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Marrrta [24]
3 years ago
5

A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

Height of the tree is 78.11 feet.

Step-by-step explanation:

By applying the tangent rule in the right triangle formed,

Since, tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(32)° = \frac{h}{125}

h = 125(tan32°)

h = 125(0.62487)

h = 78.109

  ≈ 78.11 ft

Height of the tree will be 78.11 feet.

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A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are a
Vesna [10]

Answer:

N = 9

M = 87.11

Step-by-step explanation:

According to the situation, the data provided and the solution are as follows

The scores for the student in the classroom is

= 88 88 92 88 88 72 96 88 84

The different student's number of scores is 9

The solution of new n and M is shown below:-

Sample size (n) = 9

Sample mean (m) is

= \frac{Sum\ of\ all\ data\ values}{Sample\ size}

= \frac{88 + 88 + 92 + 88 + 88 + 72 + 96 + 88 + 84}{9}

= \frac{784}{9}

= 87.11

3 0
3 years ago
Select all the possible ways to transform the letter V in a single transformation so that its point is up rather than down.
Alika [10]
I think that would be B,C....
6 0
3 years ago
Ling our 1500 in a savings account the simple interest rate is 1.5% how much simple interest will he earn after three years
natima [27]

Answer:

Step-by multiply 1500 × 0.015 × 36 to get that:

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4 0
3 years ago
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Radda [10]
<h2>Greetings!</h2>

Answer:

y = \frac{1}{2}x + \frac{29}{4}

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

\frac{-1}{gradient}

So the slope of the perpendicular line is:

\frac{-1}{4} = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = \frac{-1}{4}

y - 6 = \frac{-1}{4}(x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = \frac{2}{4}x + \frac{29}{4}

y = \frac{1}{2}x + \frac{29}{4}


<h2>Hope this helps!</h2>
8 0
3 years ago
A square has a perimeter given by the expression 16x+32y. Write an expression for the length of one side of the square.
Lemur [1.5K]
A square has 4 equal sides which make up the perimeter.

Therefore the length of one side = (16x + 32y) / 4  = 4x + 8y Answer
8 0
3 years ago
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