Formula to find the area of the sector is:
Where r= radius and \theta= central angle.
Given, radius is 4 centimeters has a central angle of 30'.
So, we can plug in r=4 and \theta=30° in the above formula to get the area of circle. So,
A= 16*15
A= 240
So, the area of sector is 240 square centimeters.
Bob has 120 nails
One pound = 80 nails
Half a pound=40
80+40=120
Yes, the work is correct.
Answer:
r = $105.6
Step-by-step explanation:
Given,
Amount paid by Trevor for 4 nights = $528
Rate per day = r
Now,
We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.
Now,
Amount paid = Number of days x Rate per day
$528 = 5 r
r = $105.6
Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.
Answer: B
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. This means that 48° should equal (7x+13)°, because they're vertical angles. The equation should appear as 48=7x+13. Subtract 13 on both sides to get. 35=7x. Divide 7 on both sides to result with x=5.