All categories

3 years ago

What is the measure of each interior angle of a regular 16-gon?

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

157.5 degree

Step-by-step explanation:

Sum of all sixteen angles=(16-2)*180 = 2520 degree,

One angle=2520/16=157.5 degree.

You might be interested in

Find the sum 5/14 + 4/5

AnnyKZ [126]

Answer:

81/70

Step-by-step explanation:

5/14+4/5=25/70+56/70=81/70

3 0

3 years ago

Read 2 more answers

Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?

prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

$A=\pi r^2$

r is radius of circle

$r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}$

The circumference of circular shaped object is given by :

$C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}$

So, the circumference of the cookie is 37.68 inches.

7 0

2 years ago

If cos(θ)=2853 with θin Q IV, what is sin(θ)?

marysya [2.9K]

Answer: $\sin \theta=\frac{-45}{53}$

Step-by-step explanation:

Since we have given that

$\cos\theta=\frac{28}{53}$

And we know that θ is in the Fourth Quadrant.

So, Except cosθ and sec θ, all trigonometric ratios will be negative.

As we know the "Trigonometric Identity":

$\cos^2\theta+\sin^2\theta=1\\\\\sin \theta=\sqrt{1-\cos^2\theta}\\\\\sin \theta=\sqrt{1-(\frac{28}{53})^2}=\sqrt{\frac{53^2-28^2}{53^2}}\\\\\sin \theta=\sqrt{\frac{2025}{53^2}}\\\\\sin \theta=\frac{45}{53}$

It must be negative due to its presence in Fourth quadrant.

Hence, $\sin \theta=\frac{-45}{53}$

7 0

3 years ago

A storage box has a length of 9 in., a width of 6 in., and a height of 8 in. Which unit of measurement should be used to describ

Aliun [14]

C. in^3 because is you describe the amount of something then you are finding out what the volume is.

6 0

3 years ago

Read 2 more answers

The price of a suit decreased from $280 to $182 during a clearance sale.

Mandarinka [93]

Answer:

35%

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers