What is the length of the unknown leg in the right triangle?
​

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

Answer:

612

Step-by-step explanation:

9 x 68 = 612

Answer:

48cm³

Step-by-step explanation:

Volume of a Triangular Prism Formula

Is used To Find the 3-D space/ volume occupied by a triangular prism.

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

side length a = 4

side length b = 5

side length c = 3

prism height h = 8

V=1/4h√((c+a−b)(a+b−c))× √((a+b+c)(b+c−a))

V=1/4(8)√((3+4−5)(4+5−3))× √((4+5+c3)(5+3−4))

V= 48cm³

Answer:

252 ft²

Step-by-step explanation:

A triangular prism has three rectangles and two triangles, to find the surface area, first find the surface area of thee rectangles and then the surface area of the triangles. After that add all the surface area.

For rectangle 1, surface area = 20 × 3 = 60 ft²

For rectangle 2, surface area = 20 × 4 = 80 ft²

For rectangle 3, surface area = 20 × 5 = 100 ft²

The triangle has height, base and hypotenuse. 5 ft is the hypotenuse and the height and base are 3 ft and 4 ft.

5² = 3² + 4²

For the triangle, the surface area =  1/2 × base × height = 1/2 × 3 × 4 = 6 ft²

Total surface are = 60 + 80 + 100 + 2(6) = 252 ft²

Answer:

1020

Step-by-step explanation:

8+16÷4·3+5·4·25·2

PEMDAS

Multiply and divide from left to right

8+4·3+5·4·25·2

8+12+5·4·25·2

8+12+1000

Then add

1020

Answer:

where's the data

Step-by-step explanation:

9514 1404 393

Answer:

  ∠I = 59.0°

Step-by-step explanation:

The applicable trig relation is ...

  Tan = Opposite/Adjacent

  tan(I) = JK/KI = 90/54

  I = arctan(90/54) ≈ 59.04°

The measure of angle I is about 59.0°.

Answer:

I believe its c because a b and d are far off

Step-by-step explanation:

Answer:

- The mean, median and modal students' grades are all grade 70.

- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.

- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.

- 68% of the class score between grade 55 and 85.

- 95% of the class score between grade 40 and 100.

Step-by-step explanation:

If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.

It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.

The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;

68% of the distribution exists between (70±15) = (55, 85)

95% of the distribution exists between two standard deviations of the mean.

[70±(2×15)] = (40, 100)

Hope this Helps!!!

Answer:

Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.

Step-by-step explanation:

What did you include in your response? Check all that apply.

The mean and median of the scores is 70.

Most of the scores are between 55 and 85.

Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4[/tex]

For x = 78, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6[/tex]

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

Answer:

5/7

Step-by-step explanation:

There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.

Feel free to correct me if I'm wrong

Answer:

The answer is C

Step-by-step explanation:

Answer:

You find the base and height then divide by 2

Step-by-step explanation:

Answer:

height x 2 divided by 1/2  

Step-by-step explanation:

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

Answer:

[tex](-5,-8).[/tex]

Step-by-step explanation:

Given the equation

[tex]-3x+7y=5x+2y[/tex]

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]

When x=-5

[tex]-8*-5=-5y\\\\40=-5y[/tex]

Dividing both sides by -5

[tex]y=-8[/tex]

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is [tex](-5,-8).[/tex]

Answer: Increased A.

Step-by-step explanation:

Answer:

2 1/4

Step-by-step explanation:

2 2/8

The top and bottom of the fraction can be divided by 2

2 1/4

Answer:

D

Step-by-step explanation:

Trapezoid

Answer:

D is the answer..

Trapezoid

Answer:

2049.2

Step-by-step explanation:

512.3÷ 0.25​= 2049.2

You can use a calculator... (or long division.)

Answer:

2,049.2

Step-by-step explanation:

Hope this helped!

o(*^▽^*)┛

Answer: 625 meters

Step-by-step explanation: Five hundred meters of pipe would require twenty men working for ten days.

First, we have to find the rate of work for one man. This is calculated thus:

(500m) ÷ (20men × 10 days) = 500 ÷ 200 = (5/2) = 2.5 meters per day

From the rate of work of one man, we can then calculate the length in meters that fifty men can lay in five days. This is calculated thus:

50 men × (5/2) × 5 days = 50 × 2.5 × 5 = 625 meters.

Therefore, fifty men working together would lay six hundred and twenty five (625) meters of pipe in five days.

Answer:

Step-by-step explanation:

surface area=2πrh+2πr²=2πr(r+h)

=2π×5(5+11)

=160π

≈505.7 yd²

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Answer:

(-2, -2)

Step-by-step explanation:

You have to find the lowest point of the graph.  That would be 2 to the left of the origin and 2 down.  Note that the scale on the graph differs for the x- and y-axis.

Answer:

1) you use any parallel lines or rectangles we can double the triangle to get the area and then divide by 2 as we know the length is 92.5yards and we know the width is 53.5 yards.

We would x these by each other and then divide by 2.

We have the width 53 1/2 yards wide and convert this to decimal if we want.

= 53.5 yards.

We then can count the yards for the length =  90 hash marks = 90 yards+ 2.5

= 92.5yards.

We square then add to find the hypotenuse diagonal line but it is an estimate as the lines inscribed subtends into the corner and it becomes a little larger as bottom line is used. Diagonal is found after by doing a reverse equation on the area.

53.5 x 92.5 then divide by 2 = 4948.75/2 = 2474.375

then 2474.375/ 26.75 = 92.5

This proves the line is isosceles and also find the height of the triangle.

But only as an estimate as the actual line distends

Last answer is B and W are equal measures this is because we do not see a right angle and if we bisected the triangle from the goal line to the left side we would prove the midpoint goal line is actually equal and makes lines of play isosceles where two sides are the same at point B and W.

So the answer is 1 yard as B runs the length of the goal back to a position of diagonal run.

The diagonal length is 92.5 yards

Step-by-step explanation:

Answer:

26√3

Step-by-step explanation:

4√3+11√12

We know that sqrt(ab) = sqrt(a) sqrt(b)

4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]

4√3+11*[tex]2 \sqrt{3}[/tex]

4√3+22 [tex]\sqrt{3}[/tex]

Combine like terms

26√3

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

Simplify them:

[tex]11\sqrt{12} = 22\sqrt{3}[/tex]

[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]

Answer:

0.7241

Step-by-step explanation:

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it

[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]

So now you have the opposite (2.1)

so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]

Answer:

[tex] \sin X = 0.7241 [/tex]

Step-by-step explanation:

For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos X = \dfrac{adj}{opp} [/tex]

[tex] \cos X = \dfrac{2.0}{2.9} [/tex]

[tex] \cos X = 0.689655 [/tex]

Since we now know the value of cos X, we can find the value of sin X by using the trig identity

[tex] \sin^2 X + \cos^2 X = 1 [/tex]

[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]

[tex] \sin^2 X = 0.524376 [/tex]

[tex] \sin X = 0.7241 [/tex]

i think i is 56 do you have answer choices?

Answer:

X^3 + x^2 + x

Step-by-step explanation:

First, distribute the negative sign to the numbers in the second parentheses. Then you’ll need to combine like terms.

d or DC

Hope this helps!! :)

Answer:

172.5 inches cubed

Step-by-step explanation: