<span>The question asks to find what percent of the total cost was the price of the file set. Total cost was: $62 + $9 + $4 = $75. Now the total cost ( $75 ) represents 100% and the price of the file set ( $9 ) represents x %. When we make a proportion - 75 : 9 = 100 : x. 75 x = 9 * 100, 75 x = 900; x = 900 : 75; x = 12%. Answer: The file set was 12% of the total cost.</span>
70* 4.5
Your distance is 315 miles
Rather than solve the entire problem for you, I'll give you some hints to help you get started:
1. The amplitude of your sinusoidal graph is |3|, or just 3.
2. Because of that, your graph begins at the point (0,3).
3. Because this is the cosine function, your graph descends from (0,3) to y=3 and then begins to ascend (back to y=3).
4. The coefficient of x is "one half pi," or pi/2. Call this "b".
5. The period of your function is 2pi/b. Here, b=pi/2.
Dividing, [2pi]/[pi/2] = 4.
6. Mark your horizontal axis as follows: x=0, 4, 8, 12, 16, ...
7 Draw one cycle of the cosine function with amplitude 3. It must begin at (0,3) and end at (4,3) (which covers one period).
8. Draw another cycle or two, beginning at (4,3) and ending at (8,3), and so on.
Answer:
120 Degrees
Step-by-step explanation:
Angle T and R are vertical angles meaning they are equal so combine the equations: 31x - 4 = 29x + 4, then solve using inverse operations
subtract 31x from both sides to get -4 = -2x + 4
Then subtract 4 from both sides to get -8 = -2x, now that we have isolated the variable we have to divide by -2 on both sides getting us x = 4, then plug in the four to the equation for angle R getting you 29 times 4 which equals 116 + 4 = 120
8x-4=180°
8x=184°
x=23
Large angle= 7(22)-15= 146°