Given that the solids are similar, we have:
1. 5/3
2. 4/25
3. 512/13,824
<h3>What is the Volume and Surface Area of Similar Solids?</h3>
If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:
Surface area for A/Surface area for B = a²/b².
Volume for A/Volume for B = a³/b³.
1. If the two pyramids are similar, therefore:
Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)
Ratio of the height of larger to the smaller pyramid = 5/3
2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)
= ∛(8/125) = 2/5
Ratio of their surface area = 2²/5²
Ratio of their surface area = 4/25.
3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³
= 512/13,824
Learn more about similar solids on:
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Answer:
3ab
-------------------
(b+a)
Step-by-step explanation:
3/a - 3/b
-------------------
1/a^2 - 1/b^2
Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions
(3/a - 3/b) a^2 b^2
-------------------
(1/a^2 - 1/b^2) a^2b^2
3ab^2 - 3 a^2 b
-------------------
b^2 - a^2
Factor out 3ab on the top
3ab( b-a)
-------------------
b^2 - a^2
The bottom is the difference of squares
3ab( b-a)
-------------------
(b-a) (b+a)
Cancel like terms from the top and bottom
3ab
-------------------
(b+a)
Answer:
There are no simple factors to this expression. You can however solve for x, giving you:
x = -1 ± √(y + 3)
Step-by-step explanation:
There is no simple pair of factors to this equation, so we'll have to go through the full process. You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2. We can however solve for x:
<span><span>You draw a queen on the first draw and one on the second<span><span><span>4/52 </span>∗ <span>3/51 </span>= <span>12/2652 </span>= <span>1/22 </span></span></span></span><span>
You draw something other than a queen on the first draw and a queen on the second<span><span><span>
48/52 </span>∗ <span>4/51 </span>= <span>192/2652</span>=<span>16/221</span></span></span></span></span>
So in total, the chance is:
<span><span><span>1/221 </span>+ <span>16/221 </span>= <span>17/221</span>=
<span>4/52</span></span></span>
Answer:
7.6
Step-by-step explanation:
first you use the distance formula
after you plug in both points you should get the square root of 58 which would bring you to about 7.615 whixh would round to 7.6
