Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
1.55%
Step-by-step explanation:
Fill in the values and solve for the rate using the future value formula.
FV = P(1 +r/n)^(nt)
4720 = 4300(1 +r/12)^(12·6)
(4720/4300)^(1/72) = 1 +r/12
r = 12(4720/4300)^(1/72) -1) ≈ 0.015542
The annual interest rate is about 1.55%.
Answer:
12.686cm
Step-by-step explanation:
By using pythagoras, we can find CB.
We know that 
Therefore, 
(it has to be positive since it is distance)
now we look at triangle BCD and use SOH CAH TOA.
-15 is the smaller number because the further you go into the negatives like -30, -47, -52; youre getting further away from 0 and after 0 are positive numbers so -15 would be the smaller number
Answer:
A and B and E
Step-by-step explanation:
because u always double check
