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Maurinko [17]
3 years ago
15

A tower that is 101 feet tall casts a shadow 110 feet long. Find the angle of elevation of the sun to the nearest degree.

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Answer:

x= 43.89

Step-by-step explanation:

Start off with your ratio. Because we're finding an angle, we'll use -1.

Since it's the opposite and adjacent, TAN is the ratio we're using here.

(tan is opposite/adjacent)

Tan -1x = 101/105

in your calculator, divide 101 and 101

=0.9619

then with this number, hit 2nd and Tan and enter and you will get

x= 43.89.

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If 60 square feet of flooring costs $287.00 how much does one square foot cost?
Lapatulllka [165]

Answer: About 5 bucks

Step-by-step explanation: Divide 287 by 60 which would equal 4.78333333333

5 0
3 years ago
The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:
Kazeer [188]
Answer: The correct answer is the last choice.

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words it didn't move.

In the last segment, it moved up again for 2 hours.
8 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is 3x-3y=54. Fully simplify your answer.​
padilas [110]
Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1

Solution: the slope will be -1
7 0
3 years ago
How many terms are there in a geometric series if the first term is 3, the common ratio is 4, and the sum of the series is 1,023
tatiyna
In Geometric Progression, we know S(n) = a.(rⁿ - 1 ) / r - 1
Here, a = 3, r = 4 a(n) = 1,023
1023 = 3 (4ⁿ - 1) / (4 - 1)
3(4ⁿ - 1) = 1023 * 3
4ⁿ - 1 = 3069 / 3
4ⁿ = 1023 + 1
4ⁿ = 1024
4⁵ = 1024

In short, Your Answer would be 5 Terms

Hope this helps!



6 0
4 years ago
Four sizes of scaled text are shown.
topjm [15]
Let
x--------> the unknown scale size
we know that
N 1---------> x
N 2---------> 1
N 3---------> 0.937
N 4--------->0.878
scale factor=0.937/0.878------> 1.0672
to obtain the size N 3 ----> multiply the size N 4 by 1.0672
size N 3=1.0672*0.878-----> 0.937
so
to obtain  the size N 2 ----> multiply the size N 3 by 1.0672
size N 2=1.0672*0.937------> 1

to obtain  the size N 1 ----> multiply the size N 2 by 1.0672
size N =1.0672*1------> 1.0672
hence
x=1.0672-------> x=1.067

the answer is the unknown scale size is 1.067
5 0
3 years ago
Read 2 more answers
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