1/2*(2*8)=3*(-12)
1/2*16=3*(-12)
1/2*16= -36
8= -36
The equality is false because the left hand and right hand side are different
Answer:
4
Step-by-step explanation:
36 = 9*h
9*h = 36
h = 36/9
h = 4
If Point C and D are equidistant from point A, it means that AC and AD are of the same length. AC = AD
AC = AD (S) (<span>Points C and D are equidistant from point A)
</span>AE = AE (S) (The two triangle shared the same side)
∠CAE = ∠EAD (A) (This angle is between the two sides that we just proved to be equal)
By SAS,
ΔEAD ≡ ΔEAC
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Solution:</u>
- 30 kilometers = 1 hour
- => 30 x 21/2 kilometers = 21/2 hours
- => 15 x 21 kilometers = 21/2 hours
- => 315 kilometers = 21/2 hours
Hence, in 21/2 hours, the cyclist rides 315 kilometers.
