Answer: 47.1
Step-by-step explanation:
1/3πr^2h
=1/3×π×32×5
=15π
= 47.123889803847 feet3
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
<h2>x = 60°, y = 50°</h2>
Step-by-step explanation:
We know: the angles measures in a triangle add up to 180°.
<em>(look at the picture)</em>
z + 50 + 60 = 180
z + 110 = 180 <em>subtract 110 from both sides</em>
z = 70°
x + 50 + 70 = 180
x + 120 = 180 <em>subtract 120 from both sides</em>
x = 60°
Angles x, y and z are on one side of a straight line. Therefore they add to 180°.
x + y + z = 180
60 + y + 70 = 180
y + 130 = 180 <em>subtract 130 from both sides</em>
y = 50°
To solve this problem you must apply the proccedure shown below:
1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:

Where
is the larger base,
is the smaller base and
is the height.
2. The dimensions are:

3. Substitute values:

The answer is: 
I think the answer is -48781383121676240