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blondinia [14]
3 years ago
9

I need help with this quickly

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
I'm pretty sure the right answer would be B

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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

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3 years ago
What is combined mean
FromTheMoon [43]
Combined in mathematics is to add together to find a total. If you combine 1 and 2 you get 3.
7 0
2 years ago
Good science requires that you record your observations accurately.<br><br><br><br> TrueFalse
enyata [817]

Answer:

True.

Step-by-step explanation:

6 0
2 years ago
Beginning at sunrise, the temperature rose 2.8 degrees per hour.
Dahasolnce [82]
19.18 / 2.8 = 6.85

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6 0
3 years ago
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Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.
gregori [183]

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

A=\frac{1}{2}\times a\times k

=\frac{1}{2}\times 6\times 9

=\frac{54}{2}

=27\text{ square cm}

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

L.A.=3\times\text{ The area of one lateral face}

=3\times 27

=81\text{ square cm}

5 0
2 years ago
Read 2 more answers
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