] will be around 3.
What is a function?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
For example to draw the equation y = 3x +2 this will draw a straight line in the coordinate geometry.
The rate of change is given by dy/dx
The average rate of change can be given as:
= (difference in y coordinate)/(difference in x coordinate)
= Δy/Δx
Average rate of change = ( 11 - 8 )/(3 - 2 )
= 3
Hence, the average rate of change is 3
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What is the growth factor of 2% decreased
Answers
The growth factor of a 2% decrease is 0.98.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The growth factor of 2% decreased.
This means,
100% - 2%
= 98%
= 98/100
= 0.98
Thus,
0.98 is the growth factor of a 2% decrease.
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Can someone show meh pls
The tape diagram represents an equation.
Write an equation to represent the image
w 1.3 2.7
Answers
The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The length of both tapes is the same. Then the equation is given as,
w + 1.3 = 2.7
Simplify the equation for w, then we have
w + 1.3 = 2.7
w = 1.4
The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.
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The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality
a.
150
c.
210
b.
180
d.
200
Please select the best answer from the choices provided
A
B
C
D
Answer is B
Answers
The constant of proportionality is 180.
Help please I need this answer
Answers
Step-by-step explanation:
We know all angles on a traingle equal 180
We also know one angle is a right angle which is 90
180 - 90 = 90, indicating the other two angles equal 90
[tex](2x - 1) + (3x + 6) = 90[/tex]
Now we will combine the X's and constants
[tex]5x +5 = 90[/tex]
Now to subtract 7
[tex]5x = 85[/tex]
Lastly, divide by 5
[tex]x = 17[/tex]
factor out the greatest common factor from 6x^4 + 8x^3 PLEASE HELP
Answers
Answer: 2x^3(3x+4)
Step-by-step explanation: 2x3x^4+2^3xx^
Minja is three years older than her sister June. Minja's brother is eight years younger
than their sister June. The sum of all of their ages is 55 years.
x+3-8x=55.
3x 8x + x 55.
(x+3-8)+x=55
(x+3)+(x-8)+x=55
-
Answers
Answer: C
Step-by-step explanation:
help Imao pleaseeeeee
Answers
5 minus a number is less than -9: 5 - x < -9.
The product of 2 and a number is a minimum of 34: 2x ≥ 34.
Answer:
2. [tex]2n\geq 34[/tex]
3. [tex]5-n < -9[/tex]
Step-by-step explanation:
The product of 2 numbers is multiplication.
"a minimum of" is greater than or equal to.
A number minus a number is subtraction.
2.
"The product of 2 and a number" can be written as [tex]2n[/tex].
"a minimum of 34" can be written as [tex]\geq 34[/tex]
So all together
[tex]2n\geq 34[/tex]
3.
"5 minus a number" can be written as [tex]5-n[/tex]
"less than -9" can be written as [tex]< -9[/tex]
So all together
[tex]5-n < -9[/tex]
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Find the prime factorization of
the number 90.
Order the factors from least to greatest.
Remember, 1 is not a prime number.
[ ] × [ ] × [ ] × [ ]
Enter the number that belongs in the green box.
Answers
Answer:
2 × 3 × 3 × 5 = 2 × 3 × 3 × 5
Step-by-step explanation:
The prime factorization of 90 is 2 × 3 × 3 × 5, so the prime factors are 2, 3, 3, and 5. Ordering the factors from least to greatest, we have:
2 × 3 × 3 × 5 = 2 × 3 × 3 × 5.
Quadrilateral ABCD~ Quadrilateral WXYZ, AB= 15, BC= 27, WX= 10
Answers
The scale factor is 3/2. The length of XY is 18.
What are similar Quadrilaterals?
Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.
If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.
Given that Quadrilateral ABCD is similar to Quadrilateral WXYZ.
Thus
AB/WX = BC/XY = CD/YZ = AD/WZ ....(i)
The length of AB = 15, BC= 27, WX= 10
The scale factor is
AB/WX = BC/XY = CD/YZ = AD/WZ
= 15/10
= 3/2 [Divide the denominator and numerator by 5]
Take first two ratios of (i):
AB/WX = BC/XY
15/10 = 27/XY
3/2 = 27/XY
XY = 27 × (2/3)
XY = 18
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What is the solution to 3 (2k + 3) = 6 - (3k - 5)?
Move the correct answer to each box. Not all answers will be used.
k
-8 -2 2
3 8
9
Answers
Answer: 22k
Step-by-step explanation:
The solution to the equation is k = 2/9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3 ( 2k + 3 ) = 6 - ( 3k - 5 ) be equation (1)
On simplifying , we get
3 ( 2k ) + 9 = 6 - 3k + 5
6k + 9 = 11 - 3k
Adding 3k on both sides , we get
9k + 9 = 11
Subtracting 9 on both sides , we get
9k = 2
Divide by 9 on both sides , we get
k = 2/9
Therefore , the value of k is 2/9
Hence , the solution is k = 2/9
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the primary tool or measure for determining whether the assumed regression model is appropriate is .
Answers
The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.
A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.
However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.
In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.
However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.
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