- Question -
Which statement about solving inequalities is true?
- Answer -
A)
Adding the same value to both sides of an inequality does not change the solution set.
- The Wolf -
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:

Substituting figures, we have:
Let's make h subject of the formula.

The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
Step-by-step explanation:
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Let the number be x.
1st number = x
2nd number = x + 2
3rd number = x + 4
x + x + 2 + x + 4 = -9
3x + 6 = -9
3x = -15
x = -5
1st number = x = -5
2nd number = x + 2 = -3
3rd number = x + 4 = -1
Answer: The numbers are -1, -3, and -5
Answer:
4.8%
Step-by-step explanation:
Step 1: divide the numerator by denominator
Step 2: Multiply 100 with the answer.
....................................................................
6/125 = 0.048
0.048 * 100
=4.8%