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soldi70 [24.7K]
3 years ago
9

PLEASE HELP ME PRETTY PLEASE

Mathematics
1 answer:
aksik [14]3 years ago
4 0

Answer:

The approximate height of the tree is 4.6 m

Step-by-step explanation:

Distance between the base of tree and arborist = 8 m

So, Base = 8 m

The angle of elevation to one tree is 30°

We are supposed to find What is the approximate height of the tree?

Using trigonometric property:

tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ}=\frac{Height}{8}\\\frac{1}{\sqrt{3}}=\frac{Height}{8}\\\frac{8}{\sqrt{3}}=Height\\4.618=Height

So,  the approximate height of the tree is 4.6 m

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If ABCD is a rectangle find angle ABD​
8090 [49]

Answer:

61 degrees

Step-by-step explanation:

First, find x. CBD=BDA

x+18=4x-15

x=11

Four interior angles of a rectangle are all 90 degrees. So to find ABD, subtract  CBD from 90 degrees. So 90-29=61 degrees.

8 0
3 years ago
Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

<h3></h3><h3>How much will it cost?</h3>

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

#SPJ1

6 0
2 years ago
A. in terms of the number of marked elk, what is the relative frequency of male elk, female elk, adult elk, and baby elk? write
mash [69]

The relative frequency of the marked elks are:

  • Male Elk  = 7/30
  • Female Elk = 4/15
  • Adult Elk= 173/450
  • Baby Elk = 26/22

<h3>How to determine the relative frequency?</h3>

From the complete question, we have:

  • Male = 105
  • Female = 120
  • Adult =  173
  • Baby = 52
  • Total = 450

The relative frequency of each is then calculated as:

Male Elk = 105/450

Male Elk  = 7/30

Female Elk = 120/450

Female Elk = 4/15

Adult Elk= 173/450

Baby Elk = 52/450

Baby Elk = 26/22

<h3>The number of Elks in the park</h3>

Using the data in (a), we can conclude that:

There are 105 male, 120 female, 173 adult, and 26 baby in the park

Read more about frequency table at:

brainly.com/question/1094036

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4 0
2 years ago
What is the slope of the line?
laiz [17]
The slope of the line = 1/2
8 0
3 years ago
For her birthday party, Melonie wants to make a punch drink made with 2 1/2 gallons orange juice, 4 quarts cranberry juice, and
Ilya [14]
Melonie will make 4 1/4 gallons of punch.
3 0
3 years ago
Read 2 more answers
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