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sattari [20]
3 years ago
14

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from

the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

55 meters

Step-by-step explanation:

just took on edg

gregori [183]3 years ago
3 0

Answer:

55

Step-by-step explanation:

edge assignment

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Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre
NeTakaya

Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

S = 3D

S = R - 5

S + R+ D = 10 +4D

Required

Determine the value of R

S + R+ D = 10 +4D

Solve for R

R = 10 + 4D - D - S

R = 10 + 3D - S

Recall that S = 3D

Substitute 3D for S

R = 10 + 3D - 3D

R = 10

Hence;

<em>She caught 10 rabbits</em>

8 0
3 years ago
Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex. If Mr. Zelman has 800 comic books, then how many w
BARSIC [14]

Mr. Zelman gave 400 books to his nephew

<em><u>Solution:</u></em>

Given that, Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex

Mr. Zelman has 800 comic books

Number of books with Zelman = 800

Mr. Zelman wants to give 50% of books to Alex

Number of books given to nephew = 50 % of books of Zelman

Therefore, we have to find 50 % of 800

\rightarrow 50 \% \text{ of } 800

\rightarrow 50 \% \times 800\\\\\rightarrow \frac{50}{100} \times 800 = 400

Thus he gave 400 books to his nephew

4 0
3 years ago
How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?​
Nesterboy [21]

Answer:

Number of random samples = 962598

Step-by-step explanation:

A random sample represents  the responses for a certain survey of a part of the population.

A sample size is the part of the population being surveyed.

For a population N the number of different random samples that can be chosen for a sample size x can be calculated as = NCx

This can be calculated as :

NCx=\frac{N!}{x!(N-x)!}

Given:

Population size = 43

Sample size = 5

Number of random samples = 43C5

⇒ \frac{43!}{5!(43-5)!}

⇒ \frac{43!}{5!(38)!}

⇒ \frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}    [Canceling out the common terms]

⇒  962598   (Answer)

4 0
3 years ago
Delia earns $10.50 per hour working at a restaurant. On Friday she spent 1 3/4 hours cleaning . 2 1/3 hours doing paperwork, and
DIA [1.3K]
Friday:
She earns $10.5×1 3/4=$18.375 for cleaning, 10.5×2 1/3=$24.5 for doing paper work, 10.5×1 5/12=$14.875 for serving costumes. As a result, Delia earns $57.75 in total. Hope it help!
6 0
3 years ago
Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p
padilas [110]

Answer: 10.2\ yards

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

This is:

d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards

8 0
3 years ago
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