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BartSMP [9]
3 years ago
14

Help please with question 5-8, show the solution

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

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3х – 6+1 = - 2x – 5+5х​
marysya [2.9K]

Answer:0=12

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

3x-7=3x-5

Combine like terms:

3x-3x=7+5

0=12

4 0
3 years ago
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Evaluate the following logarithm Log 62,770
Cerrena [4.2K]

Answer:

The answer is 4.797752129

8 0
2 years ago
Please help me i dont wanna fail *Wispers: And, I wont be abel to play fortnite*
Alik [6]

40% off means you are paying 60% of the original price ( 100% - 40% = 60%


Multiply the price of the coat by 60%:

65.00 x 0.60 = 39.00 ( sale price)

Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:

39.00 x 1.05 = 40.95


The final price is $40.95

3 0
3 years ago
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Cos (pi/2 -x) = sin x is this true or false?
Ksenya-84 [330]

The above statement is true meaning cos(π/₂-x)=sin(x)

Step-by-step explanation:

We know that sine and cosine function are mutual cofunctions.

Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)

This can be verified mathematically by assuming “x” as 30°

Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)

Similarly Sin 30°= 0.5 (from trigonometric table values)

This can be proved through using the formula

Cos(A-B)= Cos A.Cos B + Sin A.Sin B

Here A=90° and b=x°

Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)

Cos 90°.cos x+ sin 90.sin x

0+sinx= sinx

Hence it is proved that cos(π/₂-x)=sin(x)

 

7 0
3 years ago
URGENT!!! What happens to the graph of y=−x6−6x5+50x3+45x2−108x−108 as x heads toward ∞ and −∞?
mr Goodwill [35]

Using limits, the correct option regarding the end behavior of the function is given by:

A. as x→∞, y→−∞ as x→−∞, y→−∞.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior is found calculating the limit of f(x) as x goes to infinity.

For this problem, the equation is given by:

f(x) = -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108

Since x goes to infinity, we consider only the term with the highest exponent, hence the limits are given as follows:

\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow -\infty} -x^6 = -(-\infty)^6 = -\infty

\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow \infty} -x^6 = -(\infty)^6 = -\infty

Hence the correct option is:

A. as x→∞, y→−∞ as x→−∞, y→−∞.

More can be learned about limits and end behavior at brainly.com/question/22026723

#SPJ1

3 0
1 year ago
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