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DIA [1.3K]
3 years ago
15

Please help me out with this

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

6 in^2.

Step-by-step explanation:

The area of 2 similar figures are in the ratio of the squares of corresponding sides. So we have the equation:

3^2 / 6^2 = x / 24

9/36 = x /24

1 / 4 = x / 24

x =  24/4 = 6 in^2 (answer).

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The ratio of the sides of 2 cubes is 2 to 7. If the volume of the smaller cube is 32 u3, then the volume of the larger cube is _
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\bf \cfrac{small}{large}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{2}{7}=\cfrac{\sqrt[3]{32}}{\sqrt[3]{v}}\implies \cfrac{2}{7}=\sqrt[3]{\cfrac{32}{v}}\implies \left( \cfrac{2}{7} \right)^3=\cfrac{32}{v}&#10;\\\\\\&#10;\cfrac{2^3}{7^3}=\cfrac{32}{v}\implies v=\cfrac{7^3\cdot 32}{2^3}
5 0
3 years ago
Does a = 8 b=15 c=17 make a right triangle and why​
ArbitrLikvidat [17]
Ok so pythagorean theorem is
a^2+b^2=c^2
plug it in
8^2+15^2=17^2
64+225=289
289=289

yass it works so that means they do make a right triangle

yes, they make a right triangle because they're a pythagorean triple and pythagorean theorem works when you plug the numbers in.
4 0
2 years ago
A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows
jeka94

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : \small y = 129.122 \times (0.9742)^x

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

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