X = small van capacity, y = larger van capacity
y = x + 6
2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17
y = x + 6
y = 17 + 6
y = 23
small van (x) has 17 seats and large van (y) has 23 seats
So really all you have to do is simply the expressions on top to match them.
Starting with (4t-8/5)-(3-4/3t), distribute the negative sign to the right portion in parentheses, then distribute it all out and you will get 16/3t- 23/5
Basically, use distribution to simplify, here's all the matches:
(4t-8/5)-(3-4/3t) --> 16/3t- 23/5
5(2t+1)+(-7t+28) --> 3t+33
(-9/2t+3)+(7/4t+33) --> -11/4t+36
3(3t-4)-(2t+10) --> 7t-22
We have three similar triangles, let's see if we can get this right, right vertex first, then other vertex from small side:
EDF ~ GDE ~ GEF
As ratios that means
ED:DF:EF = GD:DE:GE = GE:EF:GF
x:20:y = 5:x:GE = GE:y:15
Since we're after y we choose
20/y = y/15
20(15) = y²
y² = 300
y = 10√3
y ≈ 17.32
Answer:
502 Square Meters
Step-by-step explanation:
Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.
Shown Below:
Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160
Back Surface is a rectangle, so area is 6 * 16 = 96
Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6
Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,
Left triangle = 0.5 * 10 * 6 = 30
Right triangle = 30
Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6
Rounded to nearest whole number, that is 502
The surface area = 502 m^2
Answer: 254.34
Step-by-step explanation:
3.14 • r^2
Radius = 9
9 • 9 = 81
81•3.14 = 254.34
