Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in
What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth
The picture of the question in the attached figure
we know that
If their cross-sectional areas are equal at every level parallel to their respective bases and the height is the same, then their volumes are equal
Equate the volume of the cone and the volume of the triangular pyramid
![\frac{1}{3}\pi r^{2}H=\frac{1}{3}[\frac{1}{2}(b)(h)H]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7DH%3D%5Cfrac%7B1%7D%7B3%7D%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29H%5D)
simplify

we have

substitute the given values

solve for x


Answer:
The actual distance between the historical markers is 18 miles.
Step-by-step explanation:
Given : On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.
To find : What is the actual distance between the historical markers?
Solution :
We have given that,
2.5 inches represents 10 miles.
i.e, 1 inch represent
miles.
1 inch = 4 miles.
Now, The distance between two historical markers is 4.5 inches.
The actual distance between the historical markers in 4.5 inch is


Therefore, The actual distance between the historical markers is 18 miles.
There would be 6 shapes, and it would depend on what those shapes are since you wouldn't know the measurements.
Answer:
-7/6
Step-by-step explanation:
To evaluate this, start by turning each into improper fractions.
3 1/2 - 4 2/3
7/2 - 14/3
Now give both common denominators and complete the operation.
7/2 - 14/3
21/6 - 28/6
-7/6