Answer:
b=4.5
Step-by-step explanation:
4b+4=22
4b=22-4
4b=18
b=4.5
When you use F.O.I.L. on problems you get an answer that looks like this; ax^2 + bx + c. The middle term is bx. To find this term we solve out by multiplication. so x*x + 5*x + 2*x + 5*2 or x^2 + 7x + 10, so the middle term is 7x.
To find how much each percentage is you need to make each one a fraction so 3/100 x 26000/1 your answer is 780 for 3 percent so her first raise makes it 26780 and 26000 plus 26780 is 52780 then keep adding 780 to 26000. So your answer would be A i think
Answer:
![\cos(\theta)=\frac{4}{5}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%3D%5Cfrac%7B4%7D%7B5%7D)
Step-by-step explanation:
Step 1:
Let us find the missing side. We know this is a <u>right triangle</u>, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable <em>a</em>, 20 as variable <em>c</em>, and the unknown side as variable <em>b</em>.
![a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C12%5E2_b%5E2%3D20%5E2%5C%5Cb%5E2%3D400-144%5C%5Cb%5E2%3D256%5C%5Cb%3D%5Cpm16)
We do know that a <u>length can never be negative</u>, so the side <em>b</em> would be 16.
Step 2:
According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:
![\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%5C%5C%5Ccos%28%5Ctheta%29%3D%5Cfrac%7B16%7D%7B20%7D%20%5C%5C%5C%5C%5Ccos%28%5Ctheta%29%3D%5Cfrac%7B4%7D%7B5%7D)
<em>I hope this helps! Let me know if you have any questions :)</em>