Answer:
x = -4.8
Step-by-step explanation:
combine like terms
3x + 2x + 6 = -18
5x + 6 = -18
isolate the terms with the x variable
5x + 6 - 6 = -18 - 6
5x = -24
isolate x
5x/5 = -24/5
x = -4.8
Answer:
r = sqrt(16/pi)
Step-by-step explanation:
Cylinder formula = r^2 x pi x height
176 pi/11pi = 16
16 = r^2 x pi
16/ pi = r^2
r = sqrt(16/pi)
Answer:
The workers will need 10 days to finish the job.
Step-by-step explanation:
To solve this question we can use a compound rule of three. We have:
10 road workers -> 5 days -> 2h/day
2 road workers -> x days -> 5h/days
The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:
2 -> 5 -> 5
10-> x -> 2
x = (5*2*10)/(2*5) = 100/10 = 10 days
Answer:
Angle of A = 90 degree-62 degree = 28 degree.
Step-by-step explanation:
tan (62) = opposite / adjacent = 10 / a ---> a = 10/tan (62) = 10/ 1.88 = 5.319
cos (62) = a/c --->c = a/cos (62) = 5.319 / 0.47 = 5.3 / 0.47 = 11.3
or another way.
sin (62) = 10 /c ---> c = 10/ sin (62) = 10 / 0.88 = 11.3
So Angle of A = 28 degree.
a = 5. 3
c = 11.3.
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Answer:
d = 
Step-by-step explanation:
1) To solve for d, isolate it in the equation. So, to get rid of the 
with the d, add 
to both sides.
Thus, d = .
