1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu
alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0
3 years ago
Helppppp
sasho [114]

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

8 0
3 years ago
2+3+3==2=2=3=hiokwfqndklmDnkldgn
bonufazy [111]

Answer:

actually it's 234

brainliest this was hard

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
the sum of the measures of two complementary angles is 90 degrees. find the measure of the angle labeled x
adoni [48]
3x - 10 + x = 90
4x = 100
x = 25 degrees
3 0
3 years ago
5/8 - 3/4(8 - 1/3) + 1
Anon25 [30]
The answer is definitely -4 1/8
6 0
3 years ago
Read 2 more answers
Other questions:
  • hot dog buns come in package of 8. for the school picnic,Mr spencer bought 30 packages of hot dogs buns. how many hot dog buns d
    9·2 answers
  • What is (6.3-5.1)×(0.3)
    15·2 answers
  • Someone plz help i need a answer
    10·1 answer
  • What is the simplified form of 3x - 6/ x -2 ?
    15·2 answers
  • Help pleaseeeeee nowwwwww
    13·1 answer
  • A bus holds 30 students there are 360 students how many buses are needed
    6·2 answers
  • Dear branily, Don't delete MY question/answer WITHOUT LOOKING at it first. Why is it so hard just for you to look at the questio
    9·1 answer
  • can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
    9·2 answers
  • Over the next 12 months you have to read more than 72 books. You have to read x books per month. The inequality 12x >72 repre
    14·1 answer
  • Simplify;4t-2k+5k-t?<br> Help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!