Answer:
Step-by-step explanation:
Balloon - B, stake - S, point at ground - G
<u>Given:</u>
- BS = 90 ft
- m∠BSG = 62°
- BG = x
<u>Use sine and solve for x:</u>
- BG/BS = sin ∠BSG
- sin 62° = x / 90
- x = 90 sin 62 deg
- x = 79 ft (rounded)
Answer:
Check the explanation
Step-by-step explanation:
1. The level of education as high school diploma (31% area).
Therefore the most frequent education level is High school Diploma.
2. Suppose there are 200 people in random sample. Pie diagram shows the percentage of people with Bachelor's degree is 19%
Therefore the number of people having Bachelor's degree among 200 people = 200×19% = 38
Therefore the answer is 38 .
3. Now the population size given is 6000. The percentage of individuals who have some collage but no degree is 17%
Therefore the number of individuals among 6000 individuals who have some collage but no degree = 6000×17% = 1020
Thereforethe answer is 1020 .
4. The percentage of individuals who have an associate's degree is 9% as per the pie diagram. The above pie diagram is based on a random sample of individuals. If we take another sample then also we may get different result. Therefore if we considere the entire population of U.S.A. the percentage of individuals who have an associate's degree may differ from 9% .
This is a maximization problem so we apply derivatives here to determine the unknown variables in the problem.
In this problem, we represent x as the number of hats made, and y as the number of Afghans made by Mrs White.
Equation 1 relating to the time it takes to make these is expressed:
7x + 4y = 68
Another equation that represents inequality to the number of hats and Afghans respectively is expressed:
x<= 14
y<=11
the third equation expresses the income from selling these items expressed as
P = 21 x + 9y
we subtitute 1 to 3
P = 9(68-7x)/4 + 21x = 153-15.75x + 21 x = 153 -5.25x
So by trial and errror, x and y should be integers, we get two cases of which x and y should be
1) x = 4 ; y = 10
2) x = 8 ; y = 3
Subsituting to 3, P1 = 174$ while P2is equal to $195, Answer then is 8 hats and 3 Afghans in total.
Answer:
611.08
Be sure to treat the two shapes as completely different figures, then add their totals together
