<u>Given:</u>
It is given that the ridge is 360 inches tall.
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is
inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.



So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.
The largest number of caps Laura can purchase is 162.
x(number of caps)6 + 25 = c (cost)
(162)6 + 25 = 997
972 + 25 = 997
Hope this helps! <3
<u>Answer:</u>
x = 2, x = -3
<u>Step-by-step explanation:</u>
We are given the following quadratic equation and we are to solve it for x:

We need to find such factors of -6 that when added give a result of 1 and when multiplied, give a product of -6.




x = 2, x = -3
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x =
, y = 12, then
k =
=
= 12 × 3 = 36
y = 36x ← equation of variation