1 point
3) A square prism has a volume of 500 cubic centimeters. If the height of
the prism is 4 times the length of the base, how long is each side of the
base?
4x
4 cm
Ο Ο
5 cm
6 cm
7cm
PLS MY TEACHER IS SO MAEN

9514 1404 393

Answer:

  -3x³y∛9

Step-by-step explanation:

The expression can be simplified by removing perfect cubes from under the radical.

  [tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]

__

It helps to realize that 243 = 3^5 = (3^3)(3^2).

Answer:

A. 20

Step-by-step explanation:

Firstly, you have an equation  where x is unknown.

It is said to find the result of this equation if x is 5.

That means you have to substitute 5 instead of x in your equation.

That will be:

3*5+4*5-15

When you calculate that, you get number 20.

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

[tex]\angle TPR=8x+7-75=360-150-91-75\\8x=112\\x=14[/tex]

Answer:

Ralph walked to Sherwood at a constant speed.

Step-by-step explanation:

Any horizontal lines on a distance time graph represent a moment where you are still, so that rules out graph 4 and graph 3. Because Ralph is at a constant speed, the gradient of the line won’t change, meaning the answer has to be Ralph walked to Sherwood at a constant speed.

Answer:

See the explanation

Step-by-step explanation:

Given data

The Given figure is already a whole number

Say the figure is $495.566

Then we can round this up to the nearest cent by considering the third decimal place

Hence the rounded figure will be

=$495.57

Answer:

102 pounds

Step-by-step explanation:

Answer:

2

3

1

4

Step-by-step explanation:

1 = 2.83

2 = -3.75

3 = 2.25

4 = 3

Answer:

[tex]\frac{9}{4}[/tex] should be 1st

√8 should be 2nd

3 should be 3rd

- 3.75 should be 4th

Answer:

0.011

Step-by-step explanation:

1/5= 0.2

0.211-0.2=0.011

Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

Answer:

126

Step-by-step explanation:

trust

Answer:

if your base is 14 and your height is 18 or the other way around then its:

14 x 18 = 252

252 divided by 2 = 126

Step-by-step explanation:

Formula of a triangle:

BH x 1/2 (basically dividing by 2)

B is your base which is the length on the bottom of the triangle and the height is the line that is put in between the triangle. You multiply those then divide by 2 since your multiply 2 with it.

Answer:

8m

Step-by-step explanation:

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

Answer:

F

Step-by-step explanation:

The x and y do not match up

Answer:

It is F.

Step-by-step explanation:

It is F because all the x's are the same as that cannot happen.

Answer:

Step-by-step explanation:

A=1/4πd2

A = 1/4(22/7)(18)^2

= 254.47

Answer:

SA= 222cm ^2

Step-by-step explanation:

Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                      = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Answer:

60in

Step-by-step explanation:

Given data

Length= 24 in

Width = 18 in

Diagonally, we need to find using the Pythagoras theorem

D^2= L^2+W^2

D^2= 24^2+18^2

D^2= 576+324

D^2= 900

Square both sides

D= √900

D= 30 in

For both sides

=30*2= 60in

Answer:

5. 28

6. 6

8. 1,232

9. 2

Step-by-step explanation:

When you know both numerators (the numbers on top) or both denominators (numbers on bottom), you can divide the second by the first and then apply that to the other side. For example, on question five, I divided twenty by fifteen. The answer is 1.33333... or [tex]1\frac{1}{3}[/tex], or [tex]\frac{4}{3}[/tex]. So I multiply 21 by this number and my answer is 28. If visualization helps:

[tex]\frac{15}{21} =\frac{20}{y}[/tex]

Step 1: 20 ÷ 15 = [tex]\frac{4}{3}[/tex] (second number divided by first number, using the side where we know both numbers)

Step 2: 21 × [tex]\frac{4}{3}[/tex] = 28 (y = 28. solved!)

You can do the same thing on question nine, even though the known numbers are on the bottom instead of the top. Fifteen divided by 120, then multiply sixteen by your answer - 0.125 - and you will see that j (i?) = 2 :)

If you have any questions, feel free to ask. Hope this helped!

Answer:

1.4 hours

Step-by-step explanation:

Runner A:

Speed = 8.1 mph

Time, = t

Runner B :

Speed = 6.3 mph

Time, = t

Distance apart = 20.16 miles

Distance = speed * time

Distance of Runner A + Distance of runner B = distance apart

8.1t + 6.3t = 20.16

14.4t = 20.16

t = 20.16 / 14.4

t = 1.4 hours

Number of hours, t = 1.4 hours

Answer:

2 meters^2

Step-by-step explanation:

Area of a rectangle = length x width

8/3 x 3/4 = 2

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

Answer:

The simplest answer is to make the fraction 27/1, using the denominator 1. The number 27 is equal to 27 units. Also it can be written as 54/2 or 81/3 or 108/4 or 135/5, etc. In general you have 27n for the numerator and n for the denominator, where n is an integer greater than zero.

Answer:

Angle RUS = 160°

Step-by-step explanation:

Angle QUT is 160, and since angles QUT and RUS are vertical angles, they are congruent to each other.

So, Angle RUS = 160°

Answer:

AL=aa2+4h2

IS the formula for square pyramid.

Answer:

The formula for a lateral area formula of a square pyramid:

2a√((a^2/4)+h^2)

a = is the base

h = height of triangle

Answer:

72

Step-by-step explanation:

72

60 x 120

100

= 72

Answer:

Length = 75 ft

Width = 72 feet

Volume = 32,400 ft3

Water is around 242,998 gallons

Step-by-step explanation:

Just convert the yards to feet

25 yards long = 75 ft in length

8 lanes * 3 yards wide = 24 yards = 72 feet wide

And then for the volume, since it's a swimming pool, the formula will be l*w*h, and if we plug in the numbers (75 * 72 * 6 (it's 6 because they said the depth was six and in a pool the depth = height)) and that'll equal 32,400 ft to the third power

For the water, we just have to multiply the volume by 7.5 gallons by converting 7.5 gallons to feet, and then multiplying that by the volume, and then converting that to feet, and the final answer is about 242,998 gallons

Answer:

Length; 75 ft  

Width; 72 feet  

Volume; 32,400  

Water is around 243k gallons

Step-by-step explanation: