Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
-18 + 9 = -9
-9 = -9
If you're looking for false or true.
The answer would be true
We need to find out how much is worth one yard in both fabrics, so we divide $15.00 by 2 and $37.50 by 5:
$15.00 ÷ 2 = $7.50 per yard
$37.50 ÷ 5 = $7.50 per yard
As both prices per yard are the same, the answer is: <span>Yes, these fabrics have the same unit cost.</span>
Answer:
$56.875
Step-by-step explanation:
Given that :
Amount invested = principal, p = 3500
Interest rate, r = 6.5% = 0.065
Penalty on withdrawal = 3 month simple interest
Simple interest = principal * rate * time
Time = 3 months = 3/12 = 0.25 years
Hence,
Simple interest = 3500 * 0.065 * 0.25
Simple interest = $56.875
Hence, penalty paid = $56.875
Answer:
Step-by-step explanation:
20/100 * 5,120 = 1024
Number of cases in 2013 = 1024 + 5120 = 6,144 cases
