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IrinaK [193]
2 years ago
11

A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. when the sun is at a 65° angle of elevation,

the tree casts a 25-foot shadow. what is the approximate length of the tree? 23 ft. 27 ft. 45 ft. 50 ft.
Mathematics
1 answer:
White raven [17]2 years ago
5 0

using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.

<h3>What is the Law of Sines?</h3>

The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.

Given the following:

  • H = the length of the tree = ? (b)
  • Let sin A = 30°
  • a = 25
  • Sin B = 65°

Apply the law of sines

sin 30/25 = sin 65/H

H = (sin 65 × 25)/sin 30

H ≈ 45 ft.

Learn more about the law of sines on:

brainly.com/question/2807639

#SPJ4

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Sadie has worked at a cell phone store for nine months. Her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. Which
Firdavs [7]

Here we go:

Minimum: 5

Maximum: 21

Median: 13

Quartile 1: 6

Quartile 3: 16½

I had to take a very long look at it, and I cannot believe how stupid I was.

Anyway, I am joyous to assist you anytime.

6 0
3 years ago
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Danny made 84 cupcakes on Monday and n cupcakes on Tuesday. Which expression shows how many more cupcakes Danny made on Monday t
Veronika [31]

Answer:

84- n

A is the correct answer.

6 0
2 years ago
Which equation can be used to verify that 534 – 68 = 466?
IgorC [24]

Answer:

466 + 68

Step-by-step explanation:

We can easily check a subtraction problem with an addition problem.

Calculate the sum of the subtracted and the difference. If the sum is equal to the minuend in the original subtraction problem, the answer is correct.

Minuend - Subtrahend = Difference

466 + 68 = 534

The statement '534 – 68 = 466' is correct.

Hope this helps.

6 0
2 years ago
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(-2, 1),
Rasek [7]

Answer:

<em>A</em>(-3, 6), <em>B</em>(-1, -2), <em>C</em>(-7, 1)

Step-by-step explanation:

To the pre-image after a 270°-counterclockwise rotation [90°-clockwise rotation], just reverse it by doing a 270°-clockwise rotation [90°-counterclockwise rotation]:

Extended Rotation Rules

  • 270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
  • 270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
  • 180°-rotation >> (x, y) → (-x, -y)

So, perform your rotation:

270°-clockwise rotation [90°-counterclockwise rotation] → <em>C</em><em>'</em>[1, 7] was originally at <em>C</em>[-7, 1]

→ <em>B'</em>[-2, 1] was originally at <em>B</em>[-1, -2]

→ <em>A</em><em>'</em>[6, 3] was originally at <em>A</em>[-3, 6]

I am joyous to assist you anytime.

3 0
3 years ago
Read 2 more answers
SHOW WORK!!
denpristay [2]

If he puts 300 sunfish into the pond, he will put 225 perch in the pond.

<h3>What is a ratio?</h3>

A ratio is the comparison of one thing to another. Generally, ratios compares value.

They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows

  • 4:3

If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:

  • 4 / 3 = 300 / x

cross multiply

4x = 900

x = 900 / 4

x = 225

learn more on ratios here: brainly.com/question/89456?referrer=searchResults

6 0
3 years ago
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