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?

Answers

Answer 1

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


Related Questions

Here is a list of numbers:
10, 16, 19, 16, 2, 4, 8 ,16 ,20
State the median.

Answers

Median = 16. Sorry if wrong. Have a great day

Answer: the median is 16

Step-by-step explanation:

2. Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $ 1.25, and the total was $ 18.20, what was the price of one hot dog?​

Answers

Answer:

1.65$

Step-by-step explanation:

18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$

13.2$ ( price of 8 hot dog)

price of one hot dog= 13.2$ ÷8= 1.65$

find the perimeter of the triangle

Answers

Answer:

73.7

Step-by-step explanation:

14 +14 +23+22.7=73.7

The values are 155 degrees, 5y degrees, and 13x degrees. find the values of x and y

Answers

Answer:

y = 5

x = 5

Step-by-step explanation:

find the complete question in the attached image

the angle opposite 5y is also 5y. this is because alternate angles are equal

180 = 155 + 5y

5y = 180 - 155

5y = 25

y = 5

the sum of 5y and 13x is equal to 90

this is because the sum of angle on a straight line is equal to 180 and one of the angle on the straight line is already equal to 90 . so, 90 (180 - 90)

5y + 13x = 90

25 + 13x = 90

13x = 90 - 25

13x = 65

x = 5

dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x

Answers

Answer:

B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15

Step-by-step explanation:

Given expression = x + 15% of x

x + (15/100) x = x + 0.15x

= (1+ 0.15) x = 1.15x

15% = 0.15 , added to x = 1.15x

Please help I have the answer but please make it look like I did the problem 31 divided by 155

Answers

Answer:

Step-by-step explanation:

155 divide by 31=5

Answer:

1/5 or 0.2.

Step-by-step explanation:

31 / 155

Now 155/31 = 5

so the answer is 1/5.

Help me please I will give you a heart and rate if u do.

Answers

The answer is D, multiply all those numbers together.

Answer:

(B). 1240 cm²

Step-by-step explanation:

QUICk GIVING BRAINLIEST TO RIGHT ANSWER

Answers

Answer:

I believe the answer is b.73.7

Answer:

73.7

Step-by-step explanation:

Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?

Answers

Answer:

5 pillows

Step-by-step explanation:

3 1/3 also = 10/3

10/2 = 5

5/1 · 2/3 = 10/3

10/3 = 3 1/3

Answer:

5 pillows

Step-by-step explanation:

Divide the total amount of yards by the number of yards to make a pillow to get the number of pillows Kevin can make.

[tex]3 \frac{1}{3} /\frac{2}{3} =\frac{10}{3} /\frac{2}{3} =\frac{10}{3}*\frac{3}{2} =\frac{30}{6} =5[/tex]

A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?

Answers

Answer:

200 meters

Step-by-step explanation:

a² + b² = c²

c² = 120² + 160²

c² = 14,400 + 25,600

c² = 40,000

√(c²) = √(40,000)

c = 200

Answer: 200 meters

30 POINTS!!
The height of a ball dropped from a 160 foot building after a seconds is represented by h(t) = 160 - 161².
How high will the ball be after 3 seconds?

Answers

Answer:

The height of the ball after 3 secs of dropping is 16 feet. Function h(t)=160-16t^2

have a good day :)

CAN SOMEONE HELP ME PLZ NO LINKS

Answers

Answer:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

Step-by-step explanation:

Which equation does the graph below represent

Answers

Answer:

4) y=-4x

Step-by-step explanation:

The lines goes down 4 units as it moves 1 unit right.

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?​

Answers

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80

The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?

Answers

The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The population of Arlington High School can be modeled using the equation

[tex]\rm P(t)=3,500(1.027)^t[/tex]

Where t represents the number of years since 2010.

The population of Arlington High is increasing. Because b > 1.

Then the population of Arlington High school after 29 years will be

P(27) = 3500 (1.027)²⁹

P(27) = 7578.98

P(27) ≈ 7579

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.




Mean(x) = sum of 32 observations / 32 = 7.97



Standard deviation( sd )=2.62



Sample Size(n)=32



Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?

Answers

Answer:

A)CI 90 % = [ 7,2103 ;  8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1     α/2 = 0,05  and from z-table we find  z(c) for 0,05   z(c) = 1,64

CI 90 % = [ x  ±  z(c) * s/√n ]

CI 90 % = [ 7,97 ±  1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ;  8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp  is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size

Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.

Answers

Answer:

$32.60

Step-by-step explanation:

This question has to to do with exponential decay. The formula is given as:

y = a(1 - r)^x

y = Value of the material after x years

a = Initial value of the material

x = Time in years

r = rate of depreciation or decay

Therefore,

y = 4500 × (1 - 0.28)¹⁵

y = 4500 × 0.72¹⁵

y = $32.598675906

y = Approximately = $32.60

Therefore the of the car after 15 years = $32.60

HELP ILL GIVE BRAINLEST its my e+am <3

Answers

Answer:

Think its D

Step-by-step explanation:

guyzz pls help. my cuzzies have been arguing whether the answer is 96 or 104.

