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2 years ago

What is the value of θ for the acute angle in a right triangle?

Mathematics

2 answers:

Degger [83]2 years ago

8 0

Answer:

The correct answer would be 17

I took the test and it was correct

Sorry its late hope it helps!

Murrr4er [49]2 years ago

3 0

Answer:

64 degrees

Step-by-step explanation:

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2 years ago

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3 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:

Binomial Series

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

Factorial 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:

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

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

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

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

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

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1 year ago

Find the equation of the tangent line to the curve y=2sinx

Mrrafil [7]

Hello
f(x) = 2sin(x)
f(π/6) = 1
f'(x) 2cos(x)
f'(π/6) = 2×co(π/6) = 2 × root(3)×0.5 =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x)) in the form y=mx+b
m = root(3) and b = 1 - π/6(root(x))

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Each friend will have 4 cookies.

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