Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
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Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
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Side note: Both answers are approximate because pi = 22/7 is approximate.
I suppose you thought the following:
A) f(x) = 100^(x-5) - 1
B) f(x) = 3^(x-4) - 2
C) f(x) = 7^(x-1) + 1
D) f(x) = 8^(x+1) - 3
In that case the correct answers are A), B) and D)
Good luck!!!
Hello Kendell. That's simple. All you have to do first is combine like terms, that is of 6x and 7x, thus equalling 13x.
I will try to some of the different types of the problems presented and then leave the rest for you to do. Just remember that if you know how to do one of them, then the others should be of no problem to you.
5x + 8 = 23To solve for x, we need to make sure that it is isolated (or by itself). So we can subtract 8 from both sides of the equation (the opposite operation of addition is subtraction).
<em>5x + 8 - 8 = 23 - 8
</em><em /><em>5x = 15
</em><em />Now divide both sides by 5 (the opposite operation of multiplication is division).
<em>5x / 5 = 15 / 5
</em>
x = 3 Another one I will do is

Just like the previous problem that I have done, you need to add 4 to both sides because addition is the opposite operation of subtraction.
<em>(s / 3) - 4 + 4 = 2 + 4</em>
<em>(s / 3) = 6</em>
<em />Since s is being divided by 3, we need to multiply both sides by 3 because the opposite of division is multiplication.
<em>(s / 3) x 3 = 6 x 3
</em><em>s = 18
</em>