We are asked to determine the lengths of the line segment drawn with these points as endpoints. The equation of the distance between points is,
d = sqrt ((y2 - y1)² + (x2 - x1)²)
Substituting the coordinates of the points,
d = sqrt ((14 - 9)² + (4 - 2)²)
The numerical value for d is approximately 5.39.
Answer: b = 90
Step-by-step explanation:
Full triangle is 180
5 + 4 = 9 + 1 (the smallest angle)
180 ÷ 10 = 18
First and smallest angle is 18
p= 18
Second angle is 72
18 × 4 = 72
Thrid angle is 90
18 × 5 = 90
b = 90
18 + 72 = 90 + 90 = 180
Answer:
B
Step-by-step explanation:
When there is only rotation and reflection, there is no change in size. A change in size occurs when there is dilation.
Answer:
You use trigonometry.
Step-by-step explanation:
You can use soh cah toa. Basically you pic one side and if the interior angle is opposite or next to it, you you soh, or cah, or toa, it's based on where the angle is.
Answer: 17 cm
Step-by-step explanation:
For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:
V = B*H
Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3
Then:
B = 3cm^2
V = 51cm^3
If we replace those in the equation above, we get:
51 cm^3 = (3cm^2)*H
Solving this for H gives:
(51 cm^3)/(3 cm^2) = H = 17 cm
The height of the tubing is 17 cm
