MATHEMATICS HIGH SCHOOL

In a right-angled triangle, the side opposite the right angle is unknown, how do you find out the unknown length? (Hypotenuse I think)

Answers

Answer 1
Answer: Yes, it is the hypotenuse. You can use pythagoras' theorem or the sine rule. you can use either as long as you know the two other side lengths of the triangle
Answer 2
Answer: a²+b²=c² (c is the hypotenuses 

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Simplify Expression
3/5b - 2 + 7b - 12 - 2/5b + 14

Answers

Answer:

The answer is 7 1/5 b

Step-by-step explanation:

How do you find the radius when the circumference is given?

Answers

Step-by-step explanation:

r = c/2π
The radius of a circle is half of the circumference. So for example if the circumference is 10, the radius would be 5.

What is ^3 sqrt(x^3)/^5 sqrt(x^2) in simplest form?x^3/5
x^5/3
x^9/15
x^15/9

Answers

The correct answer is x^3/5

This is how to solve the question:
We have to separate the numerator from the denominator in order to easily simplify the whole expression.

3 sqrt(x^3) = x
5 sqrt(x^2) = x - 2/5

Then form the fraction

= x / (x - 2/5)
= x^3/5

So the correct answer is x^3/5

The correct answer would be a. x^3/5

Simplify (2x + 3)(x – 4) = ?

Answers

Use the FOIL method (first, outside, inside, last) to multiply:

2x^2-8x+3x-12

This can be simplified even more into:

2x^2-5x-12.

Hope this helped!

The width of a rectangle is five less than twice the length. What is the minimum area of the rectangle?

Answers

W=2L-5

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A=L*W

=L(2L-5)

=2L²-5L

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dA/dL=4L-5

When dA/dL=0,

4L-5=0

4L=5

L=5/4

----------------

When L=5/4

A=5/4*(2*(5/4)-5)

=5/4*(10/4-20/4)

=5/4*((-10)/4)

=5/4*(-5/2)

=-25/8

--------------------------------

*You may have been given a badly written out question. The answer doesn't make sense.

A triangle is 6 centimeters long and 4 centimeters high. What is the area of the triangle?12 cm 2
20 cm 2
24 cm 2
48 cm 2

Answers

Answer:

12cm2

Step-by-step explanation:

Answer:

12 cm^2

Step-by-step explanation:
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