Answer:
x=15
Step-by-step explanation:
x+165degrees=180degrees
x=180-165
x=15
Answer:
345 sq. ft
Step-by-step explanation:
You know that the area is the length times the width. Simply plug in values to your equation:
A = l * w
A = 23 * 15
A = 345
The area is 345 square feet.
donuts and cream puffs were 45 & 4 respectively !
<u>Step-by-step explanation:</u>
Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:
Let number of donuts and cream puffs are x & y respectively ! So ,
- twice the number of donuts was only 6 less than 24 times the number of cream puffs
According to this statement equation is :
⇒ 
⇒
................(1)
- 10 times the number of cream puffs was only 5 less than the number of donuts
According to this statement equation is :
⇒ 
⇒
................(2)
Equation (1) & (2) :
⇒ 
⇒ 
⇒ 
Putting
in
:
⇒ 
⇒ 
Therefore , donuts and cream puffs were 45 & 4 respectively !
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h