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katovenus [111]
3 years ago
6

14 ft 3 ft 6 ft O 87 1313 252ft 0 262 52.31

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

35

Step-by-step explanation:

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Sally was standing 30 feet from a tree. The angle of
QveST [7]

Answer: The tree was 27 feet tall

Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;

Tan 38 = opposite/adjacent

Tan 38 = h/30

0.7813 = h/30

0.7813 x 30 = h

23.4 = h

We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4

Therefore the tree was 27 feet tall (approximately to the nearest foot)

5 0
3 years ago
What is the period of the sinusoidal function?<br><br> Enter your answer in the box.
ratelena [41]

Answer: 20

Step-by-step explanation: Just took the quiz

3 0
2 years ago
Jaylon spent $21.60 of the $80 he got for his birthday. What percent of his money did he spend? Oh
Anika [276]

Answer:

27%

Step-by-step explanation:

Jaylon spent 27% of his birthday money.

5 0
3 years ago
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If triangle def is rotated 180 degrees clockwise around the origin, what will be the coordinates of E’ in the image ?
Harlamova29_29 [7]
E' (-3,-1)

When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image. Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1). Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3). Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).
5 0
3 years ago
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Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
Ivahew [28]

Option C:

5, 1, 7

Solution:

Given equation:

y = |3x + 1|

In the chart, x values are given as –2, 0, 2.

To find the value of y for the corresponding x given.

Substitute x  = –2 in the equation of y.

y = |3(–2) + 1|

  = |–6 + 1|

  = |–5|   (Absolute value of a negative number is positive)

y = 5

Substitute x  = 0 in the equation of y.

y = |3(0) + 1|

  = |0 + 1|

  = |1|

y = 1

Substitute x  = 2 in the equation of y.

y = |3(2) + 1|

  = |6 + 1|

  = |7|   (Absolute value of a negative number is positive)

y = 7

Option C is the correct answer.

The values of y are 5, 1, 7.

The answer image of the table is attached below.

8 0
3 years ago
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