Answers

Answer:

it's 104.

mark me brainliestt :))

Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form

Answers

Answer: [tex]5:15:24[/tex]

Step-by-step explanation:

Given

Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint

So, the ratio of white, red, and yellow paint is

[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]

The ratio of three paints is [tex]5:15:24[/tex].

Using the data in the table below, what is the constant rate of change, k?

PLS HELP ASAP! (11 POINTS)

Answers

Its K=2.5!!! I hope this helps!!

find the value of x in the figure.​

Answers

The answer is 121 because 180 - 59 = 121

HELP ASASP ITS 6Th GRADE MATH

Answers

Answer:

We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math


Help please. I need an answer quick please.


“Select all the graphs that show a proportional relationship”




Answers

Answer:

Step-by-step explanation:

The graphs of all proportional relationships go through the origin.  The first graph satisfies this criterion; the second does not.

Please help,, I'll mark as brainliest if correct

Answers

the answer is, the number of packages of corn purchased

Answer:

C. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.

Three plus the number a is greater than or equal to 19

Answers

Answer:

a[tex]\geq[/tex]16

Step-by-step explanation:

3+a[tex]\geq[/tex]19

-3    -3

a[tex]\geq[/tex]16

(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)

The Garrett family traveled 1,280 miles in 4 days on their driving vacation.
If they traveled the same number of miles each day, how many miles did they travel in 1 day?
325
330
335
320
340

Answers

Answer:

320

Step-by-step explanation:

An equation is a math sentence. Which letter(s) represent only an expression, not a complete math sentence? (Could be more than one answer.)
1. 3y=14
2. x-6
3. a/7=6
4. 3 + 5b
5. 12=0.8(5) + c
6. 6/p + 0.5-2/3(p)

Answers

Answer:

2, 4, 6 are expressions

Step-by-step explanation:

A math sentence has a verb: "is equal to"  It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.

An expression has no verb!

x - 6  Say it out loud. See?  No verb.  It's like saying "that evil neighbor of mine" without saying anything more. Yes? Did what? Is what? Compares to what?

Mason is training for the javelin-throw event. A coach created
a graph that shows the height of the javelin over time for
Mason's best throw.
Height (meters)
ONO O NA
5
3 4
Time (seconds)
How many seconds did it take for the javelin to reach its
greatest height?
4.1 s
B В
1.3 s
C
13 s
2 s

Answers

It needs to be 2s if you look at the graph it should show

Answer:

2 seconds

Step-by-step explanation:

How much points do you need to pass your algebra 1 class?

Answers

you need to have a C or a 70% usually.

Answer:

You can have a D in your class to pass but if you have a F then you dont pass the class

Step-by-step explanation:

Other Questions
What is the value of "x"? Analyze the punnett square R represents round seeds r represents wrinkled seedsratio of phenotypes:ratio of genotypespercent of offspring with round seeds:percent of offspring with wrinkled seeds:I need awner like a reason not a choice question What happens when the pollen gets past the nasal mucus osmosis Jones Plz help, its worth 200 points by today The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 43 and a standard deviation of 11. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 10 and 43 What is the background instrumental or vocal music you hear in a TV or radiocommercial?O A. A songB. AjingleC. TV mussD. Radio music show work pls, WILL GIVE BRAINLIEST (3/5)x+2/5=7 3a-2b=14. 3a+2b=28.. can y'all tell me what these notes are...? I haven't been listening to choir and this is due by 11:59 .... The tertiary structure of a protein is a complex arrangement formed as the polypeptide chain folds and twists.a. Trueb. False Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!! Whats the difference between a subset and a proper subset? {5,8} {2,5,8} Is {5,8} a subset of {2,5,8}. How many moles are there in 8.25 x 10^26 molecules of methane (CH4)? HELP ME PLEASEEEEEEEEEEEE Can any one help Can anyone help PLEASE HELP ME ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!How does Brutuss reason for giving his monologue compare to Antonys reason for giving his?A. Both Brutus and Antony explain that they are there to discuss why Caesars death is the best thing for all of Rome.B. Brutus explains that he wants to talk about the consipirators faults, while Antony says that he wants to talk about Caesars faults.C. Both Brutus and Antony say that they feel compelled to speak about Caesar because they both loved him dearly and regret that he is dead.D. Brutus announces that he wants to explain that he killed Caesar because he loved Rome, while Antony says that he has come to bury Caesar. What land did the Persian army fail to conquer? Egypt,Mesopotamia,Greece , or Asia Minor 16 points helllppppppppppppppp Laertes plans to kill Hamlet in a ________ dual. (Name the sport.) A. There will be 133 children attending summer camp. Nine children cansleep in each cabin. How many cabins will be needed?