<span>1. Two angles are complementary. One angle measures 50°. What is the measure of the other angle?
</span>complementary, sum of the angles = 90
<span>
so 90 -</span> 50 = 40
<span>
answer is
C.40°
2.Two angles are supplementary. One angle measurement is 30° more than the other. What is the measure of the smaller angle?
</span>supplementary, sum of the angles = 180
One angle measurement is 30° more than the other.
so both angles are 75 and 105
105 is 30 more than the other angel of 75
answer
measure of the smaller angle is 75
so it's D.75°
Answer:
The total volume of water in the pool = ( 6x^3 + 12x^2 - 90x ) ft^3
Step-by-step explanation:
The volume of water in the deep end = (2x^3 + 12x2 + 10x) ft^3
The volume of water in the shallow = (4x^3 -100x) ft^3
The total volume of water in the pool = (2x^3 + 12x2 + 10x) + 4x^3 -100x)
= ( 6x^3 + 12x^2 - 90x ) ft^3
Answer:
Principal=P=24,000
Rate of interest=r=15%
Time=n=2
3
1
years
Here first we take n=2years
A=P(1+
100
r
)
n
where A=Amount and n=number of years
A=24000(1+
100
15
)
2
=24000×
100
115
×
100
115
=Rs.31,740
The amount after 2 years is Rs31,740
Now principal=Rs.31,740
Simple interest for last
3
1
year is
100
PRT
=31,740×
100
15
×
3
1
= Rs.1,587
∴ Amount after 2
3
1
year= Rs.31740+1587= Rs.33,327
C.I =A−P
∴C.I=33,327−24,000=Rs.9,327
Answer:
Oliver paid a total of $363.
Step-by-step explanation:
The total amount paid by Oliver on this dinner is given by the cost of their lunch (275) plus the tax (12%) plus the tip (20%). So in order to calculate this value we first need to know how much was paid in tax and the tip, these calculations are shown bellow:
tax = 275*12% = 275*(12/100) = 33
tip = 275*20% = 275*(20/100) = 55
So the total amount paid was:
total = 275 + 33 + 55 = $363
Oliver paid a total of $363.
Angle is half the arc
46/2= 23 C