Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Answer:
Derik finished first
Step-by-step explanation:
Derik = 35 1/6 = 35.10
other girl = 35.25
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Answer:
aₙ = (-1)ⁿ2(3)ⁿ⁻³
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
We can get the value for r by dividing aₙ by aₙ₋₁.
a₄/a₃ = 6 ÷ (-2)
a₄/a₃ = -3
r = -3
=====
a₁ = -2/9
aₙ = (-2/9)(-3)ⁿ⁻¹
aₙ = (-2/3²)(-3)ⁿ⁻¹ Factor out the 3s from the 9
aₙ = -2(3²)(-1)ⁿ⁻¹(3)ⁿ⁻¹ Factor -1 from and -3
aₙ = (-1)(2)(-1)ⁿ⁻¹(3)ⁿ⁻³ Combine like terms
aₙ = 2(-1)ⁿ⁻²(3)ⁿ⁻³ Multiply the -1 term by (-1)² (=1)
aₙ = (-1)ⁿ2(3)ⁿ⁻³
The (-1)ⁿ term makes the terms alternately positive and negative.
