All but the first should be linear. Im questionable about the last one but the other 2
should definitely be linear
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
Answer:
84
Step-by-step explanation:
because the top and bottom lines are parallel, we can conclude that the 2 triangles (top and bottom) are similar triangles. This means the sides lengths of smaller triangle is proportional to the respective sides on the larger triangle. With this, we can form the following equation:
x/48 = 21/12 (multiply both sides by 48)
x = (21/12)· 48
x = 21 ·4
x = 84
Using the law of cosine for Triangle KJL, we can write:
![j^{2} = k^{2} + l^{2}-2(k)(l)cos(J) \\ \\ 2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\ \\ cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}](https://tex.z-dn.net/?f=%20j%5E%7B2%7D%20%3D%20k%5E%7B2%7D%20%2B%20l%5E%7B2%7D-2%28k%29%28l%29cos%28J%29%20%20%5C%5C%20%20%5C%5C%20%0A2%28k%29%28l%29cos%28J%29%3Dk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%20%5Cfrac%7Bk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%7D%7B2%28k%29%28l%29%7D%20%20)
Using the values of k,j and l, we can write:
![cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)} \\ \\ cos(J)= 0.664 \\ \\ J= cos^{-1}(0.664) \\ \\ J=48.39](https://tex.z-dn.net/?f=cos%28J%29%3D%20%5Cfrac%7B%204%5E%7B2%7D%20%2B%20%282.89%29%5E%7B2%7D%20-%203%5E%7B2%7D%20%7D%7B2%284%29%282.89%29%7D%20%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%200.664%20%5C%5C%20%20%5C%5C%20%0AJ%3D%20cos%5E%7B-1%7D%280.664%29%20%5C%5C%20%20%5C%5C%20%0AJ%3D48.39%20)
Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
Answer:
im sorry, the answer to what?