Answer: 6/14 and 42/99
Step-by-step explanation:
Answer:7.776
Step-by-step explanation:
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:
It will cost Mr. Smith $68 to make his suit.
Step-by-step explanation:
Since the charge $12 per hour, and it takes 4 hours to make the suit, then we need to multiply 12 by 4.
12 × 4 = 48
Now we need to add the flat rate since that is the initial charge for service.
48 + 20 = 68
This means it will cost Mr. Smith a total of $68 for his suit.
The volume of a box with dimensions x by x by x is
.
So if we are given the volume V of a cube-shaped box, the side length of thit is
.
So we calculate the cubic roots of the volumes we have, and we add their heights.
To calculate the cubic root of 729, we can factorize it, and group the perfect cubes together, as follows:
, which we recognize as
so
similarly 1,331 can be found to be
.
Thus we have 2 boxes with side length equal to 11 m and one with side length equal to 9 m.
Answer: h= 11+11+9 = 31 (meters)