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:
the equation representing total amount of blood donated is
.
Step-by-step explanation:
Total number of volunteers = 32
number of volunteers couldn't donate blood =
.
So Number of volunteers who donated blood can be calculated by subtracting number of volunteers couldn't donate blood from Total number of volunteers.
Framing in equation form we get;
So, the number of remaining volunteers who donated blood =
.
Each of these volunteers donated blood = 470 ml
Now Total Amount of Blood donated is equal to Amount each of these volunteers donated blood times the number of volunteers who donated blood.
Framing in the equation form we get;
total amount of blood donated milliliters = 
Hence the equation representing total amount of blood donated is
.
complementary angles sum up to 90°.
so if one of them is 43°, then the other is just 90 - 43 = 47°.