What is the volume of the prism below?

Answer:

You know that the Pythagorean Theorem is:

a²+b²=c²

,

Where:

a

is the length of one of the legs,

b

is the length of the other leg, and

c

is the length of the hypotenuse.

You know the lengths of the two legs are

7 and 11

, so we'll say that

a is 7 , and b is 11

Knowing that, we can plug those into our equation and simplify like so:

7²+11²=c²

49+121=c²

170=c²

√170=c

c=13.0384

Answer:

Step-by-step explanation:

Use Pythagorean:

Answer: 2.5833

Step-by-step explanation:

K = 1/4 or .25

3/5 = .6

3 - 0.25 / .6 = 2.5833

Answer:

11.1 times

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Answer:

(3u+2v)^2

Step-by-step explanation:

Answer:

Chinese people live in harmony with nature.

I hope it helped!

Answer:1) 1661

Step-by-step explanation:23x23 =529, 529xpi=1661

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.50   for water

1.25     for protein bar   interesting that is exactly half of the water

22.50   exactly was spent

I couldn't come up a slick equation, so I just applied some logic and used brute forced (trail and error) to solve the problem.

2.5Water + 1.25Protein =   22.5  

      8W     +           2P    =   22.5

      6W     +           6P    =   22.5

      4W     +          10P    =   22.5

      2W     +          14P    =   22.5

There are the possible combinations of both protein bars AND water, since he bought both.  He could have also bought 10 water or 18 protein bars, but that is not part of the combination.

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

Answer:

y^20

Step-by-step explanation:

Answer:

d=101

Step-by-step explanation:

If 11 is being multiplied by t, and t is 11, we multiply 11 by 11, we get 121.

After adding that to our equation, we get -20 + 121, which equals 101.

Therefore d=101

The value of d, when t = 11 is equal to 141.

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

d = - 20 + 11t

We have -

d = - 20 + 11t

for t = 11, we get -

d = 20 + 11 x 11

d = 20 + 121

d = 141

Therefore, the value of d, when t = 11 is equal to 141.

To solve more questions on functions, visit the link below -

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Answer: there are 11 calories in one glass of milk and 14 calories in one snack bar.

Step-by-step explanation:

Take milk to to be M and snack bars to be S.

Use algebra, so

2m + 3s = 64 and also

4m + 2s = 72

Multiply the top equation by 2 so both have 4m, so

4m + 6s = 128 and also

4m + 2s = 72

Then minus the numbers form the top equation by the bottom equation, so

4m + 6s = 128

- - -

4m + 2s = 72

This gives you 4s=56 so divide by 4 so s=14

No put 14 into the equation for s and rearrange to solve for m, so

2m+3s=64 So

2m+3x14=64

2m+42=64

Then minus 42

2m=22

m=11

Answer:

-1

Step-by-step explanation:

5 to the 2nd power is the same as 5 times 5... so, 24 - 25 is -1.

Answer:

c

Step-by-step explanation:

The formula that should be set up correctly to help him do this should be considered as the [tex]400(1 + 5.5\%)^{60}[/tex]

Since

the invested amount is $400

The annual compound interest is 5.5%

And, the number of months should be 60

So here the formula that should be used should be [tex]400(1 + 5.5\%)^{60}[/tex]

Hence, The formula that should be set up correctly to help him do this should be considered as the [tex]400(1 + 5.5\%)^{60}[/tex]

Learn more about interest rate here: https://brainly.com/question/14191952

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

Step-by-step explanation:

area of figure = 5x² + 3

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Answer:

c = 72

a = 51

b = 57

x = 28

Step-by-step explanation:

2x+1 + 2x-5 = 108

4x -4 = 108

4x = 112

x = 28

(2(28)-5)= 51

(2(28)+1) = 57

Answer: The answer is 133.4 degrees.

Sorry if it’s wrong, and hopes this is helps.

The measure of the angle ∠G to the nearest tenth will be 31.6°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of the perpendicular is 28.2 units and the length of the base is 45.8 units, Then the measure of the angle ∠G is calculated as,

tan G = Perpendicular / Base

Substitute the value, then the angle is given as,

tan G = 28.2 / 45.8

tan G = 0.6157

G = 31.6°

The measure of the angle ∠G to the nearest tenth will be 31.6°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:

[tex] y = \frac{3}{7} x + 3 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 3) and (7, 6)

So, y-intercept (b) = 3

Slope of the line (m) = (6 - 3)/(7 - 0) = 3/7

Equation of line in slope-intercept form is given as :

y = mx + b

Plugging the values of m and b in the above equation, we find:

[tex]y = \frac{3}{7} x + 3 \\ [/tex]

Answer:

First angle = 24'

Second angle = 156'

Third angle = 180'

Step-by-step explanation:

Given:

Ratio of circles angle = 2:13:15

Find:

All three angle

Computation:

Sum of all angle from center = 360'

So,

First angle = 360[2/(2+13+15)]

First angle = 360[2/(30)]

First angle = 24'

Second angle = 360[13/(2+13+15)]

Second angle = 360[13/(30)]

Second angle = 156'

Third angle = 360[15/(2+13+15)]

Third angle = 360[15/(30)]

Third angle = 180'

Answer:

x = - 8 and (- 8, 0 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 16x + 64 ← is in standard form, with

a = 1 and b = 16, then

x = - [tex]\frac{16}{2}[/tex] = - 8

Equation of axis of symmetry is x = - 8

Substitute x = - 8 into the quadratic and evaluate for y

y = (- 8)² + 16(- 8) + 64 = 64 - 128 + 64 = 0

vertex = (- 8, 0 )

Answer:

I can help you!

Step-by-step explanation:

I'm pretty good at math and I've gotten all As this year so

Answer:

12 and 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠= (4y - 1)°.

CD = __ .

Answer:

22.2m

Step-by-step explanation:

vol of a sphere = 4/3 x pi x r^3

vol of a hemisphere is 1/2 the vol of a sphere, so vol of a hemisphere= 2/3 x pi x r^3

2/3pi x r^3 = 257

Divide both sides by 2/3pi

r^3 = 122.708

Cube root both sides.

r = 11.077

Diameter is twice the radius, so diameter = 22.154m

To the nearest 10th of a meter this is 22.2m.

Hope I helped x

Answer: Michaela's answer

Step-by-step explanation:

Dema added the numbers together

Answer:

36

Step-by-step explanation:

Because the box is a 4x5 so that's 20 and then the triangle is a 8x4 so 32 divided by 2 is 16 and finally 16 + 20 is 36