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2 years ago

Please explain Convert the angle θ= 9/14pi radians to degrees.

Mathematics

1 answer:

FrozenT [24]2 years ago

5 0

Answer:

280°

Step-by-step explanation:

using the relationship

π radians = 180° , then substituting gives

$\frac{14\pi }{9}$ = $\frac{14(180)}{9}$ = 14 × 20 = 280°

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The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n – 2), where n is the numb

disa [49]

Answer:

Equivalent equation of $s =180(n-2)$ is $n =\frac{s}{180}+2$

And the number of sides does a polygon have is, n =9.

Step-by-step explanation:

Given:

The sum of the interior angles, 's' in a n-sided polygon can be determined

using the formula is: $s =180(n-2)$ .....[1]

where n is the number of sides.

We can write the equivalent equation of [1]

$s = 180(n-2)$

Divide both sides by 180;

$\frac{s}{180} =\frac{180(n-2)}{180}$

Simplify:

$\frac{s}{180}=n-2$

Add 2 to both sides of an equation:

$\frac{s}{180}+2=n-2+2$

Simplify, we get;

$n =\frac{s}{180}+2$ ......[2]

Now, to find the value of n ;

Given: s =1260°

Substitute this value in [2] we get;

$n =\frac{1260}{180}+2$

n = 7+2 =9

Therefore, the number of sides in a polygon is, n=9

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3 years ago

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The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice inclu

Katena32 [7]

Answer:

The answer is D

Cuba, Poland, U.S., Argentina, Turkey, and Spain

Step-by-step explanation:

Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%

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2 years ago

a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl. What is t

Taya2010 [7]

Answer:

0.25

Step-by-step explanation:

Given that a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl.

Let X be the no of boys the couples have. X has two outcomes with p = 0.5

X is binomial with n = no of trials = 4 and p =0.5

the probability that they will have three boys and one girl

= $P(X=3)\\=4C3(0.5)^3(0.5)\\= 0.25$

Reqd prob = 0.25

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4 years ago

A designer wants to make a circular fountain inside a square of grass as shown at the right. What is a rule for the area A of th

Dennis_Churaev [7]

Answer:

$A=4r^{2}-r^{2}\pi$

Step-by-step explanation:

1. To calculate the area of the grass you must substract the area of the square and the area of the circle.

2. The area of the square is:

$A1=L^2$

Where $L$ is one side of the square.

3. You have that:

$L=2r$

4. Therefore:

$A1=(2r)^{2} =4r^{2}$

5. The area of the circle is:

$A2=r^{2}\pi$

6. The are of the grass is:

$A=4r^{2}-r^{2}\pi$

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3 years ago

Solve the equation: x2 = 1

oee [108]

Answer:

x = 0.5

Step-by-step explanation:

hope this helps!

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3 years ago

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