Answer:
72
Step-by-step explanation:
l = 5w
A = l*w
180 = 5w *w
180 = 5w^2
Divide each side by 5
180/5 = 5w^2 /5
36 = w^2
Taking the square root of each side
sqrt(36) = sqrt(w)^2
6 =w
l = 5w = 5*6 = 30
The perimeter is
P = 2(l+w)
P = 2(6+30) = 2(36) = 72
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is ![\frac 1 2 bh = \frac 1 2 (6)(4) = 12](https://tex.z-dn.net/?f=%20%5Cfrac%201%202%20bh%20%3D%20%5Cfrac%201%202%20%286%29%284%29%20%3D%2012)
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
![A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7C%207%286%29-6%281%29%20%2B%201%282%29-6%284%29%20%2B%204%286%29-2%287%29%20%7C%20%3D%20%5Cfrac%201%202%20%7C24%7C%20%3D%2012)
Answer:
$5940
Step-by-step explanation:
19 groups = 19 x 300 = $5700
4 extra tickets = 4 x 60 = $240
$5700 + $240 = $5940
Total people going = 194
Answer:£24
Step-by-step explanation:
Let the total money be represented by Y
Total ratio =1+2=3
Krutika's share =1/3 × Y
8= 1/3×Y
Y=8÷(1/3)
Y= 8×3
Y=£24
The total Money they won was 24
Answer:
i think its b
Step-by-step explanation:
im so sorry if im wrong