Let x and x+1 represent the consecutive integers, then x is the other leg and x+1 is the hypotenuse (because the hypotenuse must be greater than its sides).
Use Pythagorean Theorem:
a² + b² = c²
(77)² + x² = (x+1)²
5929 + x² = x² + 2x + 1
5928 = 2x
2964 = x
x+1 = 2965
Answer: The other leg is 2964 m and the hypotenuse is 2965 m
Answer:
$120
Step-by-step explanation:
Let the initial value of bond be $X
The future value of any bond is calculated by formula
FV= PV(1+r)^n
where
- FV is future value of bond
- PV is present value of bond
- r is the rate that at which value of bond appreciate
- n is the number of years of maturity
In the problem given
FV= $146
r = 4% = 0.04 (dividing 4 by 100 we get 0.04)
n = 5
substituting these value in formula
PV =$X = $120
Hence current value of bond is $120.
The equation, dividend, is written below,
x³ - 7x - 6
The divisor from the given is x - 4. If we are to convert this to equation, we have x = 4. In order to determine the answer to the question above, that is the remainder for the division operation, we substitute the x's of the dividend with 4.
R = (4)³ - (7)(4) - 6 = 30
The answer is the third choice, 30.
Answer:
A
Step-by-step explanation:
Answer:
B, C, and D
Step-by-step explanation: I am not sure but I do know this nswer because i took the test.
