Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
The speed is 99 kilometers. U welcome
Answer:
1) No
2) Yes
3) angle UXS = 120 degrees
4) arc CB = 40 degrees
Step-by-step explanation:
If AB is tangent to the circle, then angle at A would be 90 degrees.
1)
Is 13^2 + 14.6^2 = 19.4^2?
169 + 213.16 = 376.36 No
2)
Is 8^2 + 6^2 = 10^2?
64 + 36 = 100 Yes
3)
arc WS = arc VU + arc TU = 113 degrees
arc ST = arc WV because their chords cross making a pair of vertical angles.
full circle = 360 degrees
360-113 - 113 = 134 degrees
134/2 = 67 degrees for arc ST
arc STU = 67 + 53 = 120 degrees
Angle UXS = 120 degrees
4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.
Answer:
5.14 ft
Step-by-step explanation:
The perimeter of a circle is diameter X 3.14. since its half a circle, take the radius and multiply by 3.14. Since the radius is 1, the answer is pi itself. Then add 2 feet for the flat side of the semi-circle
