Answer:
1. 1072.6
2. 753.6
3. 194.2
4. 59.5
5. 4848.3
6. 1818.3
Step-by-step explanation:
We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)
1. tan(40)=900/x
x=900/tan(40)
x=1072.6
2. tan(37)=x/1000
1000tan(37)=x
753.6=x
3. sin(18)=60/x
x=60/sin(18)
x=194.2
4. sin(48)=x/80
80sin(48)=x
59.5=x
5. tan(22)=x/12000
12000tan(22)=x
4848.3=x
6. tan(33)=x/2800
2800tan(33)=x
1818.3=x
Answer:
<u>A</u>
Step-by-step explanation:
<u>Given</u>
<u>Solving</u>
- Take the square root on both sides
- √x² = √9/4
- ⇒ x = 3/2
- <u>Option A is the correct option.</u>
Answer:−3K−395,−374,−198,−187
Step-by-step explanation:
Remove parentheses.
1−3K−396,0−374,0−198,0−187
Simplify 1-3K-3961−3K−396 to -3K-395−3K−395.
−3K−395,0−374,0−198,0−187
Simplify 0-3740−374 to -374−374.
−3K−395,−374,0−198,0−187
Simplify 0-1980−198 to -198−198.
−3K−395,−374,−198,0−187
Simplify 0-1870−187 to -187−187.
−3K−395,−374,−198,−187
Answer: What is a factor?
A factor is a a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
Step-by-step explanation: Why can’t certain expressions be factored?
Because there are no common factors other than 1 the constants cannot be factored. And, because there is no x in the second term (10), we cannot factor an x out of the two terms.
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55