should be the right answer
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
answer
1385
explanation
to find the total, subtract the amount they earned by the amount they spend
total = earned - spent
earned
each week, Mr. Smith earns 1900 and and his earns 1150, so add these values together to find the total amount they earn
earned = 1900 + 1150
earned = 3050
spent
they spend money on food, gas, mortgage, and savings, so add these values together to find the total amount they spend
spent = food + gas + mortgage + savings
spent = 300 + 90 + 875 + 400
spent = 1665
total
now that we know how much they earn and spend, we can find the total
total = earned - spent
total = 3050 - 1665
total = 1385
every week they have 1385 left over
20:36 simplifies to 10:18 then to 5:6
