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3 years ago

The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

8 0

The longer leg is the leg adjacent to the larger angle

so 60

length of longer leg = 4 sin60 = 2sqrt(3)

Veronika [31]3 years ago

7 0

Answer:

$2\sqrt{3}$ units is the longer leg

Step-by-step explanation:

Definition: 30 -60 -90

In 30-60-90 triangle,

the length of the hypotenuse is twice the length of the shorter leg; and

the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

As per the statement:

The length of the hypotenuse of 30 -60 -90 triangle is 4

Length of hypotenuse = 4 units

then, by definition we have;

length of shorter leg = 2 units

then;

the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

⇒Length of longer leg = $2\sqrt{3}$ units

Therefore, the length of longer leg is, $2\sqrt{3}$ units

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Y=-2x+5<br> X | Y<br> ____<br> 5<br> -1<br> 2<br> 0

Y_Kistochka [10]

Answers:

Step-by-step explanation:

Plug in the x into the equation and solve.

<h3>Value 1: X = 5</h3>

Y = -2(5) + 5

Y = -10 + 5

Y = -5

<h3>Value 2: X = -1</h3>

Y = -2(-1) + 5

Y = 2 + 5

Y = 7

<h3>Value 3: X = 2</h3>

Y = -2(2) + 5

Y = -4 + 5

Y = 1

<h3>Value 4: X = 0</h3>

Y = -2(0) + 5

Y = 0 + 5

Y = 5

I'm always happy to help :)

8 0

2 years ago

Like charges repel and I like charges attract Coulomb’s law states that the force F of attraction or repulsion between two charg

olga_2 [115]

Step-by-step explanation:

For the charges that have same sign of charges will repel each other while for the charges that have different charges will attract each other. So, we can say that like charges repel and unlike charges attract each other.

The Coulomb's law of attraction of repulsion states that force between charges is directly proportion to the product of charges and inversely proportional to the square of distance between them. Mathematically, it is given by :

$F=\dfrac{kq_1q_2}{r^2}$