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kifflom [539]
2 years ago
11

A container is in a shape of a right circular cylinder standing on its base. If 100 cubic centimeters of water is poured into th

e container the height of the water is 8 centimeters. What is the height of the water if only 75 cubic centimeters is poured into the container?
A) 2.1 cm
B) 3.8 cm
C) 6.0 cm
D) 6.9 cm
E) 10.7 cm
And why???
Mathematics
1 answer:
Nina [5.8K]2 years ago
8 0

Answer:

Step-by-step explanation:

The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.

¾ of 8 cm is 6 cm.

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Answer:

not enough info

Step-by-step explanation:

f times x equals -3 there could be many answers like f is 1 x is -3 or f is -3 x is 1 and more

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Jamie wants at least 40 roses to bloom in her garden. She noticed that 12 roses have already bloomed. Which inequality could be
sergij07 [2.7K]

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less than or equal to

Step-by-step explanation:

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3 years ago
The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?
Jet001 [13]

Answer:

The roots are x = (\frac{3}{2}, -2), which is given by option C.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question, we have that:

2x^2 + x - 6 = 0

Which is a quadratic equation with a = 2, b = 1, c = -6. So

\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49

x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}

x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2

So the roots are x = (\frac{3}{2}, -2), which is given by option C.

3 0
3 years ago
P and Q are similar hexagonal pyramids. The scale factor of P to Q is 6 : 1. If the volume of Q is 8 cubic yards, find the volum
tatiyna

Answer:

The volume of P is <u>1728 cubic yards.</u>

<u></u>

Step-by-step explanation:

For similar shapes, the ratio of volumes are defined as:

\frac{V_{1} }{V_{2}} = (\frac{h_{1} }{h_{2}}) ^{3}

where h1 and h2 are the heights of each pyramid respectively.

We know that the scale factor of P to Q is 6:1 i.e. the ratio of heights is also 6:1. And the volume of Q is given as 8 cubic yards. so, using the relation defined above we can write:

\frac{V_{P} }{V_{Q}} = (\frac{h_{P} }{h_{Q}}) ^{3}

\frac{V_{P} }{8} = (\frac{6}{1} )^{3}

Vp = 6³ * 8

     = 216 * 8

Vp = 1728 cubic yards

The volume of P is <u>1728 cubic yards.</u>

8 0
2 years ago
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