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CaHeK987 [17]
3 years ago
11

PLEASE HELP ME THANK YOU. ALSO PLEASE INCLUDE EXPLANATION

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

Given

the lengths of the 3 sides of a triangle

Find

the angle opposite the longest side

Solution

Strategy: make use of the Law of Cosines, which relates an angle and the three sides of a triangle.

... a² = b² + c² -2bc·cos(A)

... cos(A) = (b² + c² - a²)/(2bc) . . . . . . . solve for cos(A)

... A = arccos((b² + c² - a²)/(2bc))

Fill in the given values and evaluate.

... A = arccos((55² + 50² - 90²)/(2·55·50)) = arccos(-2575/5500)

... A ≈ 117.9°

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Simplify: <br><br> 6x + 2 - 1 - 4 - 3 - 2x + 2
IrinaK [193]

Answer:

4x - 4

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variable as well as the same amount of variables:

6x - 2x + 2 - 1 - 4 - 3 + 2

(6x - 2x) = 4x

(2 - 1 - 4 - 3 + 2) = (2 + 2) + (-1 - 4 - 3) = (4) + (-8) = -4

4x - 4 is your answer.

~

3 0
3 years ago
Read 2 more answers
Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)
horrorfan [7]

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

5 0
2 years ago
-7w+8 (w+1)=w-7<br> Please show work
kvv77 [185]
Hello there.^••^

−7w+8(w+1)=w−7
w+8=w−7
w+8−w=w−7−w8=−7
8−8=−7−80=−15
No solutions.
6 0
3 years ago
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The admission at the movies is $5 for children and $10 for adults. The total amount collected was
sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

                                    x = 400

Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

4 0
2 years ago
Evaluate: 63 + 7 X 4​
finlep [7]

Answer:

91

Step-by-step explanation:

Multiplication first, so 7x4 = 28

28+63=91

3 0
3 years ago
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