Here you go this is all you are doing
Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.
Answer:
8 hours
Step-by-step explanation:
First, let's find how much Bentley gets from clearing tables.
5 hours • $8 per hour = $40 total
We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.
$180 needed - $40 earned = $140 left to earn
We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.
$140 needed ÷ $18 per hour = 7.77...
We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.
5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max
It is possible to make $180 total from this work schedule, so your answer would be 8 hours.
we have the function

we know that
In the equation of the exponential function of the form

a is the initial value
b is the base
x is the exponent
The initial value is the value of the function when the value of x is equal to zero
in this problem
for 


the initial value is the point 
therefore
the answer in the attached figure
Answer:
The amount deductible by Shelley is $2,929
Step-by-step explanation:
Using the table below as the missing information:
Airfare to New Jersey $ 2,180
Meals $238
Lodging in New Jersey $432
Rental car $198
All the above expenses are fully deductible by Shelley except the meal which is half deductible.
Half of the meal expenses is:
= 238 / 2 = $119
So the amount deductible by Shelley is:
2180 + 119 + 432 + 198
= 2929
Therefore, the amount deductible by Shelley is $2,929