It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.
The slope of the line is -1.2
The Y-intersect is (0, 4)
I have also attached an image of what the graph would look like.
Hope this helps.
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° = =
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor = ≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° = =
, thus
x = (
) ≈ 30° ( to the nearest degree )