Answer:
The answer is a= 128.95 and b = 14.75
Step-by-step explanation:
Solution
Given
let the equation of the hyperbola be denoted as x2/a2 - y2/b2 = 1 here, we will consider the foci on the x-axis. All units are considered to be in mm.
From question stated, with x and y coordinates represents height and radius respectively,
Then,
When x = 83 + a, y is = 45/2 = 22.5 and
At x = 180 + a, y is = 57/2 = 28.5
It is important to know that, the height is estimated from the focus so we a a is included to the heights.
Thus,
(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1
By using a calculator we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
Answer:
Answer in explanation
Step-by-step explanation:
In this question, we would be examining the validity of some statements on the number π(pi)
π Is a whole number?
This is wrong, π is a fraction of 22 to 7 parts I.e 22/7
π Is double the radius?
This is wrong. It is the diameter that is double the radius
π Is approximately 3.14?
This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct
π represents the ratio of the circumference of the circle to the diameter?
This is correct.
Mathematically, circumference C = π * diameter D
Hence C/D = π
π Is approximately 22/7?
This is correct. This is the ratio used for π
Answer:
- $5000 in the first city
- $4000 in the second city
Step-by-step explanation:
Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...
... 7.5%·x +5%·(x -1000) = 575
... 12.5%·x = 625 . . . . simplify, add 50
... x = 5000 . . . . . . . . divide by 12.5% (=0.125)
The first-city charge was $5000; the second-city charge was $4000.
Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
Answer:
$15.25
Step-by-step explanation:
$7.50+$4.85+$12.25 +$9.00 +$8.15 = $41.75
$28.50*2 = $57.00
So, he needs $57.00- $41.75 = $15.25 more
