Answer:
For question 1 it's 12/3
For question 2 it's D. 6
For question 3 it's A. 12
For question 4 it's C. 64
For question 5 it's D. 1 and 17/18
For question 6 it's B. 16
Step-by-step explanation:
All answers are correct, trust me. I put my time into this. I hope you get a good grade and you have an amazing day! ❤
Answer:
Sure! Do you want me to explain in parts or just explain the answers for each one below? Either way! :)
Step-by-step explanation:
Answer:
true lol
Step-by-step explanation:
Answer:35
Simplifying
5(x + 20) = 7x + 30
Reorder the terms:
5(20 + x) = 7x + 30
(20 * 5 + x * 5) = 7x + 30
(100 + 5x) = 7x + 30
Reorder the terms:
100 + 5x = 30 + 7x
Solving
100 + 5x = 30 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
100 + 5x + -7x = 30 + 7x + -7x
Combine like terms: 5x + -7x = -2x
100 + -2x = 30 + 7x + -7x
Combine like terms: 7x + -7x = 0
100 + -2x = 30 + 0
100 + -2x = 30
Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100
Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100
Combine like terms: 30 + -100 = -70
-2x = -70
Divide each side by '-2'.
x = 35
Simplifying
x = 35
Hope it helps. Please tell me if im correct
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
