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
<span>Given
situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the
auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference
between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission </span>
Answer:
Step-by-step explanation:
given that tonya charges 20$ monthly fee and 3$ per mile of her dog-walking service.
and beth does not charge any monthly fee but charges 5$ per mile of the dog walked in.
let x be the number of miles dog has walked in a month.
the amount tonya will charge on x miles = fixed monthly fee + number of miles * charge per mile = 20+3x
and the amount beth will charge on x miles = 0+ 5*x = 5x.
we are asked to find the x-value for which beth chargeable amount = tonya chargeable amount
that is 5x = 20+3x
5x-2x = 20
2x=20
x=
hence number of miles for which tonya and beth will charge the same amount is 10.
Answer:
Do you happen to have the graph or anything to add to it? Because it is kind of difficult to see when it looks like that. I think it would be 11, 8, 5, and
y-2--3(x-3)
y+ 11 = 31-0)
y+ 1 =-3(x-2)
Y-1--31% +8)
y-11 =-3lx -0)
