Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
![\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D%5Cdfrac%7BB%7D%7BH%7D%5C%5C%5C%5CB%3DH%5Ctimes%20%5Ccos%5Ctheta%5C%5C%5C%5CB%3D10%5Ctimes%20%5Ccos%2875%29%5C%5C%5C%5CB%3D2.58%5C%20m)
So, the base of the ladder is 2.58 m.
The expression which can be used to solve this problem is 5.50h + 1.5h.
Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,
5.50(44.5) = 244.75 Dollars.
Answer:
3/4 - 5/12
Step-by-step explanation:
first you make the demoninators the same so 3*4=12
and if you *3 you do it to the numerator
so its 9/12-5/12
the unsimplified fraction is 4/12
if wanted simplified version its 1/3
2x + 3y + 2(x - y) - 3x
First you apply the distributive property:
2x +3y + 2(x) - 2(y) - 3x
2x + 3y +2x - 2y - 3x
The you combine like terms:
2x + 2x - 3x +3y - 2y
4x - 3x + y
x (x could also be 1x) + y (y could also be 1y)
The answer is x + y or 1x + 1y