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Murrr4er [49]
3 years ago
15

TEMA: Propriedade de Potência e Multiplicação de Números Negativos e Positivos.

Mathematics
1 answer:
GalinKa [24]3 years ago
7 0
The correct answer is 34
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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

5 0
4 years ago
what is the area of the figure 26.8square meters 38.8square meters 43.2square meters 50.8square meters​
Sveta_85 [38]

Answer:

Choise B..... 38.8

Step-by-step explanation:

trust

3 0
3 years ago
What is another what to write 9x 200
Snezhnost [94]
200x 9, nine times two hundred,
3 0
3 years ago
Read 2 more answers
Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Alexeev081 [22]

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

5 0
3 years ago
I want to know how to find a vertex of a graph?
IceJOKER [234]

Answer:

To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.

7 0
3 years ago
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