Sorry I needed these points, I hope you figure it out !!
Answer:
<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>
Step-by-step explanation:
Suppose, the width of the rectangular tabletop is inch.
As the tabletop has a length that is twice it’s width, so the length will be: inch.
The tabletop measures 76 inches on its diagonal.
<u>Formula for length of diagonal of rectangle</u>:
So, the equation will be..........
Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.
The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.
Answer: 97.6 in3
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:
Volume of a cylinder: π (diameter /2) ^2 (height)
Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3
Volume of a cone = 1/3 π (diameter /2) ^2 (height)
V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3
Finally:
Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3
Feel free to ask for more if needed or if you did not understand something.
Answer:
24
Step-by-step explanation:
First we must recognize that this equation is a quadratic function, therefore we can use the quadratic equation and look only at the discriminate portion of that formula. However, before doing so we need to set up our equation by taking the 1 to the other side and so:
And we know that in general a quadratic function is such that:
And so our quadratic equation is:
But we only need to look at what's under the square root meaning:
This is our discriminant and since a=5, b=2 and c=-1 we have:
She was 13th from the bottom. 13/20 = 0.65 or 65% = 65th percentile