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Sedbober [7]
3 years ago
7

URGENT! Please and Thanks :)

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
For this case we will define the following:
 A, B: are the values of the triangle angles
 a, b: are the values of the lengths of the sides opposite the angles A, B.
 We then have to use the law of the sine:
 \frac{sinB}{b} = \frac{sinA}{a}
 Clearing the angle B we have:
 sinB = \frac{sinA}{a}*b
 B = arcsin(\frac{sinA}{a}*b)
 Substituting values we have:
 B = arcsin(\frac{sin113}{200}*134)
 B = 38.08
 Answer:
 
the following is true:
 
A. angle B=38.08 degrees 

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Complete the square to solve 4x2 + 24x = 4.
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Answer:

x = - 3 ± \sqrt{10}

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \sqrt{10} ( subtract 3 from both sides )

x = - 3 ± \sqrt{10}

8 0
3 years ago
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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t
larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle \theta, is 1.42. We are asked to find the length of the side opposite angle \theta.

We can represent our given information in an equation as:

\text{tan}(\theta)=1.42

Now, we will use arctan to solve for theta as:

\theta=\text{tan}^{-1}(1.42)

\theta=54.85^{\circ}

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}

20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}

20\cdot 0.81764=\text{Opposite}

\text{Opposite}=20\cdot 0.81764

\text{Opposite}=16.3528

\text{Opposite}=16.4

Therefore, the opposite side to angle theta is 16.4 feet.

5 0
3 years ago
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The map shows the location of the houses of Dan, Joe, Lee, and Roy:
iris [78.8K]
Answer: Joe

Explanation: The community center is in quadrant two by the coordinates. Joe is in the same quadrant.
8 0
3 years ago
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Find the inverse of the function.<br> f-^1(x)= (x – 5)^3 + 1
Cloud [144]

Answer:

Step-by-step explanation:

To find the inverse of function y=f(x), swap variables and then solve for the original variable.

y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5

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3 years ago
Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)​
Mkey [24]
<h2><u>Polynomial Function</u></h2>

<h3>Evaluate the following function: Show all work! h(x)=3x²+2-2x, Find h(-2)</h3>

To determine the answer, substitute the given value to the function and simplify.

  • h(x) = 3x² + 2 - 2x; h(-2)
  • h(-2) = 3(-2)² + 2 - 2(-2)
  • h(-2) = 3(4) + 2 + 4
  • h(-2) = 12 + 2 + 4
  • h(-2) = 14 + 4
  • h(-2) = 18

<u>Answer:</u>

  • <u>18</u> is the answer.

Wxndy~~

8 0
2 years ago
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