Add the pic and I’ll be able to answer it
Answer:
a. 7/10
b. 79/240
Step-by-step explanation:
Please see the attached files for details
<u>Given</u>:
The given triangle QPO is a right triangle.
The length of QP is 5 units.
The length of OP is (x + 5) units.
The length of QO is (x + 6) units.
We need to determine the hypotenuse of the triangle QPO.
<u>Value of x:</u>
The value of x can be determined using the Pythagorean theorem.
Thus, we have;
![QO^2=QP^2+OP^2](https://tex.z-dn.net/?f=QO%5E2%3DQP%5E2%2BOP%5E2)
Substituting the values, we get;
![(x+6)^2=5^2+(x+5)^2](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%3D5%5E2%2B%28x%2B5%29%5E2)
Expanding, we get;
![x^2+12x+36=25+x^2+10x+25](https://tex.z-dn.net/?f=x%5E2%2B12x%2B36%3D25%2Bx%5E2%2B10x%2B25)
Adding the like terms, we get;
![12x+36=10x+50](https://tex.z-dn.net/?f=12x%2B36%3D10x%2B50)
![2x+36=50](https://tex.z-dn.net/?f=2x%2B36%3D50)
![2x=14](https://tex.z-dn.net/?f=2x%3D14)
![x=7](https://tex.z-dn.net/?f=x%3D7)
Thus, the value of x is 7.
<u>Length of the hypotenuse:</u>
The hypotenuse of the triangle QPO is QO.
Substituting x = 7 in the length of QO, we get;
![QO=7+6](https://tex.z-dn.net/?f=QO%3D7%2B6)
![QO=13](https://tex.z-dn.net/?f=QO%3D13)
Thus, the length of the hypotenuse is 13 units.
Hence, Option D is the correct answer.
Answer:
We get that the 165.1% of 333 is 333 • 1.651 = 549.78
Step-by-step explanation:
1. They are asking for the 165.41%
2. So, we need to multiply 333 by the representation of 165.1% in decimal by doing the multiplication using a calculator