Answer:
33.6
Step-by-step explanation:
As we can see in the graph, the points:
- P is located at (-2, 8)
- Q is located at ( 6, 8)
- R( is located at (6, 2)
- S is located at (-5, 0)
To find a distance between two points or the length of the segment, we use the following formula:
![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D)
Because the two points P and Q are located at the same libe y = 8
=> the lenght of PQ = ![\sqrt{(6- (-2))^{2} } = \sqrt{8^{2} } = 8\\](https://tex.z-dn.net/?f=%5Csqrt%7B%286-%20%28-2%29%29%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B8%5E%7B2%7D%20%7D%20%3D%208%5C%5C)
Because the two points R and Q are located at the same libe x = 6
=> the length of RQ =
The lenght of RS is:
=
The lenght of SP is:
= 8.5
=> the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP
= 8+6+11.1+8.5
= 33.6
Set up the ratio for N.A butterflies to S.A butterflies: 5/3=30/x. Solving for x, you get that there are 18 S.A butterflies.
Set up the equation 3/2=30/x. Solving for x, you get that there are 20 European butterflies.
4n-5=3n+2
subtract 3n from each side
4n -5 -3n = 3n +2 -3n
n -5 = 2
add 5 to each side
n-5+5 = 2+5
n = 7
To solve a equation with a variable, you need to get the variable alone. I got the variable on the left hand side and the constants on the right hand side
Answer:
22.9 yards
Step-by-step explanation:
Since b² = a² - c² where a = vertex of major axis, 2a = 50 yards the length of the major axis. So , a = 50/2 = 25 yards. c = focus of chamber = 10 yards from center and b = vertex of minor axis.
So, b = ±√(a² - c²)
= ±√(25² - 10²)
= ±√(625 - 100)
= ±√525
= ±22.91 yards
≅ ± 22.9 yards
Since b = length of minor axis from center of chamber = 22.91 yards. So, he should build the whisper chamber 22.9 yards out from the center of the chamber.
Answer:
$27.2
Step-by-step explanation:
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.
This is explained in the calculation below
= A cake that costs $32 is on sale for 15% off
The amount off the cake is calculated as
= 15% of $32
= 15/100 × 32
= $4.8
The amount he is paying for the cake =>$32 - $4.8
= $27.2
The above expression is obtained as
(0.85).32
= (100% - 15%) × 32
=( 1 - 0.15) × 32
= 0.85 × 32
= $27.2
The final price of the cake = $27.2