find the unlabeled sides and calculate the lenths.
Answer:
v = 9√2 ; u = 18
Step-by-step explanation:
angle 45 degrees = the legs are congruent
v = 9√2
u = [tex]\sqrt{(9\sqrt{2} )^2+{(9\sqrt{2})^2}} = \sqrt{2(9\sqrt{2)}^2} = \sqrt{2 (81 *2) }= \sqrt{4 * 81}= 2 * 9 = 18[/tex]
Answer:
v = 9√2u = 18Step-by-step explanation:
a triangle with an angle of 90° and an angle of 45° is an isosceles right triangle, so V equals 9√2.
to find u we use the Pythagorean theorem
u = √(9√2)²+(9√2)²
semplifyu = 9 + 9
u = 18
By rounding to one significant figure, estimate the answers to these questions:
a) 59 +25
b) 6820
71
c)
91 × 18
58
Answer:
A. 90 B.690000 C.180000Step-by-step explanation:
A. 60 + 30 = 90
B. 690000
C. 90 x 2000 = 180000
How to find a relationship on a graph.
The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.
How to Find the Relationship on a Linear Graph?Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.
In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.
The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)
m = 4/5
To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:
y = 4/5x + 3
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please can anyone help
51x51
pleasee
Answer:
51 x 51 = 2601
Step-by-step explanation:
Answer:
2601
Step-by-step explanation:
hope it helps
What is the opposite rational number of -3/2
The opposite rational number of -3/2 is -2/3.
Define rational number.p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers. A rational number is one that can be stated mathematically as the quotient or fraction pq of two numbers, p and q, with p being the numerator and q being the denominator. Every integer, such as 5 = 51, is a rational number, as is the number 37.
Given,
Rational number:
-3/2
Reciprocating,
-2/3
The opposite rational number of -3/2 is -2/3.
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In
an earlier study, the population proportion was estimated to be 0.18.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90%
confidence level with an error of at most 0.027 Round your answer up to the next integer,
According to the given confidence interval, the number of samples for this research is 1134.
Confidence interval
Confidence interval means the percentage of probability, or certainty, that the confidence interval would contain the true population parameter when you draw a random sample many times.
Given,
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.18.
Here we need to find the number of samples.
Here we know that the Confidence level=0.99,
So, the value of
=> 1−α=0.99,
Noe, the estimate of population proportion = 0.18,
So, the value of pˆ=0.19,
And the Allowable error = 0.03
Which is E=0.03
Now, the determined value of α is calculated as,
=> α = 1 − 0.99 = 0.18
Thus, the value of z will produce 99%confidence is,
=> zα / 2 = z 0.01/2
=> z0.005 = 2.575
=> (2.575)√(.18)(1-0.18)/√0.03
Therefore, the resulting value is 1134
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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 6 days. 64% of all of these types of trials are completed within how many days
Answer:
30 days
Step-by-step explanation:
Look at you z-score table to find the value closest to .6400 (64%)
my table shows this corresponds to z-score + .36 standard deviation ABOVE the mean of 22 days
.36 * 22 = ~ 8 days
added to the mean 8 + 22 = 30 days
Solve the system for 25 points
Answer: its gonna be D
Step-by-step explanation:
its just zeros
Somebody please help
Answer:
The answer to your question is,
D. Reflect over the x-axis and reflect over the y-axis
Step-by-step explanation:
I Hope this helps :)
Answer:
C. Reflect over the X axis and translate 6 units left
Step-by-step explanation:
That is the only one that works
A, B, and D are close but don't line up. For one rectangle to line up with another, it had to be in the same place with the same letters at the same corners. For option C, a reflection across the X axis means that rectangle ABCD will flip across the horizontal line. (it matches A'B'C'D now) then a translation 6 units left just moves it six boxes left. It should match A"B"C"D now :)
Nao and Arban drive to work.
Nao drives 95 miles in 2.5 hours.
Arban drives 128 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Thank You.
Answer:
41.6 km/h
Step-by-step explanation:
Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h
1 hr 15 min is the same as 1.25 hours
Arban drives 128km/1.25hr or 102.4 km/h
The difference is 102.4-60.8 = 41.6
Convert 7.5 miles to yd
Answer:
13200
Step-by-step explanation:
7.5 x 1760 = 13200
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=[tex]\frac{550}{c}[/tex]
csin8°=550
c=550/sin8°
c= 3,952
The function f(w) is graphed below. What is true about the graph on the interval from point a to point b?
