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3 years ago

Select THREE expressions equivalent to –81x + 27.

Mathematics

1 answer:

Ivahew [28]3 years ago

5 0

Answer:

A, C, and D

Step-by-step explanation:

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A TV is listed for 35% off. If the original price was $550, what is the sale price?

almond37 [142]

Answer:

357.50$

Step-by-step explanation:

550 x 35% =192.50$

550 - 192.50 = 357.50$

7 0

3 years ago

Read 2 more answers

2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.

Savatey [412]

Answer: $\frac{1}{6}$ or $1:6$

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- $V_1$ the volume of one of this cylinders and $V_2$ the volume of the other one.

- $r_1$ the radius of the first one and $r_2$ the radius of the other cylinder.

- $h_1$ the height of one of them and $h_2$ the height of the other cylinder.

Then:

$V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2$

Therefore, you know this:

$\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}$

Simplifying, you get:

$\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}$

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

$\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}$

Evaluating, you get:

$\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}$

4 0

4 years ago

Find the volume of a right circular cone that has a height of 18.9 in and a base with a

Dmitriy789 [7]

Answer:

The volume of the cone is:

112.6 cubic inches.

Step-by-step explanation:

You should know that the volume of a straight circular cone is equal to:

Cone volume = (1/3) PI * r ^ 2 * h

Where:

r = radius.

h = height.

Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:

Circumference = PI * Diameter.

When clearing you get:

Diameter = circumference / PI

By replacing the data you get:

Diameter = 15 inches / PI
Diameter = 4.77 inches.

Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula: