<u>Answer:</u>
a = 8.1
<u>Step-by-step explanation:</u>
Use the cosine rule:
Substituting the values:
⇒ 
⇒ 
4^-5=1/1024 or 2/2048 or 3/3072
1.
Calculate the sum
5x - 10 + 7 = 65 - 20x + 32
Move terms
5x - 3 = 97 - 20x
Collect the like terms and calculate
5x + 20x = 97 +3
Divide both sides by 25
25x = 100
X= 4 ANSWER
I skipped some steps because it would be too long :/
2.
Multiply parenthesis by 8
20x>8(4x - 5) -20
Calculate
20x>32x - 40 - 20
Move variable to the left
20x>32x-60
Collect like terms
20x - 32x > -60
Divide both sides by -12
-12x>-60
X<5 ANSWER
The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
Median is the middle number
60, 60, 65, 70, 70, 85, 90
70 is your median
mode is the number(s) that show up the most
60 and 70 is your mode, since they show up twice (one more than the others)
Range is largest number minus the smallest
90 - 60 = 30, 30 is your range
Mean is all the numbers added together divided by the number of numbers there are
60 + 90 + 65 + 70 + 70 + 85 + 60 = 500
500/7 = 71.42
Mean = 71.42
hope this helps
