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Zina [86]
3 years ago
7

I need a quick response! Please help!

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

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A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of t
Wewaii [24]

Answer:  The length is 510 and the width is 110.

Step-by-step explanation:

To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because  a rectangle have 4 sides. Two widths and two  lengths.

You can now use the formula  P= 2l + 2w  

were P is the perimeter , l is the length, and w is the width.

the length is 400 more than the width, so we can represent that by the equation,  l = w + 400  

And now we know that the width is w.

So now we will input the perimeter, length, and into the formula to solve for w.

1240 = 2(w + 400) + 2w

1240 = 2w + 800 + 2w

1240 = 4w + 800

-800            -800

   440 = 4w

    w = 110

L= 110 + 400

L = 510  

Check :

1240 = 2(510) + 2(110)

1240 = 1020 + 220

1240 = 1240

5 0
3 years ago
Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?
Grace [21]
Answer is 174 ft2.


Area of triangle: 24 ft2

First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft

Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2

Secondly, find the area of the rectangle.
10 x 15 = 150 ft2

Then add up the area of the triangle and rectangle.

150+24= 174 ft2
4 0
3 years ago
Find the amount accumulated after investing a principle P for T years at an interest rate compounded k times per year.
BartSMP [9]
1. 3500(1+ \frac{.05}{4}) ^{4*10}
3500(1+.0125) ^{40}
3500(1.64) = 5740

2. 25300(1+ \frac{.045}{12} ) ^{12*25}
25300(1+.00375) ^{300}
25300(3.07) = 77671

Hope that helps.  Feel free to ask any questions
8 0
3 years ago
What is the mean of 45,50,47,52,53,45,51
Alina [70]

Answer:

Mean is 49

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Please give me the brainliest answer.

Hope this helped :D have a good day!!!

8 0
4 years ago
You spin a spinner numbered 1 to 9, and roll a dice numbered 1 to 6. What is the probability of the compound event "getting an e
inna [77]

Answer:

2/27

Step-by-step explanation:

Probability to get an even number on a spinner is 4/9.

Probability of getting a 5 on a die is 1/6.

4/9*1/6=4/54=2/27

3 0
3 years ago
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