The graph of the function f(x) is negative and decreasing from point a to point b.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the given graph of f(x) it is decreasing as it is going downwards in the interval from a to b where x is increasing and the graph is negative also in the interval a to b as it is in the negative y-axis.
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16.
1
Breakfasts cost $7.50. Find 10
the customer's total cost for
ordering 100 breakfasts.
Explain the number of zeros
and the placement of the
decimal in your answer using
a place value chart.
17
Answer:
The total of 100 breakfasts that cost $7.50 would be $750 and the placement of the decimal point would be moved 2 spaces to the right.
Step-by-step explanation:
Breakfasts cost $7.50. Find the customer's total cost for ordering 100 breakfasts. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
7.50(100)
Brainliest Please?
What does the a b and c effect in this equation when used onto a graph? (Just general explanation)
The line x1 = b/2a serves as the axis of symmetry for the graph of a quadratic equation with the form y1 = ax1²+bx1+c.
What is graphing quadratic equation ?A parabola is the name for a quadratic function's graph.
Finding the vertex for the given equation is the first step in drawing a parabola graph. To accomplish this, use the formulas x=-b/2a and y=f(-b/2a). When the quadratic equation is stated in the vertex form, f(x) = a(x-h)2 + k, where (h, k) is the parabola's apex, the graph is plotted.
Let y equal the phrases on both sides of the equal sign as the first step.
Step 2: Graph the two newly formed functions.
Step 3: Estimate the location(s) where the function graphs intersect.
Hence a quadratic equation with the form y1 = ax1²+bx1+c is graphed, and the line x1 = b/2a acts as the axis of symmetry.
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Help me please!!!!!!
Answer:
mixed number: 12 2/5
improper fraction: 62/5
Step-by-step explanation:
Cube length is 5 inches what is the shape of its face
Make v subject of the formula T= v divided 6+5
The representation of the given equation 'v' as subject of the formula v = 6 ( T - 5 ).
What is meant by mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Dividends are made by multiplying them. When you divide 12 into three equal groups of 4, you get four in each group if 3 groups of 4 add up to 12.The main goal of division is to produce equal groups or to establish the number of individuals in each group after a fair distribution.In mathematics, division is the process of dividing a number into equal parts and determining the most possible number of equal parts.For example, 15 is divided into 3 groups of 5 when multiplied by 3.Given,
T = v / 6 + 5
substract 5 on both the sides, we get
⇒ T - 5 = v / 6 + 5 - 5
⇒ v / 6 = T - 5
Now represent 'v' as a subject of the formula we get,
v = 6 ( T - 5)
Hence, v = 6 (T - 5 ) is the representation of the given equation 'v' as subject of the formula.
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The following is a street map of a beighbourhend. Study the street map and answer the questions
1.21 How many houses are there in this neighbourhood?
1.2.2 Which building is located next to the park? 1.2.3 Which business appears more than all the other businesses?
1.2.4 The bar (graphic or line) scale shows the distance of the bar in real life Measure the length of the bar in centimetres
1.2.5 Hence, use your measurement in QUESTION 1.24 to explain the scale of this street map 12.6 How many more houses are in the street at the top than the street at the bottom?
1.2.1 There are 18 houses in the neighborhood.
1.2.2 The building located next to the park is the hospital.
1.2.3 The business which appears more than all the other businesses in the neighborhood is the Cafe.
1.2.4. The bar scale measures 25 centimeters.
1.2.5 Based on the above measurement, the scale of this street map has a scale factor of 0.005468, compared to the original distance of the neighborhood.
1.2.6 There are 3 more houses in the street at the top than the street at the bottom.
What is the scale factor?The scale factor is the ratio between two scales of an object.
The scale factor shows how larger or smaller the new scale is compared to the old scale (original measurement).
The formula for the scale factor is as follows:
Scale factor = Dimension of the new scale ÷ Dimensions of the original scale.
