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grigory [225]
2 years ago
6

Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point

where Malaya is standing to the top of the courthouse is 72°, while the angle of elevation to the top of the bank is 35°. What is the distance between the courthouse and the bank?
Mathematics
1 answer:
Alex2 years ago
3 0

Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

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write the equation of a line that is perpendicular to the line y=-3/7-15 and that passes through the point (9,2)
SashulF [63]

Answer:

Step-by-step explanation:

First substitue the coordinates to the equation so

x=9, y=2

you would get

2=-3/7(9) + b

we put b because we are trying to find the new slope

multiply the two numbers above

2=-3/6/7 + b

subtract the whole number from both sides

b= 5/6/7

in equation would be

y= -3/7 + 5/6/7

Let me know if there is an error.

8 0
3 years ago
Is 1/4 the answer to this what ratio forms a porportion with 8/36
Svetlanka [38]
No.
1/4 would be proportional to 9/36.

8/36 can be simplified to 4/18, and further reduced to 2/9.
3 0
3 years ago
Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

  • F is the future value (what we want to find)
  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


7 0
3 years ago
Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu
Reika [66]

She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

Monday+Wednesday+Friday+Saturday = 51

x+x+x+15=51\\3x=51-15\\3x=36

Dividing both sides by 3

\frac{3x}{3}=\frac{36}{3}\\x=12

She swims 12 laps on Monday.

Keywords: addition, division

Learn more about division at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

7 0
3 years ago
What is the slope of the line with the equation 3y+5x=4
marta [7]

I think none of these are right. It's Y=-5/3x +4/3

7 0
3 years ago
Read 2 more answers
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