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VARVARA [1.3K]
2 years ago
12

Please Please Please help

Mathematics
1 answer:
Colt1911 [192]2 years ago
6 0

Answer:

53.1°

Step-by-step explanation:

Look at the right triangle formed. You are given the Hypotenuse and an adjacent side to the angle needed to calculate the measure of the arc.

To find measure of angle use Cosine

Once you find measure of angle (central angle), you'll have the measure of the arc because they are the same.

cos -1 (9/15)  = 53.13

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Find the minimum value if f(x) = xe^x over [-2,0]
SashulF [63]

Given function:

f(x)=xe^x

The minimum value of the function can be found by setting the first derivative of the function to zero.

f^{\prime}(x)=xe^x+e^x\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1)  = 0} \end{gathered}

Solving for x:

\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}

Substituting the value of x into the original function:

\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}

Hence, the minimum value in the given range is (-1, -0.368)

6 0
2 years ago
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=60°, and HF = 60 feet. Find the length of GH to the nearest foot.
AlladinOne [14]

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tan(60) = X/60

X = 60×tan(60)

X = 103.9230484541

X = 104 (3 sf)

6 0
3 years ago
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gavmur [86]

Answer:

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