∠B = 52°
Since the triangles are similar then
∠C = ∠S = 56°
∠B = 180° - (72 + 56)° = 52°
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
Im assuming the base of the triangle is 4cm. The volume is

.
If the dimensions are tripled, the base is 12, the height is 24, and the length is 18. The volume is

, which is 27 times bigger.
If you are increasing each side by a factor of x, you are multiplying the original by
Answer:
The answer is D: No solutions exist
Answer:
9Kg, 18Kg and 63 Kg
Step-by-step explanation:
Sum the parts of the ratio, 1 + 2 + 7 = 10 parts
Divide the weight of sand by 10 to find the value of one part of the ratio
90 Kg ÷ 10 = 9 Kg ← value of 1 part of the ratio, thus
2 parts = 2 × 9 Kg = 18 Kg
7 parts = 7 × 9 Kg = 63 Kg
Thus the weights of each bag are 9 Kg, 18 Kg and 63 Kg