Answer:
The length of the wooden board is about 12.2 feet.
Step-by-step explanation:
Please refer to the diagram attached below.
The base of the board forms a 35° degree angle with the ground.
And we want to find the length of the wooden board.
Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:
![\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%28%5Ctheta%5E%5Ccirc%29%3D%5Cfrac%7B%5Ctext%7Badjacent%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D)
The adjacent side is the distance from the wall to the board, which is 10 feet.
And the angle made is 35°.
The hypotenuse is the length of the wooden board. Therefore:
![\displaystyle \cos(35)=\frac{10}{\ell}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Ccos%2835%29%3D%5Cfrac%7B10%7D%7B%5Cell%7D)
Solve for the length. Cross-multiply:
![\displaystyle 10=\ell \cos(35)](https://tex.z-dn.net/?f=%5Cdisplaystyle%2010%3D%5Cell%20%5Ccos%2835%29)
Therefore:
![\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cell%3D%5Cfrac%7B10%7D%7B%5Ccos%2835%29%7D%5Capprox12.2)
The length of the wooden board is about 12.2 feet.
Answer:
9+20t
Step-by-step explanation:
Look at the terms and see which has t and which is a number when you see like terms, add them or subtract them together to get like terms.
Answer:
1176
Step-by-step explanation:
All you have to do is add 1168 plus 38 would be 1176.
You have to find the area of the four triangles which is the perimeter of the base and multiply. It by your height and your case you have to find out if it’s a slant height.
Answer:
11.2 hours or 11 hours 12 minutes
Step-by-step explanation:
In this question, we are to calculate the amount of time spent by Sara in attending meetings weekly.
In the question, we are made to understand that she attends a meeting at a rate of 0.28 multiplied by the total amount of time she works.
To get the time she attends the meeting, we only need to multiply the decimal by the number of hours she works
Mathematically that would be 0.28 * 40 = 11.2 hours per week
We might take it further to get the time in the format of hours and minutes. That would be 0.2 * 60 yo convert the hours to minutes. This gives 12 minutes .
She attends meeting 11 hours 12 minutes per week