All you need is in the photo <br>please help

Hᴇʟʟᴏ Bʀᴀɪɴʟɪᴀɴs ¡!

Mashutka [201]

Answer:

volume: 49280 cm³ and curved S.A = 5826.64 cm²

Explanation:

height of smaller cone: h₂
radius of smaller cone: 7
height of bigger cone: 45 + h₂
radius of bigger cone: 28

using similarities:

$\sf \frac{45 + h2}{28} = \frac{h2}{7}$

$\sf 315 + 7h2 = 28h2$

$\sf 315 = 28h2-7h2$

$\sf 315 = 21h2$

$\sf 15 = h2$

total height of the cone: 45 + 15 = 60 cm

solve for volume:

$\sf volume \ of \ cone \ = \frac{1}{3} \pi r^2 h$

$\sf volume \ of \ cone \ = \frac{1}{3} \pi (28)^2 (60)$

$\sf volume \ of \ cone \ = 15680\ *\frac{22}{7}$

$\sf volume \ of \ cone \ = 49280 \ cm^3$

First find the slant height using Pythagoras theorem -

$\sf l^2 = r^2 + h^2$

$\sf l =\sqrt{ r^2 + h^2}$

$\sf l =\sqrt{ (28)^2 + (60)^2}$

$\sf l =66.212 \ cm$

solve for curved surface area:

$\sf curved \ surface \ area = \pi rl$

$\sf curved \ surface \ area = \pi (28)(66.2)$

$\sf curved \ surface \ area =5826.64 \ cm^2$

4 0

2 years ago

Helppppppppppppp!!!!!!

n200080 [17]

Question 1:

For this case, let the variable "x" be the number of girls in the classroom. Let the variable "y" be the number of boys in the classroom.

We propose the equations:

$x + y = 22\\x = y + 12$

We substitute the second equation in the first:

$y + 12 + y = 22\\2y = 22-12\\2y = 10\\y = 5$

So, in the classroom there are 5 boys.

$x = 5 + 12\\x = 17$

So, there are 17 girls.

Answer:

5 guys

17 girls

Question 2:

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

$x = 2y\\x + y = 36$

We substitute the first equation in the second:

$2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12$

Looking for the value of x:

$x = 2 (12)\\x = 24$

Answer:

So, Jaime you have $ 24 and Kristen you have $ 12.

Question 3:

For this case we have to:

Let "x" be the variable that represents the number of dogs in the Pet Stop.

Let "y" be the variable that represents the number of cats in the Pet Stop.

We have to:

$x + y = 15\\4x = y$

We substitute the second equation in the first:

$x + 4x = 15\\5x = 15\\x = \frac {15} {5}\\x = 3$

We look for the value of y:

$y = 4x\\y = 4 (3)\\y = 12$

So, there are 12 cats and 3 dogs.

Answer:

12 cats

3 dogs

8 0

2 years ago

Read 2 more answers

What is the axis of symmetry for the parabola created by the equation below?

Alexus [3.1K]

Answer:

x= 1/3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

help pls Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each t

RoseWind [281]

Answer:

Cost of each ticket bought by Peter = $8 for each ticket

Step-by-step explanation:

Given:

Number of ticket bought by Peter = 9 tickets

Amount paid by Peter for tickets = $72

Find:

Cost of each ticket bought by Peter

Computation:

Cost of each ticket bought by Peter = Amount paid by Peter for tickets / Number of ticket bought by Peter

Cost of each ticket bought by Peter = 72 / 9

Cost of each ticket bought by Peter = $8 for each ticket

4 0

2 years ago

For f(x)=2x+1 and g(x)=x^2-7 find (f•g)(x)

skad [1K]

(f•g)(x) = (2x+1) (<span>x^2-7)
</span>(f•g)(x) = 2x^3 + x^2- 14x - 7

............................................

8 0

3 years ago

All you need is in the photo please help​

All you need is in the photo please help