Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:
Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:
Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:
Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:
Therefore, the volume is 240 m³
When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)
Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12
By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.
Answer: b=12
0.25q + 0.1d = 4.95
d = 3q
0.25q + 0.1(3q) = 4.95
0.25q + 0.3q = 4.95
<u>0.55q</u> = <u>4.95</u>
0.55 0.55
q = 9
0.25(9) + 0.1d = 4.95
2.25 + 0.1d = 4.95
<u>- 2.25 - 2.25</u>
<u>0.1d</u> = <u>2.7</u>
0.1 0.1
d = 27
To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.The z*-score for a 90% confidence level is 1.645.The margin of error is 0.20.The confidence interval is 48.3 to 48.7.48.8 is not within the confidence interval.
