Answer:
18,432 pi cubic ft
Step-by-step explanation:
This problem can be solved using formula to find circumference and volume of sphere
for any sphere with radius r
circumference of sphere is 2* pi * r
volume of sphere is found by using formula 4/3*(pi*r^2)
Given circumference of sphere is 48 pi ft
therefore
2* pi * r = 48 pi ft
r = 48 pi ft/ 2* pi = 24 ft
substituting the value of r is formula of volume of sphere we have
volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft
Answer:
D) y = 2x + 4
Step-by-step explanation:
plug the slope and the x-and-y coordinates into the slope-intercept form of a line to get the y-intercept:
y = mx + b
2 = 2(-1) + b
2 = -2 + b
4 = b
y = 2x + 4
The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31
Given:
<em>cost of two books</em> = $4.99 + $12.99
= $17.98
<em>Amount paid for books</em> = $17.98 - 10% of $17.98
= 17.98 - 0.1 × 17.98
= 17.98 - 1.798
= $16.182
<em>Cost of notebooks = quantity × price</em>
= 2 × $2.88
= $5.76
<em>cost of composition books = quantity × price</em>
= 3 × $0.79
= $2.37
<em>cost of pencil packs</em> = quantity × price
= 2 × $1.89
= $3.78
Total cost = $5.76 + $2.37 + $3.78
= $11.91
<em>Amount paid for school supplies </em>= $11.91 - 15% of $11.91
= 11.91 - 0.15 × 11.91
= 11.91 - 1.7865
= $10.1235
Therefore,
total cost of all items Gina bought = $16.182 + $10.1235
= $26.3055
Approximately, $26.31
Read more:
brainly.com/question/19535437
Answer:
25
Step-by-step explanation:
I'll explain in detail for those of you that want to know.
You know that since angles B and C are congruent to each other that this triangle is an isosceles triangle. Therefore, sides AB and AC are congruent to each other because that is a property of an isosceles triangle.
To solve for x, place the expressions of sides AB and AC equal to each other and solve for the unknown variable.
4x + 1 = 2x + 23
You should get that x = 11.
Substitute x = 11 into the expression for side BC to solve for the length of that side.
f(11) = 3(11) - 8
f(11) = 25
Thus, length of side BC is 25 units.
Use this way of solving for all your future questions. It's really simple :)
