Answer:
9841
Step-by-step explanation:
Each time the number of shaded triangles is multiplied by 3. So this is a geometric series:
an = 1 (3)ⁿ⁻¹
The sum of the first n terms of a geometric series is:
S = a₁ (1 - rⁿ) / (1 - r)
Here, a₁ = 1, r = 3, and n = 9.
S = 1 (1 - 3⁹) / (1 - 3)
S = 9841
Answer:
z=40 degrees
Step-by-step explanation:
a triangle is 180 degrees
<ACB=50 (180-130=50)
50+90=140
180-140=40
Answer:
A. 7x+11
Step-by-step explanation:
You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=
= c
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.