A stone pyramid in Egypt has a square base that measures 160 m on each side. The height is 91 m. What is
2 answers:
You might be interested in
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
54 79 100 70 75 56 88
55 78 75 55 72 60 80
55 88 80 85 69 71 60
90 64 77 88 65 102 70
Class____frequency____cumulative frequency
54 - 63_____7_____________7
64 - 73_____7_____________14
74 - 83_____7_____________21
84 - 93_____5_____________26
94 - 103____2_____________28
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is 
, the volume of a pyramid/cone is 
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
Write the equation of the first train: x = 12t
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get
<span>The Hyde has flown 108 km when the trains meet.</span>
Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0.
Now solve the equation: 12t=-20t+72,
32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours.
Now the equation of the <span>pigeon is like this: x = 48t.
</span>Then for t = 2.25, we get
<span>The Hyde has flown 108 km when the trains meet.</span>