Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
Answer: Its will be 105
Step-by-step explanation: But this is how you get it 315 divided by 3 = 105 or 9x35=315 divided by 3 =105
Answer:
x = 9
Step-by-step explanation:
When doing these types of problems, the main goal is to get the variable by itself. Its kind of hard to explain with words so I will just use numbers.
15x + 14 = 149
(Subtract 14 on both sides. Remember, when you do something (Like subtracting, adding, etc.) on one side you have to do it to the other.)
15x + 14 = 149
-14 = -14
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15x = 135
(Divide 15 on both sides. Since we need to use inverse operation to cancel the 15 out, we would divide 15 on both sides.)
15x/15 = 135/15
x = 9
Hope this helps :)
Answer:
3 1/5 ft
Step-by-step explanation:
We can set up a proportion:
, where x is how long the pants are in real life
Cross multiply:
x = (2 2/7) * (1 2/5)
It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:
2 2/7 = 16/7
1 2/5 = 7/5
Now, put these back in:
x = (16/7) * (7/5) = 16/5 = 3 1/5
Thus, in real life, the pants would be 3 1/5 ft long.
Hope this helps!
The answer is a^2 and b^7.
You just right the number small at the right top corner of a and b.