Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ <u>10x - 5y = 5</u>
y = -17
5x - 2(-17) = -6
5x + 34 = -6
<u> - 34 - 34</u>
<u>5x</u> = <u>-40</u>
5 5
x = -8
(x, y) = (-8, -17)
2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ <u>10x + 4y = 32</u>
<u>11y</u> = <u>2128</u>
11 11
y = 193.4545455
2x + 3(193.4545455) = 432
2x + 580.3636364 = 432
<u> - 580.3636364 - 580.3636364</u>
<u>2x</u> = <u>-148.3636364</u>
2 2
x = -74.1818182
(x, y) = (-74.1818184, 193.4545455)
The number of square feet of the carpet is the area of the carpet
The number of square feet of outdoor carpet is 32 feet
<h3>How to determine the number of square feet</h3>
To do this, we simply divide the carpet to regular shapes.
The outdoor carpet can be divided to the following shapes from top to bottom
- Rectangle of 4 ft by 2 ft
- Rectangle of 6 ft by 2 ft
- Rectangle of 6 ft by 2 ft
So, the area of the outdoor carpet is:
Area = 4 * 2 + 6 * 2 + 6 * 2
This gives
Area = 32
Hence, the number of square feet of outdoor carpet is 32 feet
Read more about areas at:
brainly.com/question/24487155
