Answer:
The volume of the solid is 243
Step-by-step explanation:
From the information given:
BY applying sphere coordinates:
0 ≤ x² + y² + z² ≤ 81
0 ≤ ρ² ≤ 81
0 ≤ ρ ≤ 9
The intersection that takes place in the sphere and the cone is:
Thus; the region bounded is: 0 ≤ θ ≤ 2π
This implies that:
ρcosФ = ρsinФ
tanФ = 1
Ф = π/4
Similarly; in the X-Y plane;
z = 0
ρcosФ = 0
cosФ = 0
Ф = π/2
So here;
Thus, volume:
V = 243
Answer:
$80 per T.V.
Step-by-step explanation:
First you want to multiply 25 by 19, the amount of televisions sold with an extended warranty.
Next you want to subtract that amount from the total earnings, this way you can find out the amount he earned in total from selling 19 televisions without their warranty.
After that divide that number by 19 to find out how much each television was worth each.
Answer:
Step-by-step explanation:
a / b * c / d
Multiply numerators and denominators:
ac / bd
Answer:
The length = 120 feet
Step-by-step explanation:
Givens
Let the length = x
Let the width = 3/4 x
Perimeter = 420 feet
Formula
Perimeter = 2*L + 2*w
Solution
2*x + 2(3/4) x = 420
2x + 1.5x = 420
3.5 x = 420
x = 120
Answer:
The least number of bills you could use for any item is using just 5 to pay for the doll.
Step-by-step explanation:
For any of these, you have to break the number down into its largest parts. Take the doll for examples.
$18 = $10 + $8 = $10 + $5 + $3 = $10 + $5 + $1 + $2 = $10 + $5 + $1 + $1 + $1
Once you have only bill amounts, you can count the number and see how many bills you have to use. Repeat this process for each one.