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telo118 [61]
2 years ago
15

4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group

Mathematics
1 answer:
Alona [7]2 years ago
5 0

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

<h3>Calculation of angle</h3>

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

Learn more about angles here:

brainly.com/question/25716982

#SPJ1

You might be interested in
The ratio of Michaels's points on an English test to Paloma's points on the same test is 12:11. The ratio of Michaels's points o
diamong [38]

The difference between Palomas and Antons' points on the English test is of 14 points.

<h3>What is Ratio ?</h3>

When two numbers can be written in the form as p:q , they are said to be in Ratio.

It is given that

The ratio of Michaels point to Paloma point is 12 :11

The ratio of Michaels point to Anton's Point is 4:3

Let Paloma's point be x

then Michaels point will be 12x/11

and Anton's points will be

(12x/11 ) / Anton's points = 4 /3

Anton's points = 9x/11

It is given that the sum of the points of the three students is 224

so

x + (12x/11)+ (9x/11) = 224

32x /11 = 224

x = 77

Paloma's points = 77

Anton's Points = 9x/11 = 63

The difference between Palomas and Antons' points on the English test

=77 -63

= 14 points.

To know more about Ratio

brainly.com/question/13419413

#SPJ1

3 0
2 years ago
5/x = 4/8?
photoshop1234 [79]

Answer:

10

Step-by-step explanation:

5/x = 4/8

Cross multiply

4*x = 5*8

4x = 40

x = 10

Answer is 10

You are correct

3 0
3 years ago
Which expression is equivalent to
Elan Coil [88]

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
An unknown number y is 20 more than an unknown number x. The number y is also x less than 2. The equations to find x and y are s
zloy xaker [14]

Answer:

b)Add the equations to eliminate x.

Step-by-step explanation:

y= x+20

y= - x+2

Result of the addition: (-x cancels x)

2y = 22

y =11

11=x +20            -9 = x

11=9+2

11 = -9 +20

8 0
3 years ago
1. How much greater is -20x^2+5x+17 than -19x^2+20x+18
ehidna [41]

Answer:

1. -x²-15x-1

2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32

Step-by-step explanation:

-20x^2+5x+17 - (-19x^2+20x+18)

-20x² + 19x² + 5x - 20x + 17 - 18

-x² - 15x - 1

-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)

-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17

-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32

8 0
3 years ago
Read 2 more answers
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