1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.
, x= 107 degrees.
Answer:
1225π
Step-by-step explanation:
The question concerns the volume of the cylinder.
The formula of the volume is:
, where r is the radius and h is the height.
Plugging the given numbers into the formula, we find that:
The result - 1225π shows that the cylinder can be filled fully with that given amount.
Area = Area of rectangle + area of semicircle
Area of rectangle = 5 x 1 = 5 m^2
area of semicircle = πD²/8 = 3.14 x 5² / 8 = 9. 8125
Area = 5 + 9.8125 = 14.8125 m^2
Answer:
19.6 cm²
Step-by-step explanation:
If a circle fits perfectly inside of a square, then its diameter is equal to the length of sides of the square.
The area of a circle is given by:
In this problem, d = 5 cm, the area of the circle is:
The approximate area of the circle is 19.6 cm².
Answer: $144
Step-by-step explanation:
8 tiles = $192
1 tile = $24
2 tiles = $48
192 - 48 = 144
she returned 2
8 - 2 = 6
6 tiles = $144
