Answer:
A. Yes. This can form an Acute Isosceles triangle with 2 equal sides and no angles over 90 degrees and the sum of two sides is larger than the third.
B. No. The sum of two sides must be larger than the third.
C. Yes. He can use A and B, A and C or B and C.
D. He can't create 2 rectangular gardens with the six pieces of wood. He needs 4 pieces for the first rectangle which leaves only 2 pieces for the second rectangle. Rectangles must have 4 sides.
He can create 2 triangular gardens. Triangles only require 3 sides which means he can make 2 triangular gardens.
E. If the chain is 12 feet long, it has the following area:
Area =
= 3.14 *
= 3.14 * 144 = 452.16 square feet
Step-by-step explanation:
This was the best I can figure out. Answers have not been verified.
![{(( { - 3})^{2} ) }^{3} \: = \: {( - 3)}^{2 \times 3} \: = \: {( - 3)}^{6}](https://tex.z-dn.net/?f=%7B%28%28%20%7B%20-%203%7D%29%5E%7B2%7D%20%29%20%7D%5E%7B3%7D%20%5C%3A%20%3D%20%5C%3A%20%7B%28%20-%203%29%7D%5E%7B2%20%5Ctimes%203%7D%20%5C%3A%20%3D%20%5C%3A%20%7B%28%20-%203%29%7D%5E%7B6%7D%20)
Since the power is even,
![{( - 3)}^{6} \: = \: {(3)}^{6}](https://tex.z-dn.net/?f=%20%7B%28%20-%203%29%7D%5E%7B6%7D%20%5C%3A%20%3D%20%5C%3A%20%7B%283%29%7D%5E%7B6%7D%20)
Therefore, the answer is D.
Circumference = 2(pi)r
Area = (pi)r^2
r = 5
5 * 2 = 10
Circumference = 10π
5 * 5 = 25
Area = 25π
Using 3.14 as pi substitute:
5 * 3.14 = 15.7
15.7 * 2 = 31.4
Circumference = 31.4
5 * 5 = 25
25 * 3.14 = 78.5
Area = 78.5
Answer:
b2 = 1
Step-by-step explanation:
A = h(b1 + b2)
Given:
A = 16
h = 4
b1 = 3
b2 = x
Work:
A = h(b1 + b2)
16 = 4(3 + x)
16 = 12 + 4x
4x = 16 - 12
4x = 4
x = 1