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kobusy [5.1K]
3 years ago
13

If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the i

ntegers?
Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

132=3x

x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

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The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end (in feet)?
luda_lava [24]
The answer is 3.16 ft

The surface area (SA) of the rectangular prism is:
SA = 2lw + 2ld + 2wd

However, the pool is without the top side, so the area of the top side should be excluded from the surface area of the pool. The surface area of the rectangular pool is:
SA = lw + 2ld + 2wd

We know:
SA = 210 ft²
l = 9 ft
w = 10 ft
d = ?

210 = 9 * 10 + 2 * 9 * d + 2 * 10 * d
210 = 90 + 18d + 20d
210 - 90 = 38d
120 = 38d
d = 120/38
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8 0
3 years ago
What is the measure of the central angle of a circle with radius 15ft that intercepts a 10ft arc
svetlana [45]
Radius = 15 feet
circumference = 2 * PI * 15 = <span> <span> <span> 94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 = <span> <span> <span> 0.1061007958 </span> </span> </span> * 360 =
=  <span> <span> <span> 38.196</span></span></span> degrees



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