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3 years ago

Select all irrational numbers. 9√ 12−−√ 16−−√ 20−−√ 25−−√

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

sqrt 25

Step-by-step explanation

If you attempt to rationalize 25 you will get 5 times 5 which isn't a ration. Therefore, the sqrt of 25 is irrational.

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Please help me thank you!!!

kow [346]

There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).

Option 1 (fast and easy):

The following is the equation for the area of a regular pentagon with side length s.

$A= \dfrac{s^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

Plug s=12 into the equation.

$A= \dfrac{12^2}{4} \times \sqrt{5(5+2\sqrt{5})}$

$\approx 247.7$

The third choice should be your answer.

Option 2 (much more complicated):

The area of a regular polygon can be solved with the following formula.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

Let's solve for the apothem.

A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.

An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.

The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.

$\text{apothem}=\dfrac{6}{\tan{36}}$

$\approx 8.26$

The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.

$A=\dfrac{\text{perimeter} \times \text{apothem}}{2}$

$=\dfrac{60 \times 8.26}{2}$

$\approx 247.8$

(it seems that we're off by 0.1 due to rounding errors)

The answer is the third choice. Hope this helps! :)

4 0

3 years ago

What is the least common denominator of the rational expressions below?

Lyrx [107]

Answer:

B.(x-6)

Step-by-step explanation:

12/(x^2 - 11x+30) - 43/(x^2-6x)

12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]

Both have x-6 common in the denominator,

4 0

3 years ago

Stacy bakes 14.5 pies in 6 hours. How many pies would she bake in 9 hours? (explain how to solve and solve and the answer)

Olenka [21]

Answer:

$21.75$ pies

Step-by-step explanation:

First, we can find the speed that Stacy takes to bake pies per hour before solving for how many pies she can bake in 9 hours.

$s=14.5pies/6hours$

$s=\frac{29}{12}pies/hour$

Pies Stacy bakes in 9 hours $=\frac{29}{12}\times9$

$=21.75$ pies

∴ Stacy bakes 21.75 pies in 9 hours

Hope this helps :)

5 0

3 years ago

Match the expression to its simplified form.

viktelen [127]

2^5 = 32

2^-4 = 1/16

5^3 = 125

5^-2 = 1/25

^ means exponent

I don’t know why you needed help this is easy

4 0

3 years ago

Help plsssss ;-;;;;;;;

timama [110]

When increasing a percentage I usually just turn the percentage to a decimal. So, let's say you have 100 gallons of gas and it'll get an increase by 20%, just multiply 100 by .20 and you'll get 20, then add 20 to 100 to see what you'll have after. In this case, 15% would be .15, just multiply 22 by .15 to see how much the increase is, then add what you get to 22.

4 0

3 years ago