solution:
One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30
According to Pythagoras,
C² = a² + b²
So,
(x +30) = x² + 90²
Use FOIL to expand the binomial:
x² + 60x + 900 = x² + 8100
60x = 7200
X = 7200/60
X = 120
Answer:
Step-by-step explanation:
The formula for a geometric sequence is
where n is the position number in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us,
n is 14, a1 is 5, and the common ratio (the number we multiply by each number to get to the next one in line) is -2.
and
and
so
Answer:
1. D) 75 inches
2. A) 27 square feet
Step-by-step explanation:
1. You need to convert 6 feet to inches. In one foot, there are 12 inches. Multiply 6 by 12 to find the number of inches in 6 feet. Add 3 inches to the product to find the total number of inches.
6 × 12 = 72
72 + 3 = 75
You will have 75 inches in total.
2. Use the formula to solve. You are given the base and the height already. Simply plug in and solve.
A = 1/2BH
A = 1/2(6)(9)
A = 3(9)
A = 27 ft²
The area is 27 ft².