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strojnjashka [21]
3 years ago
14

The basketball shown is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of

the basketball. What is the surface area and the volume of the box. Volume: 4500 pi inches cube
Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

Step-by-step explanation:

Firstly find radius of cube from given volume by formula = 4/3 π r³

Radius of basketball;  V=4/3 π r³

                                      4500π = 4/3 π r³                

By solving we get r= 15 inches

Diameter = 2* radius

So, diameter =2*15 =>30 inches

Surface area of Box= 6 a²                              ∴ a= side/diameter of basket ball

Surface area = 6*30² = 5400 square inches

Volume of box = a*a*a = 30*30*30= 27000 cube inches

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djyliett [7]
Since the water bill costs $35, to split it into 2 equal payments, you would simply just half $35 which is $17.50.
7 0
2 years ago
Solve the inequality and graph the solution<br> 7x ≥ -91
Alex Ar [27]

The solution is x \geq 13.

Solution:

Given inequality:

7 x \geq 91

Divide by 7 on both sides.

$\frac{7 x}{7} \geq \frac{91}{7}

x \geq 13

The solution is x \geq 13.

The image of the graph is attached below.

5 0
3 years ago
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

7 0
1 year ago
Graph this following function
Inessa05 [86]

Answer:

Please find attached the graph of the following function;

\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if  & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

8 0
3 years ago
How do you find the slope of the line that goes<br> through the points (-5, 6) and (7,-6)?
strojnjashka [21]

Answer:

Step-by-step explanation:

slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-6-6}{7-[-5]}\\\\=\frac{-12}{7+5}\\\\=\frac{-12}{12}\\\\=-1

5 0
3 years ago
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