The numbers that are called in multiplication are called factors. Multiplying factors together will create a product.
The line that is perpendicular to the line on the graph is y=3
<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.
![cos \theta = \frac{adjacent side}{hypotenuse} .](https://tex.z-dn.net/?f=cos%20%5Ctheta%20%3D%20%5Cfrac%7Badjacent%20side%7D%7Bhypotenuse%7D%20.)
![cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.](https://tex.z-dn.net/?f=cos%20A%20%3D%20%5Cfrac%7B427%7D%7Bx%7D%20%2C%20x%20%3D%20%5Cfrac%7B427%7D%7Bcos60%7D%20%2C%20cos60%3D0.5.)
![x=\frac{427}{0.5} = 854.](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B427%7D%7B0.5%7D%20%3D%20854.)
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.
Answer:
From the analysis W1=W2.
they are directly related
Step-by-step explanation:
the work-done in stretching a spring can be expressed as
![W=\frac{1}{2}kx^2](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1%7D%7B2%7Dkx%5E2)
where k= spring constant
x= change on length of spring
Hence for W1
Given data
x= 34-24= 10 cm
solving in terms of k we have
![W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1%7D%7B2%7Dk%2A10%5E2%5C%5C%5CW%3D%5Cfrac%7B1%7D%7B2%7Dk%2A100%5C%5C%5CW%3D50k)
Hence for W2
Given data
x= 44-34= 10 cm
solving in terms of k we have
![W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1%7D%7B2%7Dk%2A10%5E2%5C%5C%5C%20W%3D%5Cfrac%7B1%7D%7B2%7Dk%2A100%5C%5C%5C%20W%3D50k)
Answer
3412
Step-by-step explanation: