Answer with Step-by-step explanation:
a.

Taking both sides log

Using identity:

Using identity:


b.
We know that

Using identity

c.

Substitute the values then we get

By using 
Hence, 
Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,

Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,

Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
10^1 = .2
10^2 = 2.0
10^3 = 20.0
So, the answer is 3.
Answer:
699(0.90)(1.07)
Step-by-step explanation:
Given that:
Regular cost of couch = $699
Onsale percentage = 10%
Sales tax in purchase = 7%
Final price of couch :
New price at Selling percentage :
Regular price * (discount) * (sales tax percentage)
Regular price * (100% - 10%) * (100 + 7%)
699 * (1 - 0.1) * (1 + 0.07)
699 * 0.90 * 1.07
699(0.90)(1.07)
5. -6a-48
6. 36x+4
7. 30n+40
8. 1.8m+2
Yess