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dybincka [34]
2 years ago
6

A circular piece of wood with a diameter of 5 ft is shown below. A 2 ft square is

Mathematics
1 answer:
Pani-rosa [81]2 years ago
4 0

Answer:

16 ft²

Step-by-step explanation:

Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.

Area of remaining body = area of full body - area of removed body.

Area = πd²/4

Area of remaining body = (π * 5²)/4 - (π * 2²)/4

Area of remaining body = 19.64 - 3.142

Area of remaining body = 16.49 ft²

Therefore, the remaining area is then calculated into 16 ft²

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How to expand and simplify this equation 7(2a+3)+3(4a-2).
Pavel [41]
Ok, so first we distribute, you multiply the seven into everything in the parentheses next to it. So far we have, 14a+21+3(4a-2). You distribute the three into the parentheses to get, 14a+21+12a-6. You combine the like terms to get, 26a-15. You cannot simplify it any further so the answer is 26a-15.
8 0
3 years ago
Read 2 more answers
Which of the following is a factor of x2 − 21x + 110?
ludmilkaskok [199]
X² - 21x + 110
first you break it up into two parenthesis & since x is squared you need two x's 
since 110 is positive and 21 is negitive, both of your signs need to be negitive
(x - ?)(x - ?)
then you need to think! what are the factors of 110?
Which of these factors add up to 21? those factors go in the parenthesis

Does this Help? Let me know if you need anything!
8 0
3 years ago
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If f(3)=2x^3 -2 , what is the value of f(2)
iris [78.8K]

I'm not sure about this but will give it a try:

Let f(n) = 2xⁿ - 2

Then f(3) = 2x³ - 2

So, f(2) = 2x² - 2

5 0
3 years ago
Per
Levart [38]

Answer:

1. 5200+5200=10400

2. 10400-361=10039

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8 0
3 years ago
In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find the
meriva

Answer:

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Step-by-step explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22

4 0
2 years ago
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