1 yard = 91.44 centimeters
50 yards = 4,572 centimeters (91.44 x 50)
The original (larger) dimension of the neighborhood = 50 yards or 4,572 centimeters
Scale (smaller) dimension of the map = 25 centimeters
Scale factor = Smaller dimension/Larger dimensions
= 25/4,572
= 0.005468
The number of houses at the top street = 8
The number of houses at the center street = 5
The number of houses at the bottom street = 5
The total number of houses in the neighborhood = 18
The difference between the top street houses and the bottom street houses = 3 (8 - 5)
The number of cafes = 2
The number of parks = 1
The number of other businesses = 1 each
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help i give good points
Answer:
[tex]r=12, y=12x[/tex]
Step-by-step explanation:
[tex]\frac{y}{x}=\frac{48}{4}=12 \\ \\ \therefore r=12 \implies y=12x[/tex]
Convert 3492 in to yards
Answer:
97 yards
Step-by-step explanation:
conversion factor 36 in = 1 yard
(3492/1 in)(1yd/36in)
3492/36 yd = 97 yards
Answer:
97 yards
Step-by-step explanation:
First, convert inches to feet:
3492in / 12in = 291 ft
(12 inches in one foot)
Then, convert feet to yards:
291ft / 3ft = 97 yds
(3 feet in one yard)
Write 69200000 in scientific notation
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
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Which event is least likely to occur?
1. Rolling a multiple of 3 on a twelve-sided die, numbered from 1 to 12.
2. Spinning a spinner is divided into four equal-sized sections colored red/green/yellow/blue and lands on red or blue.
3. Winning a raffle that sold a total of 100 tickets, if you buy 62 tickets.
4. Reach into a bag full of 15 strawberry chews and 65 cherry chews without looking and pulling out a strawberry chew.
The event that is least likely to occur among the given events after finding their probabilities is; Event number 4
What is the probability of selection?1) From 1 to 12, the multiples of 3 are;
3, 6, 9 12. They are 4 in number and so;
P(roll a multiple of 3) = 4/12 = 0.333
2) Spinner is divided into 4 equal sized sections made up of red/green/yellow/blue. Thus probability that it lands on red or blue.;
P(red) = 1/4
P(blue) = 1/4
Thus;
P(red or blue) = (1/4) + (1/4)
P(red or blue) = 1/2 = 0.5
3) Total number of tickets = 100
Number bought = 62
Thus, probability of winning = 62/100 = 0.62
4) Number of strawberry chews = 15
Number of cherry chews = 65
Total number of chews = 15 + 65 = 90
Probability of pulling out a strawberry chew is;
P(Strawberry chew) = 15/90 = 0.167
The least likely to occur has the least probability which is number 4.
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Prove by Mathematical Induction that 1 / 1 ×2 + 1 / 2 ×3 + 1 / 3 × 4 + ... + 1 / n ( n + 1 ) = n / n + 1
The required proof by Mathematical Induction of 1 / 1 ×2 + 1 / 2 ×3 + 1 / 3 × 4 + ... + 1 / n ( n + 1 ) = n / n + 1 has been in the solution.
To begin, we suppose that the assertion is correct for some integer k.
⇒ 1/1. 2 + 1/2 . 3 + . . . + 1/k . (k+1) = k/(k+1) ....(i)
As per Mathematical Induction, the required solution would be as:
Let the LHS be Sk.
Consider the series with one more term, when k = k+1.
We must demonstrate that Sk+1 has the same form as equation (i) but with k substituted by k+1.
Then,
Sk+1 = Sk + 1/(k+1)(k+2)
= k/(k+1) + 1/(k+1)(k+2)
= [k(k+2) + 1] / (k+1)(k+2)
= (k2+2k +1) / (k+1)(k+2)
= (k+1)2 / (k+1)(k+2)
= (k+1) / (k+2)
= (k+1) / ((k+1)+1)
And this has the same form as equation (i) but with k+1 in place of k.
As a result, if it is true for n=k, it must also be true for n=k+1.
When n=1, S1 = 1/1. 2 = 1/2 = 1/1(1+1), hence the assertion is correct.
As a result of the preceding demonstration, it must be true for n= 1+1 = 2.
as well as for n=2+1=3 and so forth for all n numbers.
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what is 1234000 times squared
Answer:
1.522756e+12
Step-by-step explanation:
Four friends have each ordered a different AoPS textbook. When they arrive in the same package, they are distributed at random, one book to each person.
(a) What is the probability that Ann gets Introduction to Counting & Probability?
(b) What is the probability that Ann gets Introduction to Counting & Probability and Beth does not get Introduction to Geometry?
