Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the prism,expressed as a fraction in simplest form,is . There are no choices. :/
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but then I fixated it with my steely burning gaze and it fell apart for me.
The volume of a pyramid is (1/3) (base area) (height)
Each of these pyramids has the same base area and the
same height, so ...
Volume of the lower pyramid = (1/3) (base area) (height)
Volume of the upper pyramid = (1/3) (base area) (height)
Combined volume of both pyramids = (2/3) (base area) (height) .
Now, how do the pyramids relate to the rectangular prism ?
Their base area is (length x width) of the prism, and
their height is (1/2 the height) of the prism.
From here, we'll work with the dimensions of the prism ... L, W, and H .
Combined volume of the pyramids = (2/3) (L x W) (1/2 H)
= (1/3) (L x W x H) .
Volume of the prism = (L x W x H)
The pyramids occupy 1/3 the volume of the prism.
The ratio is 1/3 .
Answer:
Answer 1/3
Step-by-step explanation:
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Final answer:
The complement of 109° degrees is -19°
Explanation:
The complement of an angle is the difference between 90 degrees and the given angle. In this case, the complement of 109 degrees would be 90 - 109 = -19 degrees.
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4/1 × 2/2 = 8/2
There are 8 cups in 2 quarts.
Round your answer to the nearest tenth.
HELP PLEASE
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The required 6 kilometers in miles is given as 3.6 miles.
Given that,
To Value of 6 kilometers in miles is to be determined.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 km = 0.6 mi,
multiply both sides by 6
6 km = 3.6 mi
Thus, the required 6 kilometers in miles is given as 3.6 miles.
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y=childern
x+y=90
24.50x+13.75y=1560
so
mutliply the first equation by -13.75 and add to second equaiton
-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323
10.75x=322.5
divide both sides by 10.75
x=30
x=30
sub back
x+y=90
30+y=90
minus 30 both sides
y=60
x=30
y=60
30 adults
60 kids