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Alex787 [66]
3 years ago
5

A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

Hypotenuse≈12.21

Step-by-step explanation:

\sqrt{7^{2} +10^{2} }   ≈12.21

to calculate this you would need to find the square root of the first leg squared added to the second leg squared.

the hypotenuse is the longest side of the triangle

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Answer:

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Step-by-step explanation:

you find the L.C.M for all the fractions and multiply it. You should end up with whole numbers.

It should look like this

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8 0
2 years ago
The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o
True [87]

Answer:

Volume: 52 Units Squared

Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

5 0
3 years ago
Determine the dimensions of a rectangular solid (with square base) with a maximum volume if its surface are is 337.5 square cent
juin [17]
The question is asking to determine the dimension of a rectangular solid with a maximum volume if its surface area is 337.5 square centimeters and base on my further computation, I would say that the answer would be x= sqrt 56.25 and y = 7.5 and having a maximum volume of 421.875. I hope this would help 
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3 years ago
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pshichka [43]

Answer:

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3:11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Enter the value of x that makes the equation - 15(x + 11) + 14x = -60 true.
eimsori [14]

Answer:x=-105

Step-by-step explanation:-15x-165+14x=-60<=>-15x+14x=-60+165<=>-x=105<=>x=-105

8 0
3 years ago
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