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stiv31 [10]
3 years ago
8

Answer in 5 min I GIVE U BRAINLIEST

Mathematics
2 answers:
telo118 [61]3 years ago
7 0

This is the formula of finding the hypotenuse: a² + b² = c².

So the legs would be a and b.

4² + 4² = c²

c² = 16 + 16

c² = 32

c = √32  (Option C)

erastovalidia [21]3 years ago
4 0

Answer:

Option C is correct.

Hypotenuse of a right triangle is, \sqrt{32} units.

Step-by-step explanation:

Given : In a right angle triangle if each of the two legs is 4 units.

The hypotenuse  is always opposite to the right angle and it is always the longest side of the triangle.

to find the hypotenuse of the right angle triangle.

We use Pythagoras theorem in right angle triangle;

Pythagoras theorem states that the square of the hypotenuse (the side opposite to the right angle) is always equal to the sum of the squares of the other two sides.

i.e, a^2+b^2 =c^2 where a , b are the two legs and c is the hypotenuse of the right angle triangle.

Since, it is given a = b = 4 units

then; by definition of Pythagoras theorem, to solve for c;

c^2 = 4^2+4^2

or

c^2 = 16+16 = 32

Simplify:

c = \sqrt{32} units.

Therefore, the hypotenuse of the right angle triangles is, \sqrt{32} units.



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The average number of traffic tickets issued in a city on any given day
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Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day  Sunday-Saturday  can be approximated by

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Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

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Substitute  x= 0

T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37

On Sunday 37 tickets were issued

Substitute  x= 1

T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115

On Monday 115 tickets were issued

Substitute  x= 2

T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181

On Tuesday 181 tickets were issued

Substitute  x= 3

T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235

On Wednesday 235 tickets were issued

Substitute  x= 4

T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277

On Thursday 277 tickets were issued

Substitute  x= 5

T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307

On Friday 307 tickets were issued

Substitute  x= 6

T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

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