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Anna11 [10]
3 years ago
8

A side of a cube measures 4 centimeters and a side of a smaller cube measures 2 centimeters. the volume of the larger cube is ho

w many times the volume of the smaller cube
a: 6
b: 2
c: 8
d: 4
Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Given the sides of cubes in the ratio a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 2 : 4 = 1 : 2 ( smaller : larger ) , so

ratio of volumes = 1³ : 2³ = 1 : 8

Then the volume of the larger cube is 8 times the volume of the smaller.

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Step-by-step explanation:

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NO LINKS!!!
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Refer to this previous solution set

brainly.com/question/26114608

===========================================================

Problem 4

Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.

This leads to the factors x and x-20 and the equation y = ax(x-20)

We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.

Let's solve for 'a'.

y = ax(x-20)\\\\28 = a*10(10-20)\\\\28 = -100a\\\\a = -\frac{28}{100}\\\\a = -\frac{7}{25}\\\\

This then leads us to:

y = ax(x-20)\\\\y = -\frac{7}{25}x(x-20)\\\\y = -\frac{7}{25}x*x-\frac{7}{25}x*(-20)\\\\y = -\frac{7}{25}x^2+\frac{28}{5}x\\\\

The equation is in the form y = ax^2+bx+c with a = -\frac{7}{25}, \ b = \frac{28}{5}, \ c = 0

The graph is below in blue.

===========================================================

Problem 5

The same set up applies as before.

This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation y = ax(x-100)

We'll use the vertex point (50,12) to find 'a'.

y = ax(x-100)\\\\12 = a*50(50-100)\\\\12 = -2500a\\\\a = -\frac{12}{2500}\\\\a = -\frac{3}{625}\\\\

Then we can find the standard form

y = ax(x-100)\\\\y = -\frac{3}{625}x(x-100)\\\\y = -\frac{3}{625}x*x-\frac{3}{625}x*(-100)\\\\y = -\frac{3}{625}x^2+\frac{12}{25}x\\\\

The graph is below in red.

4 0
2 years ago
A circle has a radius of 119.3 millimeters. What is the circumference of this circle? Use 3.14 for pi. Round your final answer t
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Circumference= (pi) (diameter) C=(3.14)(119.3 + 119.3) C=(3.14)(238.6) C=749.2 Hope this helped! :)
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3 years ago
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Are children who use sign language allowed to talk with their mouth full?
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Answer:

WHy? but yes they theoretically can

Step-by-step explanation:

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