Good morning,
Answer:
<h2>r = 4 cm</h2>
Step-by-step explanation:
V = h × (base area)
= 12 × (π×r²)
then 192π = 12π×r²
Then 192 = 12×r²
Then r² = 192÷12 = 16
Then r = √16 = 4.
:)
Answer:
Cups of soup to be prepared = 320
Step-by-step explanation:
Using equivalent ratios
2:5 = X:800
X = (800 x 2)/5 = 320 cups
Cups of soup to be prepared = 320
Answer:
Option C is correct.
Step-by-step explanation:
We need to multiply the following terms using vertical multiplication method
3x^2-5x+1
x x^2+2x+4
The vertical multiplication is shown in the figure attached.
The result is: 3x^4+x^3+3x^2-18x+4
So, Option C is correct.
Hey there :)
All these shapes are known as a rhombus.
The are formula of a rhombus is
1st ) The area is given = 48 in²
The diagonals are 1) 8 in and 8 in = 16 in , 2) x in and x in = 2x in
Apply the formula to find x
48 = 16x
Divide by 16 on either side to isolate x
3 = x Check:
Area =
=
= 48 in²
2nd ) Area is given = 48 ft²
The diagonals are 1) 4 + 4 = 8 ft , 2) x
Apply the formula to find x
48 =
48 = 4x
Divide by 4 on either side
12 = x Check:
Area =
=
= 48 ft²
3rd ) Given diagonals are 19 ft and 38 ft
Area =
=
= 361 ft²