Subtract ; 68 - 24 =44 so that means Sarah is 44 years old.
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for. Minor arc RQ is double the measure of the angle that intercepts it. That means that minor arc RQ is 2(12x-12), which is 24x - 24. The measure of the outside of any circle will always and forever be 360 degrees; therefore, 40x + 24x - 24 = 360. Combining like terms gives us 64x = 384 and x = 6. Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60. Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
Answer: Graph C is correct
Step-by-step explanation:
The region below the dashed red line is y < 4/3x +2
The region below the solid purple line is y ≤ -1
The region below and left of the solid green line is y ≤ -3x
Answer:
12 fives and 18 tens
Step-by-step explanation:
solving this we need 2 different equations
one for he total bills and one for the total money
x+y=30
that is total bills
5x+10y=240
combining both equations we can use elimination method and get
12 five dollar bills and 18 ten dollar bills
