Answer:
A) $525,000
B) $975,000
C) 35%
Step-by-step explanation:
To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.
To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.
Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
320 cubic feet
Step-by-step explanation:
The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.
4 × (80 ft³) = 320 ft³
The new volume of the pyramid is 320 cubic feet.
Answer:
2 hours and 15 minutes
Step-by-step explanation:
