Answer:
2 days late
Step-by-step explanation:
Answer:
See below ↓↓↓
Step-by-step explanation:
<u>Subquestion #1</u>
- These angles form a linear pair
- They are supplementary, and add up to 180°
- 2x + 48 = 180
- 2x = 132
- <u>x = 66</u>
<u></u>
<u>Subquestion #2</u>
- These angles are complementary, and add up to 90°
- 35 + 4x + 7 = 90
- 4x + 42 = 90
- 4x = 48
- <u>x = 12</u>
<u></u>
<u>Subquestion #3</u>
- As in #1, they are a linear pair, and are supplementary
- 3x + 54 = 180
- 3x = 126
- <u>x = 42</u>
If the width is 28 inches, then divide that by 4 and you get 7. You multiply that by 5 to get the length. That would be 35. Just to check, you know that the width 28 and length 35 are in ratio 4:5 if you divide by 7. The perimeter would be 2(35+28)=63*2=126. So the perimeter is 126. The area would be 35*28 which is 980. To sum up, the answers are as follows.
Length: 35 in
Perimeter: 126 in
Area: 980 inches squared.
I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs
are:
cos(x)tan(x) – ½ = 0
→ π/6 and 5π/6
cos(π/6)tan(π/6) – ½ = 0
cos(5π/6)tan(5π/6) – ½ = 0
sec(x)cot(x) + 2 =
0 → 7π/6 and 11π/6
sec(7π/6)cot(7π/6) + 2 = 0
sec(11π/6)cot(11π/6) + 2 = 0
sin(x)cot(x) +
1/sqrt2 = 0 → 3π/4 and 5π/4
sin(3π/4)cot(3π/4) + 1/sqrt2 = 0
sin(5π/4)cot(5π/4) + 1/sqrt2 = 0
csc(x)tan(x) – 2 = 0 → π/3 and 5π/3
csc(π/3)tan(π/3) – 2 = 0
csc(5π/3)tan(5π/3) – 2 = 0
