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3 years ago

I need help please?!!

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Answer:

20 they are 20 hope this helps!! GOOD Luck on ur quiz or test!

Step-by-step explanation:

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A hemisphere has an area of 256 pi cm^2. What is its volume?

Amanda [17]

$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
\\\\\\
\textit{a hemisphere is half that}\\\\
A=\cfrac{4\pi r^2}{2}\implies A=2\pi r^2
\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
\\\\
-----------------------------\\\\$

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad r=radius
\\\\\\
\textit{a hemisphere is half that}\\\\
V=\cfrac{\frac{4}{3}\pi r^3}{2}\implies V=\cfrac{\frac{4\pi r^3}{3}}{\frac{2}{1}}\implies V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}
\\\\\\
V=\cfrac{2\pi r^3}{3}
\\\\\\
\textit{now, we know the radius is }8\sqrt{2}\implies V=\cfrac{2\pi (8\sqrt{2})^3}{3}
\\\\\\
V=\cfrac{2\pi (8^3\sqrt{2^3})}{3}\implies V=\cfrac{2\pi \cdot 512\cdot 2\sqrt{2}}{3}
\\\\\\
\boxed{V=\cfrac{2048\pi \sqrt{2}}{3}}$

7 0

4 years ago

choose all properties that were used to simplify the following problem: step 1 2/7 • 53 • 7/2 step 2 53 • 2/7 • 7/2step 3 53 • 1

den301095 [7]

Step 2: commutative property of multiplication
Step 3: multiplicative inverse
Step 4: multiplicative identity

5 0

4 years ago

Read 2 more answers

-3(b-7) pleaseeeeee help mee

kupik [55]

Answer:

-3b - 21

Step-by-step explanation:

You have distribute the -3 to both b and 7. So, you would have to multiply the -3 to both b and 7.

8 0

3 years ago

Find the inequality represented by the graph

leva [86]

Answer: y<x-1

Step-by-step explanation:

So first we have to find the blue line. y=mx+b is the equation. For slope it is 0--1 which is 1 and 1-0 which is 1 so the slope is just one or x now we need to find the y intercept which is just -1. So y<(is less than)x-1! Hope this helps :)

6 0

3 years ago

A store sells ink jet printers and laser printers. On Monday, it sold a total of 100 printers. The store earns $40 profit for ea

andrew-mc [135]

Answer:

The store sold 20 more ink jet printers than laser printers.

Step-by-step explanation:

Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:

x+y=100, where:

x is the number of ink jet printers sold

y is the number of laser printers sold

Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:

40x+55y=4,600

Now, you have two equations:

x+y=100 (1)

40x+55y=4,600 (2)

You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):

x=100-y (3)

Then, you have to replace (3) in (2) and solve for y:

40(100-y)+55y=4,600

4000-40y+55y=4,600

15y=600

y=600/15

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=100-40

x=60

Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:

60-40=20

According to this, the answer is that the store sold 20 more ink jet printers than laser printers.

7 0

3 years ago