Answer: = −
6
.
5
Step-by-step explanation:
<h3>Answer:</h3>
6.8 inches
<h3>Explanation:</h3>
The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).
The Pythagorean theorem tells you
... PC² = PQ² +QC²
... PC² = 13² +9² = 250
... PC = √250 = 5√10 ≈ 15.8114 . . . . inches
The distance from P to the circle is 9 in less than this, so is
... 15.8114 - 9 = 6.8114 ≈ 6.8 . . . . inches
Answer:
a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are
200 adult tickets
400 student tickets
b) When 3 student tickets are sold for each adult ticket, the average seat price is
(3*$4.50 +7.50)/4 = $5.25
Then the shortfall in revenue is ...
$3,300 -480*$5.25 = $780
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
Answer:
8:45
Step-by-step explanation:
279 divided by 62 is 4.5
4.5 hours or 4 hours and 30 min plus 45 min break is 5 hours and 15 min
so need to leave by 8:45
