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Roman55 [17]
3 years ago
15

Find the volume of the square pyramid showing. round to the nearest 10th if necessary

Mathematics
1 answer:
solong [7]3 years ago
5 0
The volume of a square pyramid is (1/3)(area of base)(height of pyramid).

Here the area of the base is (10 ft)^2 = 100 ft^2.

13 ft is the height of one of the triangular sides, but not the height of the pyramid.  To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft.  That "middle" is 5 units straight down from the upper vertex.  Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft).  What is the height of the pyramid?  
To find this, use the Pyth. Thm.:  (5 ft)^2 + y^2 = (13 ft)^2.  y = 12 ft.

Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
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Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences. ​
Andrew [12]

Answer:

no it is not the same.

Step-by-step explanation:

it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.

4 0
3 years ago
A line includes the point (7,5)has a slope of 1.What is its equation in slope intercept form?
Lina20 [59]

Given:

Point( 7, 5)

x = 7 and y=5

slope(m) = 1

We need to first find the intercept.

Substitute x=7, y=5 and m=1 into y=mx + b and solve for intercept(b)

5 = 1(7) + b

5 = 7 + b

5 - 7 = b

-2 = b

Now, form the equation by substituting the value of the slope and intercept into y=mx + b

y = x - 2

7 0
10 months ago
What is 29/4 simplyfied?
Mars2501 [29]

Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

28/4 = 7

1/4 = 0.25

7 + 0.25 = 7.25

5 0
3 years ago
Read 2 more answers
The sky ride at an amusement park spans 4 x 10 feet. Over the course of the day, Anna rode the sky ride 7 times. How many feet d
Furkat [3]
This question tells that the sky ride is a rectangle.
This means the perimeter or the total distance round the figure = 2L + 2B
= 2(4)+ 2(10)
=8+20
=28 feet
Anna rose 7 times
Distance rode= 7(28)
=196 feet
8 0
2 years ago
Need some answers for this one
Schach [20]

Answer:

20.6

Step-by-step explanation:

Since the diameter of each circle is 4, the dimensions of the rectangle is 8x12

The area of the whole rectangle is 96

Now we need to find the area of the circles

The area of 1 circle is 2^{2} *\pi =12.56...

So the area of all 6 circles is 12.56*6= 75.39...

So to find the area of yellow you have to subract the area of circle from the overall area of the rectangle

96-75.4=20.6

4 0
3 years ago
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