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2 years ago

A cone and a cylinder have the same base and height, as shown below.

Mathematics

1 answer:

marshall27 [118]2 years ago

6 0

The statement that apply is that the volume of the cone is One-third the volume of the cylinder

<h3>How to find the volume of a cone and cylinder?</h3>

volume of a cone = 1 / 3 πr²h

where

r = radius
h = height of the cone

Volume of a cylinder = πr²h

where

r = radius
h = height

The cone and the cylinder has the same base and height. Therefore, the radius and height are the same .

volume of the cylinder = 84π

Therefore, the volume of the cone is One-third the volume of the cylinder.

learn more on volume here: brainly.com/question/16031618

#SPJ1

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I need to simplify this<br> (3x^2+2xy+4y^2) + (6x^2-5xy+3y^2) + (9y^2-25y^2)

Andreyy89

(3x² + 2xy + 4y²) + (6x² - 5xy + 3y²) + (9y² - 25y²)

Get rid of the parenthesis :)

3x² + 2xy + 4y² + 6x² - 5xy + 3y² + 9y² - 25y²

Add like terms.

(3x² + 6x²) + (2xy - 5xy) + (4y² + 3y² + 9y² - 25y²)

Simplify.

(9x²) + (-3xy) + (-11y²)

Get rid of the parenthesis.

9x² - 3xy - 11y²

~Hope I helped!~

8 0

3 years ago

A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant

SpyIntel [72]

Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.

Initially, the dog is 5 feet underground.

Each minute, the dog goes 2 more feet underground.

Hence, the underground height of the dog after t seconds is given by:

$h(t) = 5 + 2t$

The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:

$h(t) = 5 + 2t$

$13 = 5 + 2t$

$2t = 8$

$t = \frac{8}{2}$

$t = 4$

It takes 4 min for the prairie dog to reach 13 feet underground.

A similar problem is given at brainly.com/question/25290003

7 0

2 years ago

Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form

Anestetic [448]

Answer:

Final answer is $x-6y=23$

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

$\frac{1}{6}x+\frac{5}{6}=y$

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-3)=\frac{1}{6}\left(x-5\right)$

$y+3=\frac{1}{6}x-\frac{5}{6}$

$y=\frac{1}{6}x-\frac{5}{6}-3$

$y=\frac{1}{6}x-\frac{23}{6}$

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is $x-6y=23$

6 0

3 years ago

Need help will give Brainly

asambeis [7]

Answer:

x = 323 in

Step-by-step explanation:

Given triangles are similar, so their corresponding sides would be in proportion:

3ft = 3*12 = 36 in

5ft 8 in = 5*12 + 8 = 68 in

14 ft 3 in = 14*12 + 3 = 171 in

$\frac{3 \: ft}{14 \: ft \: 3 \: in} = \frac{5 \: ft \: 8 \: in}{x} \\ \\ \frac{36}{171} = \frac{68}{x} \\ \\ x = \frac{171 \times 68}{36} \\ \\ x = \frac{11628}{36} \\ \\ x = 323 \: in \: \\ \\ x = 26 ft \: 11 in$

4 0

3 years ago

At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost?

4vir4ik [10]

The answer will be $13.72 for 7 bags of popcorn.

to find this answer, you first take 5.88 and divide it by 3 to find out how much one bag costs.

the answer to 5.88/3 is 1.96, so you multiply 1.96 by 7 to get the answer of how much 7 bags of popcorn will cost.

hope this helps!

4 0

3 years ago

Read 2 more answers