Answer: 18.24 cm^2
Step-by-step explanation:
the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.
1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12
[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.
50.24 is the area of 1/4 of the circle.
2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.
the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two
this means the triangle is 32 cm^2
3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
Answer:
29.87
Step-by-step explanation:
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
