Answer:
x=40 degrees
Step-by-step explanation:
3x=120 (vertical angles)
solve: 3x=120
x=40
The graph can be divided into two shapes. A rectangle and a right triangle.
The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.
Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters
Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.
12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c
Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters
Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.
Answer:
Sum = 13+ 4i Difference = -5 - 8i
Step-by-step explanation:
Given complex number as (4 -2i) and (9 + 6i)
Sum of these complex number is
(4 -2i) + (9 + 6i) = ( 4 +9) + (6i -2i)
= 13 +4i
Difference of these complex number is
(4 -2i) - (9 + 6i) = (4 -9) - (2i +6i)
= -5 - 8i
Hence the sum and Difference of given complex numbers are
Sum = 13+ 4i Difference = -5 - 8i Answer
Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:
Where
therefore:
Answer:
sorry I don't know the answer
