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3 years ago

How to find right triangle with Pythagorean theorem

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

By using the formula of;

A² + B² = C²

Where A and B could be either of the 2 legs and C always have to be the hypotenuse of the right triangle. Hypotenuse is the longest leg of the triangle is the leg that's opposite to the right angle of the right triangle.

Hope this helps! I have attached a diagram for u to help you understand:

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A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ?

ki77a [65]

Answer:

Height= 4.5 Volume= 91.125

Step-by-step explanation:

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4 years ago

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Suppose that F(x) = x2 and G(X) = 2/3 x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

masha68 [24]

<h2>Answer:The graph of $G(x)$ is the graph of $F(x)$ compressed vertically.</h2>

Step-by-step explanation:

Given that $F(x)=x^{2}$ and $G(x)=\frac{2}{3}x^{2}$

$F(x)$ is always positive because $x^{2}$ is always positive.

$G(x)$ is always positive because $\frac{2}{3}x^{2}$ is always positive.

So,both are always positive.

So,there is no flipping over x-axis.

In $F(x)$ ,the height of a point at $x_{0}$ is $x_{0}^{2}$

In $G(x)$ ,the height of a point at $x_{0}$ is $\frac{2}{3}x_{0}^{2}$

So,height of any point has less height in $G(x)$ than $F(x)$

So,the graph of $G(x)$ is the graph of $F(x)$ compressed vertically.

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3 years ago

If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5

NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

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3 years ago

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Step-by-step explanation:

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What is the integral of e^(-4x)dx from 0 to 1?

EleoNora [17]

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