Answer:
radius = 5 in
Step-by-step explanation:
Using the formula for calculating the area (A) of a circle
A = πr² ( r is the radius )
here A = 78.5, hence
3.14r² = 78.5 ( divide both sides by 3.14 )
r² = 
= 25 ( take the square root of both sides )
r = 
= 5
In the given question , we have a function given , which is
And we need to find the value of y when x=5.
So we substitute 5 for x and solve for y, that is
And on rounding to the nearest tenths, we will get
So when x=5, y=0.4
Answer:
16
Step-by-step explanation:
94/6 = 15.66667
smallest number of boxes = 16
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
Answer:
-4432.5 m . . . or . . . -4.4325 km
Step-by-step explanation:
You can use the formula for average velocity, fill in the given values, and solve for displacement.
average velocity = displacement/time
-98.5 m/s = displacement/(45 s)
Multiply by time:
(-98.5 m/s)(45 s) = displacement = -4432.5 m
_____
Keeping units with the numbers serves as a check on the math. (m/s)·s = m. The units work the same way variables do: they can be multiplied and divided, raised to a power, canceled. If the units of the problem don't work out right, you're probably doing it wrong. (Note, you can only add and subtract numbers that have the same (identical) units--the same rule as for combining like terms.)
