ANSWER:
2.33 foot
STEP-BY-STEP EXPLANATION:
We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:
![\begin{gathered} \cos \theta=\frac{\text{ adjacent}}{\text{ hypotenuse}} \\ \theta=75\text{\degree} \\ \text{ hypotenuse = 9 foot} \\ \text{adjacent = x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20%5Ctheta%3D%5Cfrac%7B%5Ctext%7B%20adjacent%7D%7D%7B%5Ctext%7B%20hypotenuse%7D%7D%20%5C%5C%20%5Ctheta%3D75%5Ctext%7B%5Cdegree%7D%20%5C%5C%20%5Ctext%7B%20hypotenuse%20%3D%209%20foot%7D%20%5C%5C%20%5Ctext%7Badjacent%20%3D%20x%7D%20%5Cend%7Bgathered%7D)
Replacing and solving for x:
![\begin{gathered} \cos 75=\frac{x}{9} \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%2075%3D%5Cfrac%7Bx%7D%7B9%7D%20%5C%5C%20x%3D9%5Ccdot%5Ccos%2075%20%5C%5C%20x%3D2.33%20%5Cend%7Bgathered%7D)
The distance would be 2.33 foot
Answer:
False
True
True
true
Step-by-step explanation:
65x+105=y
Substitute 6 for x to find the cost for 6 classes
65(6)+105=y
390+105=y
495=y
The answers are
x=5
n=3
y=4
k=-80
Answer
about 4 hours and 20 minutes
Step-by-step explanation:
200 divided by 60 is 3.33 or 3 hours and 20 minutes, plus the extra hour
You need to move the decimal point to be at 1.
Since this is a decimal, the power will be negative.
I had to move the decimal 6 places.
So,
1^-6
I hope this helps!
~kaikers