Answer:
Step-by-step explanation:
Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.
This angle is vertical with angle z, so angle z also equals 99°
<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Answer:
48 soldiers leave the place.
Step-by-step explanation:
- 100/60=80/x
- 100x=4800
- x=4800/100
- x=48
hope it helps.
<h2>stay safe healthy and happy.</h2>
Answer: 3
Step-by-step explanation:
Given data:
Area of smaller flower bed = 25/4
Area of bigger flower bed = 75/4.
Solution:
75/4 = 25/4
Divide both sides 5
15/4 = 5/4
= 15/4 / 5/4
= 15/4 / 4/5
= 3
