Answer:
{0, 10, 42}
Step-by-step explanation:
<em>Domain is set of input values and range is set output values.</em>
For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}
<u>Range is:</u>
- f(-2) = 2(-2)² - 8 = 0
- f(3) = 2*3² - 8 = 10
- f(5) = 2*5² - 8 = 42
<u>Range:</u> {0, 10, 42}
tan ? = 22/48
tan ? = 11/24
tan ? = 0.4583
? = 24.62 degrees ( approximately )
I believe the correct answer from the choices listed above is option A. THe correct classification of the polygon in the figure would be a concave hexagon. Counting the number of sides, we have 6 sides making it a hexagon. It is concave since one side is <span>hollowed inward.</span>
Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
