Find the value of x.
2 answers:
Answer:
x = 6
Step-by-step explanation:
The segment from O to the chord is a perpendicular bisector.
The triangle formed is right with legs x and 8 and hypotenuse 10
Using Pythagoras' identity in the right triangle, then
x² + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take the square root of both sides )
x = = 6
You might be interested in
Answer:
12%
Step-by-step explanation:
The equation for the growth is ...
f(t) = (initial value)×(growth multiplier per period)^(number of periods)
where the growth multiplier is often expressed as a percentage added to 1:
multiplier = 1+r
growth rate = r
__
This equation has two unknowns:
- initial value
- growth multiplier
In order to find these, you can make use of two of the supplied data points. I like to choose the ones that are farthest apart, as they tend to average out any errors due to rounding.
Clearly, the table tells you the initial value is 210. If you don't believe, you can put the numbers in the equation to see that:
f(0) = (initial value)×(growth multiplier)^0
210 = (initial value)×1
(initial value) = 210
__
Using the last data point, we get ...
f(7) = 210×(growth multiplier)^7
464 = 210×(growth multiplier)^7 . . . . . . . . . fill in table value
2.209524 = (growth multiplier)^7 . . . . . . . divide by 210
You can solve this a couple of ways. My calculator is able to take the 7th root, so I can use it to find ...
Alternatively, you can use the 1/7 power:
2.209524^(1/7) = (growth multiplier)
Another way to solve this is to use logarithms:
log(2.209524) = 7×log(growth multiplier) . . . . . take the log
log(2.209524)/7 = log(growth multiplier) . . . . . divide by 7
0.04918553 ≈ log(growth multiplier)
growth multiplier = 10^0.04918553 ≈ 1.11992 . . . . take the antilog
So, our growth multiplier is ...
1 + r ≈ 1.11992
r ≈ .11992 ≈ 12.0%
The rate of growth is about 12% in each period.
_____
Collapsing all of that to a single calculation:
growth rate = (464/210)^(1/(7-0)) -1 ≈ 12.0%
<u>Answer: </u>
When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.
<u>Solution: </u>
Information provided in the question seems to be less . so assuming following two things.
1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.
2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is
When you buy 2 tees , n = 2
Price = p = n+5 = 2+5 = 7
Shipping charges =( ) x 2 =
So total price you pay for two tees = 7 + () = 7 + 3.3333 = 10.3333 unit price.
When you buy three tees , n = 3
Price = p = n+5 = 3+5 = 8
Shipping charges =( ) x 3 = 5
So total price you pay for two tees = 8 + 5 = 13 unit price.
When you buy four tees, n = 4
Price = p = n+5 = 4+5 = 9
Shipping charges =( ) x 4 =
So total price you pay for two tees = 9 + () = 47/3 = 15.667 unit price.
Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.