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Harman [31]
3 years ago
11

A circle has an area of 45 square meters. What is the area of a sector with an arc measure of 70°?

Mathematics
1 answer:
Step2247 [10]3 years ago
3 0

Answer:

THe area of the arc is 8.75 m²

Step-by-step explanation:

In order to calculate the are of the sector we need to know the radius of the circle. For that we can use the formula for the area of the circle, which is shown below:

area circle = pi*r²

Applying the data from the problem, we have:

45 = pi*r²

pi*r² = 45

r² = 45/pi

r = sqrt(45/pi) = 3.7846 m

Therefore the area of the arc is:

arc's area = angle*pi*r²/360

arc's area = 70*pi*(45/pi)/360 = 70*45/360 = 8.75 m²

THe area of the arc is 8.75 m²

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2. Four less than six times a number is 32. Write and solve an equation.
zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0
2 years ago
If x is equal to 2 minus root 3 find the value of x minus one upon X whole cube
Kamila [148]
"2 minus root 3"  =>  2 - sqrt(3)

x does not appear here.  That could cause a problem.  

Unsure of what you mean by "x minus one upon X whole cube."  Would you please go back to the original question and ensure that you have copied it down precisely.  Without "x" in your equation, there's nothing to solve for.


8 0
3 years ago
Is 2×2×5×5×7×7 a square number ? explain your answer.
givi [52]
Yes because you end up with 4,900 which is 70x70
8 0
3 years ago
Please help ASAP! need help with my math
sergey [27]

The answer to your question is A

6 0
3 years ago
PLEASE HELP 100 POINTS<br><br> whats 2+2
kaheart [24]

Answer:

4??

Step-by-step explanation:

Although, philosophers would love to give you a different answer (like 5)

7 0
3 years ago
Read 2 more answers
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