Answer:

Step-by-step explanation:
Volume of a cone=1540
, Radius=7cm.
The height of a cone=h
When we need to find the height of a cone, we can use the formula of the volume of a cone, which is
to find the height of a cone.

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.


Move
to another side. 1540 divided by
to calculate what is the value of h, h is the height of a cone. Like this.


Rearrange the h.

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!
Remark
You don't have to decompose the second one, and it is better if you don't. Just find the area as you probably did: use the formula for a trapezoid. You have to assume that the 6cm line hits the 2 bases at right angles for each of them, otherwise, you don't know the height. So I'm going to assume that we are in agreement about the second one.
Problem One
The answer for this one has to be broken down and unfortunately, you answer is not right for the total area, although you might get 52 for the triangle. Let's check that out.
<em><u>Triangle</u></em>
Area = 1/2 * b * h
base = 16 cm
h = 10 - 4 = 6
Area = 1/2 * 16 * 6
Area = 48
<em><u>Area of the Rectangle</u></em>
Area = L * W
L = 16
W = 4
Area = L * W
Area = 16 * 4
Area = 64
<em><u>Total Area</u></em>
Area = 64 + 48
Area = 112 of both figures <<<< Answer
Answer:
v=15.625ft³ or 15.63ft³
Step-by-step explanation:
v=s³
v=2.5³
v=15.625
round off to the nearest hundredth
v=15.63ft³
Answer:
-9x - 14
Step-by-step explanation:
Distribute (multiply) the 1/4 to everything in the parentheses.
1/4 * 4x = 1x or x 1/4 * -8 = -2
Then you distribute (multiply) the -2 to everything in the parentheses.
-2 * 5x = -10x -2 * 6 = -12
Then you put the equations together.
x - 2 - 10x - 12
Then you combine like terms.
x - 10x = -9x -2 - 12 = -14
Finally you get your answer in simplest form.
-9x - 14
Answer:
No, does not differ.
Step-by-step explanation:
Given that there are two intersections route 7 and route 62.
At the intersection of Route 7 and North Shrewsbury in Clarendon, Vermont, 154 vehicles were observed to encounter a yellow light in the indecision zone, and 21 of them ran the red light. At the intersection of Route 62 and Paine Turnpike in Berlin, Vermont, 183 vehicles entered the intersection in the indecision zone, and 20 ran the red light.
Let p1 be the first proportion and p2 the second
We want to test whether these two proportions differ

(two tailed test at 5% significance level)
test statistic = 

Z statistic = 
p value = 0.4473
Since p >0.05 accept null hypothesis.
There is no significant difference and the proportion of redlight runners does not differ between the two intersections