Answer: the value of x is 8, the measure of angle A is 42, angles A and B are same side interior angles.
Step-by-step explanation:
12 1/4 feet wide stream so it is 1 feet and 9 inches shorter
Original Ratio of 1 in = 7 ft so 3 in = 21 ft
Now, New ratio 1 in = x ft so 3 in = 27ft
1/x = 3/27
cross multiply a/b = c/d ad = bc
1/x = 3/27
3x = 27
x = 9
1 in represents 9 ft
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height
volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume
Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this
cones and cylinders
</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>
</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height
substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
