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
One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3
and slope m = 
So the equation of line will be 
And the inequality should be 
Or 
And the other line passes through (-2,3) and (0,2)
So the y intercept is b=2
and the slope is 
So the equation of line will be 
Or
So answer is 
The reciprocal of 7 is 1/7, reciprocal of 8 is 1/8, and reciprocal of 9 is 1/9
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Answer:
Noel burns calories faster. Choice D
Step-by-step explanation:
n(x)=250x (noel’s burned calories per hour)
j(x)=100x (joy’s burned calories per hour)
