Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Answer:
x = 9/2
Step-by-step explanation:
2(6-x)=3
Distribute
2*6 -2*x = 3
12 -2x =3
Subtract 12 from each side
12-12-2x = 3-12
-2x= -9
Divide each side by -2
-2x/-2 = -9/-2
x = 9/2
When you raise a negative integer (in this case -1) to an even integer (30), the end result will be positive (1), but when you raise it to an odd integer (31), the end result will be negative (-1). The sign of the product fluctuates between positive and negative depending on the type of integer it’s raised to.
Answer:

Step-by-step explanation:

<u>Multiplying both sides by 2</u>


<u>Subtracting 36 to both sides</u>


<u>Dividing both sides by 4</u>

OR

Wahab has to donate at least 50 books to reach his goal
<h3><u>Solution:</u></h3>
Given that, Wahab wants to donate at least $6000 in books and pairs of shoes.
Let "B' represent the number of books
Let "S" represent the number of pairs of shoes that Wahab must donate to achieve his goal.
20B+50S ≥ 6000 ⇒ this is the inequality for total donation.
Wahab donates 100 pairs of shoes.
Now, as he donated 100 pairs of shoes, S = 100, so substitute this in inequality.
20B + 50(100) ≥ 6000
20B + 5000 ≥ 6000
20B ≥ 6000 – 5000
20B ≥ 1000
B ≥ 50
Hence, wahab has to donate at least 50 books to reach his goal.