(c) What is the probability that Ann gets Introduction to Counting & Probability and Beth does not get Introduction to Geometry and Caleb gets Introduction to Algebra?
The probabilities are given as follows:
a) Ann gets Introduction to Counting & Probability: 1/4 = 0.25 = 25%.
b) Ann gets Introduction to Counting & Probability and Beth does not get Introduction to Geometry: 1/6 = 0.167 = 16.7%.
c) Counting & Probability and Beth does not get Introduction to Geometry and Caleb gets Introduction to Algebra: 1/24 = 0.0417 = 4.17%.
How to obtain the probabilities?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
In this problem, the total number of outcomes is the arrangements of 4 elements, hence:
Total = 4! = 24.
For item a, we want Ann to get one book, and the remaining 3 books are arranged, hence the probability is of:
p = 3!/4! = 1/4 = 0.25 = 25%.
For item b, we want for Ann to get one book, Beth can get 2 of them, and the remaining 2 are arranged, hence the probability is of:
p = 2 x 2!/4! = 4/24 = 1/6 = 0.167 = 16.7%.
For item c, we have a fixed book for each student, hence the probability is of:
p = 1/24 = 0.0417 = 4.17%.
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Write a quadratic inequality for the graph.
The required quadratic inequality whose graph is given below is
[tex]y > -\frac{1}{4}x^2 -4x +2[/tex]
What is graph of a function?
At first it is important to know about function
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function f(x) is the collection of all point of the form (x, f(x))
Let the equation be [tex]y = ax^2 + bx + c[/tex]
The graph passes through (0, 2)
Putting x = 0 and y = 2
c = 2
[tex]y = ax^2 + bx + 2[/tex]
The graph passes through (-12, 14) and (-4, 14)
[tex]14 = (-12)^2a + (-12)b+2\\144a - 12b = 14 - 2\\12(12a- b) = 12\\12a - b = \frac{12}{12}\\12a - b = 1 ... (1)[/tex]
Also
[tex]14 = (-4)^2a + (-4)b + 2\\16a - 4b = 14 - 2\\16a - 4b = 12\\4(4a - b) = 12\\4a - b = \frac{12}{4}\\4a - b = 3 .... (2)[/tex]
Subtracting (2) from (1),
8a = -2
[tex]a = -\frac{2}{8}[/tex]
[tex]a = -\frac{1}{4}[/tex]
Putting the value of a in (2)
[tex]4 \times -\frac{1}{4} - b =3\\-1 - b = 3\\b = -3 - 1\\b = -4[/tex]
The required equality is
[tex]y = -\frac{1}{4}x^2 -4x +2[/tex]
Since the shaded region is the outer region and the line is given dotted,
The required quadratic inequality is
[tex]y > -\frac{1}{4}x^2 -4x +2[/tex]
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A picture 10 inches long by 8 inches wide has a frame whose area is one half
the area of the picture. What are the outside dimensions of the frame?
The dimension outside the frame is 11 inches long and 9 inches wide.
In the given question we have to find the outside dimensions of the frame.
In the given question, a picture 10 inches long by 8 inches wide has a frame whose area is one half the area of the picture.
The dimension of a picture is 10 inches long by 8 inches wide.
The area of the frame is one half i.e(1/2=0.5)to the area of the picture.
So the length of the frame is
=10+0.5+0.5
=11 inches
The width of the frame is
=8+0.5+0.5
=9 inches
Hence, the dimension outside the frame is 11 inches long and 9 inches wide.
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Help! Trig Homework. Will give brainliest!!!
Answer:
[tex]\frac{4\pi }{5}[/tex]
Step-by-step explanation:
the 2 angles lie on the x- axis and sum to π , then the curved arrow angle is
π - [tex]\frac{\pi }{5}[/tex] = [tex]\frac{5\pi }{5}[/tex] - [tex]\frac{\pi }{5}[/tex] = [tex]\frac{4\pi }{5}[/tex]
Find two positive numbers whose difference is 28 and whose product is 2720.
Answer:
68 and 40
Step-by-step explanation:
x - y = 28
x * y = 2720
x = 28 + y
(28+y)y = 2720
28y+y^2 = 2720
y^2 + 28y - 2720 = 0
discriminant = 28^2 - 4(-2720) = 784 + 10 880 = 11 644
we are searching only the positive value
y = (-28 + 108)/2 = 80/2 = 40
x = 28 + 40 = 68