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1 year ago

Which side lengths form an obtuse triangle? 0 28, 96, 100 O 40, 75, 85 O 17, 18, 19 O 2, 5,8 O 4, 5, 6

Mathematics

1 answer:

Eddi Din [679]1 year ago

6 0

Solution

For this case in order to have an obtuse angle we need to satisfy this:

$c^2>a^2+b^2$

And we can verify that:

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Divide the total the lake holds by the number of days:

400 million / 25 days = 16 million gallons per day.

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3 years ago

Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

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3 years ago

Eli and Karl each throw a basketball straight up in the air at the same time. Eli is standing on a deck and the height of his ba

tino4ka555 [31]

We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

$-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\ \\ 
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Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

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For Karl:
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Thus height of both basketball is equal after 1.25 seconds

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3 years ago

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Since the line crosses the Y axis below 1 and raises going to the right it would be y=1/3(4)^x

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3 years ago

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