Answer:
(2, 14), (5, 12), (8, 10), (11, 8), (14, 6)
Step-by-step explanation:
Lets do the math for Pattern A:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
Lets do the math for Pattern B:
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
Answer:
Area of given figure = 96 unit²
Step-by-step explanation:
Given:
Length of shape = 4 unit
Width of shape = 4 unit
Height of shape = 4 unit
Find:
Area of given figure
Computation:
All side of figure all equal
So,
Given figure is a cube
Number of faces of cube = 6
Area of base = side x side
Area of base = 4 x 4
Area of base = 16 unit²
Area of given figure = Area of base x Number of faces of cube
Area of given figure = 16 x 6
Area of given figure = 96 unit²
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
<h3>How to solve the length?</h3>
Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
If we do not care about order, then a combination is an arrangement of r objects chosen from n distinct objects. It can often be seen written as:
or
Its factorial form is:
Answer:
points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set
