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
Answer:
3
Step-by-step explanation:
The sum of 165 and 633 will be
165+633=798
When the sum is reduced to 266, it means the sum is reduced by 798/266=3
The sum is reduced three times.
Therefore, as per the question, this sum was reduced three different times
<span>Let
CP ------> cost price
SP ------> Selling price
we know that
SP= CP + 0.45CP
Mark up = 0.45CP
Ratio of Mark up to Selling price-------> 0.45CP/(CP + 0.45CP)
= 0.45/(1+0.45)-------> </span><span>0.45/1.45=0.3103
</span><span>0.3103 multiplied by 100 = 31.03%
</span>
the answer is
31.03%
Answer:
$11
Step-by-step explanation:

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.
Note that loss is written in negative.

Stock ABC has an expected gain of $11.
Answer:
A. 0.69
Step-by-step explanation:
We need to use cosine theorem:
c²=a²+b² - 2ab* cos(θ)
c=8, a=7, b=11
8² = 7²+11² - 2*7*11 *cos(θ)
64 = 49 + 121 - 154*cos(θ)
64 - 170 = - 154*cos(θ)
- 106/ (- 154) = cos(θ)
cos(θ) = 0.69