Answer:
<h2>The solution is -9 < x < 17.</h2>
Step-by-step explanation:
|x-4|<13.
The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.
Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.
Answer: $1846.64
Step-by-step explanation:
Given : The average summer vacation costs $2252.
If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-
![82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64](https://tex.z-dn.net/?f=82%5C%25%5Ctext%7B%20of%20%7D%5C%242252%5C%5C%5C%5C%5Ctext%7BConvert%20percent%20into%20fraction%20by%20dividing%20it%20by%20100%2C%20we%20get%7D%5C%5C%5C%5C%3D%5C%24%5B%5Cdfrac%7B82%7D%7B100%7D%5Ctimes2252%5D%5C%5C%5C%5C%3D%5C%24%5B%5Cdfrac%7B184664%7D%7B100%7D%5D%5C%5C%5C%5C%3D%5C%241846.64)
Therefore the amount of the vacation cost is charged= $1846.64
Step-by-step explanation:
1.


Therefore,

2.


Use the identity

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

Solving for tan x:

Answer:
175 students walk to school
Step-by-step explanation:
300+250+325=875
20% of 875 is 175