The temp decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3- hour period.
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
No, because you would round up if the number to the right of the ten thousand place was at least five you would round up but since it's only three you would round the number to 760,000
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
Answer:
D. 76.5
Step-by-step explanation:
The summation sign means that it is the sum of the expression for all values of n upto 6.
n = 2 below the summation sign means that n starts from 2.
∑(n-1)!/2 from n= 2 to n=6
= (2-1)!/2 + (3-1)!/2 + (4-1)!/2 + (5-1)!/2 + (6-1)!/2
= 1!/2 + 2!/2 + 3!/2 + 4!/2 + 5!/2
= 1/2 + 2*1/2 + 3*2/2 + 4*3*2/2 + 5*4*3*2/2
= 1/2 + 2/2 + 6/2 + 24/2 + 120/2
= 0.5 + 1 + 3 + 12 + 60
= 76.5
