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VikaD [51]
3 years ago
5

A 25-foot pole is supported by a 40-ft. guy wire that is anchored to the ground a certain distance away from the pole. What angl

e does the guy wire make with the ground?
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0
So you would use SOH CAH TOA and the inverse of whatever we will use to solve this problem. so we have two measurments 40ft and 25ft. so we will use the inverse of SOH which is sin. so Sin^-1(25/40)=38 degrees is your answer.
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Step-by-step explanation:

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2 years ago
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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

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Jan has a 12 ounce milkshake. Four ounces in the milkshakes are vanilla, and the rest is chocolate. What equivalent fractions th
Thepotemich [5.8K]

Answer:

Vanilla milkshake = 1/3 and Chocolate milkshake = 2/3

Step-by-step explanation:

Given data:

Total ounce of milkshake = 12 ounce

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Representing as fractions

<em>Vanilla milkshake = </em>4/12 <em>(Reducing to lowest terms that is diving numerator and denominator by common factor in this case 4)</em>

Vanilla milkshake = 1/3

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Chocolate milkshake = 2/3

<em />

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3 years ago
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