Answer: Sorry, I’m lazy today so I’ll just answer the first question, letter a. The answer is 30 cups of red paint.
Step-by-step explanation: Since you need 2 cups of blue paint and 4 cups of red paint, the ratio of the amount of cups you need for each paint is 1 cup of blue for every 2 cups of red. You need 15 cups of blue so you multiply it by 2 and you get 30. I hope this wasn’t confusing and I hope this helps. Please listen to you teacher because it would really help you on your work.
<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![sin \ \theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
![sin \ x=\frac{23}{31}](https://tex.z-dn.net/?f=sin%20%5C%20x%3D%5Cfrac%7B23%7D%7B31%7D)
Dividing, we get;
![sin \ x=0.74](https://tex.z-dn.net/?f=sin%20%5C%20x%3D0.74)
Taking
on both sides of the equation, we get;
![x=sin^{-1}(0.74)](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%280.74%29)
![x=47.7](https://tex.z-dn.net/?f=x%3D47.7)
Rounding off to the nearest whole integer, we get;
![x=48](https://tex.z-dn.net/?f=x%3D48)
Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
The equation is given by:
![n = \frac{7}{10} \times 45.50](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B7%7D%7B10%7D%20%5Ctimes%2045.50)
Step-by-step explanation:
During last years's charity walk, she raised $45.50.
During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:
![n = \frac{7}{10} \times 45.50](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B7%7D%7B10%7D%20%5Ctimes%2045.50)