Take a look at the attachment below. It may help!
With this sector we can create a proportion to find the area watered by the sprinkler. 85 degrees over a total 360 degrees would be simplified to the following -
17 / 72 = ( About ) 4.235
Thus, we can calculate the area of the circle with a range of 5 meters radius, and divide by about 4.235 to receive the area watered by the sprinkler, or the area of the sector -
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<u><em>The solution should be about 18.5 meters^2</em></u>
Answer:
Part 1: Angle = 36°
Part 2: Angle = 72°
Step-by-step explanation:
If we have an angle "x", then
Its complement is 90 - x, and
supplement is 180 - x
Let's write equations and solve.
<u>Part 1:</u>
Complement = 1.5 times angle
90 - x = 1.5x
90 = 1.5x + x
90 = 2.5 x
x = 90/2.5 = 36
<u>Part 2:</u>
Now using 2nd equation:
3 * angle = 2 * Supplement
3x = 2 (180 - x)
3x = 360 - 2x
3x + 2x = 360
5x = 360
x = 360/5 = 72
Answer:
x = 19
Step-by-step explanation:
To solve proportions, you first need to cross multiply. 
, you would need to multiply each top number by 4. 76 = 4x, which then could easily be simplified down to 19 by just dividing by four.
Answer:
15
Step-by-step explanation:
f(x) = 5x + 40
…………………………
when x = -5
f(-5) = 5(-5) + 40
= -25 + 40
= 40 - 25
= 15
