To solve this, multiply the fractions by each other.
7/8*4/5
7*4=28
8*5=40
28/40
"B" would be the correct answer but, it the fraction should be reduced to 7/10.
Hope this helps!
-Benjamin
<u>Answer:</u>
75 ft
<u>Step-by-step explanation:</u>
Here we are given a right angled triangle with a known angle of 20°, length of the hypotenuse to be 80 and we are to find the length of the base x.
For that, we can use the formula for cosine for which we need an angle and the lengths of base and hypotenuse.
![cos \alpha =\frac{base}{hypotenuse}](https://tex.z-dn.net/?f=cos%20%5Calpha%20%3D%5Cfrac%7Bbase%7D%7Bhypotenuse%7D)
So putting in the given values to get:
![cos 20=\frac{x}{80} \\\\x= cos 20*80\\\\x=75.17](https://tex.z-dn.net/?f=cos%2020%3D%5Cfrac%7Bx%7D%7B80%7D%20%5C%5C%5C%5Cx%3D%20cos%2020%2A80%5C%5C%5C%5Cx%3D75.17)
Therefore, the value of x is the closest to 75 ft.
Answer:
Step-by-step explanation:
A, hope this helped, also can you look at the recent question i need help.
Answer:
The cost of hardbook is $9 and cost of paperback is $5.
Step-by-step explanation:
Let x be the price for hardback book and y be the price for paperback book.
Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.
We can write the equation as:
![42x + 64y = 698](https://tex.z-dn.net/?f=42x%20%2B%2064y%20%3D%20698)
He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.
We can write the equation as:
![42x + 58y = 668](https://tex.z-dn.net/?f=42x%20%2B%2058y%20%3D%20668)
We have to use the elimination method to solve the two equations.
We eliminate x by subtracting the two equations.
![42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9](https://tex.z-dn.net/?f=42x%20%2B%2064y-%2842x%20%2B%2058y%29%20%3D%20698%20-%20668%5C%5C%5CRightarrow%206y%20%3D%2030%5C%5C%5CRightarrow%20y%20%3D%205%5C%5C42x%20%2B%2064%285%29%20%3D%20698%5C%5C%5C%5C%5CRightarrow%20x%20%3D%20%5Cdisplaystyle%5Cfrac%7B698%20-%2064%285%29%7D%7B42%7D%5C%5C%5C%5C%5CRightarrow%20x%20%3D%209)
Thus, the cost of hardbook is $9 and cost of paperback is $5.