Y = kx
Plug in what we know:
5 = k(8)
5 = 8k
Divide 8 to both sides:
k = 0.625
Plug this back into the equation along with y = 15:
y = kx
15 = 0.625x
Divide 0.625 to both sides:
x = 24
Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:

Thus,
The area of the shaded sector is 69.81 sq. meters.
We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:

where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find
.
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,

Therefore, the 23rd term in the AP is -464.
Hope it helps. :)
Answer:
37.5 percent
Step-by-step explanation:
Well, there are 25+15=40 total people. Since there are 15 children, the percent is 15/40, which is equal to .375
Because percent is by hundredths, multiply by 100 by moving the decimal to the right twice, and you have a percentage of 37.5.