Peter has a tire with a diameter of 26 inches. How many inches is the radius of his tire?
1 answer:
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Answer:
Step-by-step explanation:
Perform the multiplication and addition:
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<em>Comment on the squaring</em>
There are several ways you can find the square (x+4)².
- Use your knowledge that (x+a)² = x²+2ax+a².
- Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
- Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)
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* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.
Answer:
Step-by-step explanation:
circumference = 2πr
2πr = 30π inches
Area = πr² = π*15*15 = 225π square inches