Answer:
28.3 cm
Step-by-step explanation:
The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:
2•4.5•3.14 = 28.26 ≈ 28.3 cm
The answer to the question is (2,-2)
Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
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<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
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<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
Answer:
<u>310</u> tickets were sold in advance before school pay and <u>340</u> door tickets were sold in advance.
Step-by-step explanation:
Given:
Let number of tickets sold in advance be 'x'.
Cost of advance ticket = $3
Cost of door tickets = $5
Also given:
Thirty more tickets were sold at door in advance
Hence number of door tickets sold = 
Total Money Collected = $2630
Now we can say that Total Money Collected is equal to sum of number of tickets sold in advance multiplied by Cost of advance ticket and number of door tickets sold multiplied by Cost of door tickets.
Framing in equation form we get;

Solving the equation to find the value of x we get;

Combining the like terms we get;

Now Dividing 8 on both side using division property we get;

Substituting the value of x to find number of door tickets been sold.
number of door tickets sold = 
Hence, <u>310</u> tickets were sold in advance before school pay and <u>340</u> door tickets were sold in advance.