Answer:
Step-by-step explanation:
Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.
The area for a whole circle is 
.
Using that information, we can find the area as if the circle was whole instead of just the fourth.
Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.
That means that the area of the shape shown is .
I hope this helps!
The 3rd set, no x or y numbers are repeated.
Answer: 9
Step-by-step explanation:
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
m = -4
Step-by-step explanation:
- 36 - m = 8(4+2m)
- 36 - m = 32+16m (to remove m from the left side, we need to add m to both sides)
- 36 = 32+17m (subtract 32 from both sides)
- 68 = 17m (divide by 17 on both sides)
-4 = m
