Answer:
Total surface area = 184.86 cm²
Step-by-step explanation:
If we see the the diagram, we can find that the net of this triangular prism includes:
2 triangles each with the dimension of one side 4.3cm, second side 5.2cm and third side 6.75 cm
3 rectangles each with the dimensions of (6.75×10)cm, (5.2×10)cm and (4.3×10)cm
Surface area of triangle with a,b and c side:
s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)
Area = 11.18cm²
For 2 triangle:
Area = 22.36cm²
Surface Area of Rectangles:
Area = (6.75×10)cm + (5.2×10)cm + (4.3×10)cm
Area = 162.5 cm²
Total surface area = area of 2 triangle + area of 3 rectangles:
Total surface area = 22.36 + 162.5
Total surface area = 184.86 cm²
Answer:
y = 3x + 13
Step-by-step explanation:
Here, we want to solve for y
To solve for y, we simply are going to make y the subject of the formula
We have this as;
y - 3x = 13
y = 13 + 3x
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
72 yd / min
Step-by-step explanation:
The first thing is to fully calculate the distance traveled, each lap is 200 yards and how 6 laps would be:
200 * 6 = 1200
Now, let's divide the race into how the statement tells us:
1200 * 2/3 = 800
1200 * 1/3 = 400
That is, in the first 800 yards it goes to 80 yd / min and then in the remaining 400 yards it goes to 60 yd / min, let's calculate the time Rhea lasted:
800/80 = 10 min
400/60 = 6,667 min
Which means that in total it would be:
10 + 6,667 = 16,667
In other words, Rhea took 16,667 minutes to travel 1,200 yards, so the speed would be:
1200 / 16,667 = 72
Therefore the average Rhea speed was 72 yd / min
