15 points please help :")
2 answers:
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Answer:
Step-by-step explanation:
In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:
where c is the hypotenuse.
We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.
In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:
which gives us
443 + 289 = 576, but 732 does not equal 576, so that one is not right.
In the second set, the sqrt of 725 is the longest side, so that formula is:
which gives us
725 = 196 + 529, and 725 does equal 725, so that one is right.
In the third set, the sqrt of 890 is the longest side, so:
, which gives us
890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.
Answer:
B.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
- The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
- The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
=
= (1/3*h*π ) / ( 1/3*h*4
)
= π/4
S we can conclude that the volume of the cone equals π/4 the volume of the pyramid
Hope it will find you well.
