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erica [24]
3 years ago
10

A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

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Match the equation below with the following graph.
Lemur [1.5K]

Answer:

2x+4

Step-by-step explanation:

The equation of the line in point-slope form is expressed as;

y - y0 = m(x-x0)

Using the coordinates (0,4) and (-2, 0)

Slope = 0-4/-2-0

slope = -4/-2

slope = 2

Substitute m = 2 and the point (0,4) into the formula;

y - 4 = 2(x-0)

y - 4 = 2x

since y = 4 + 2x

y = 2(x+2)

Hence the required equation is 2x+4

6 0
2 years ago
Janice is 7 years older than Tam. Complete the table, and then graph this situation.
qwelly [4]

Answer:

The table in the exercise can be completed with the next results:

  • x          y
  • 2         <u>9</u>
  • 4         <u>11</u>
  • 6         <u>13</u>
  • 8         <u>15</u>

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

  • y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

  • y = 2 + 7
  • <u>y = 9</u>

When x is 4:

  • y = 4 + 7
  • <u>y = 11</u>

When x is 6:

  • y = 6 + 7
  • <u>y = 13</u>

When x is 8:

  • y = 8 + 7
  • <u>y = 15</u>

At last, <u>to obtain the graph you can use the formula made: y = x + 7</u>, and you'll obtain a graph like the attached picture, <em>where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7</em>.

8 0
2 years ago
This is math can someone help me
Pani-rosa [81]
272 fluid ounces of lake water
5 0
2 years ago
Read 2 more answers
Question Number 22 You work for a company that manufactures large tarps used for groundcover. An order was placed for a rectangu
Colt1911 [192]

Answer: the area of the finished tarp is 131872 square inches

Step-by-step explanation:

Search strip of tarp is rectangular. The formula for determining the area of a rectangle is expressed as

Area = length × width

An order was placed for a rectangular tarp that will be made up of 8 strips of fabric. Each strip is 26 inches wide and 634 feet long. The area of each strip of tarp is

Area = 26 × 634 = 16484 square inches

Therefore, the area of the finished tarp would be

8 × 16484 = 131872 square inches

4 0
3 years ago
Decimals between 10 and 15 with an interval of .75 between each pair of decimals
d1i1m1o1n [39]
This is a sum that needs understanding the starting and the ending number first. then you should understand that between the starting and the ending number there has to be pairs of numbers with a difference of 0.75.
The numbers are:
10.75, 11.50, 12.25, 13.00, 13.75, 14.50.
6 0
3 years ago
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