All categories

3 years ago

8. What is the sum of the exterior angles of

Mathematics

2 answers:

PolarNik [594]3 years ago

6 0

Answer:

D. 1080°

Step-by-step explanation:

Sum=(n-2)x180°

(8-2)x180°

6x180°

1080°

Hope it helps ❤

andrezito [222]3 years ago

6 0

Answer: 360°

Step-by-step explanation:

The sum of the exterior angle of a polygon is always 360°

Or, From the sum of the interior angle of a polygon,

(2n - 4)× 90° where n = 8

(2 × 8 - 4) × 90 =

16 - 4 × 90

12 × 90 = 1080°

Now each interior angles of the polygon

= 1080/8

= 135°.

Now, to find each exterior angle of the polygon,

= 180°- 135°

= 45°

To find the exterior angle now, we multiply 45° by eight

= 45° × 8

= 360°

You might be interested in

Geometry questions, help ya girl out

coldgirl [10]

Answer:

3. a

4. d

5. a

Step-by-step explanation:

7 0

3 years ago

A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?

Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ $18\frac{1}{6}$ feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = $5\frac{1}{3}\ feet$

Width of the box = $3\frac{3}{4}\ feet$

Perimeter of a rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = $2(5\frac{1}{3}+3\frac{3}{4})\ feet$

Simplifying by adding fractions:

⇒ $2(5+3+\frac{1}{3}+\frac{3}{4})\ feet$ (Adding whole numbers and fractions separately)

⇒ $2(8+\frac{1}{3}+\frac{3}{4})$ feet

Whole number 8 can be written as $\frac{8}{1}$

⇒ $2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4})$ feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒ $2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3})$ feet

⇒ $2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12})$ feet

Then we simply add numerators.

⇒ $2(\frac{96+4+9}{12})$ feet

⇒ $2(\frac{109}{12})$ feet

⇒ $2\times \frac{109}{12}$ feet

⇒ $\frac{218}{12}$ feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ $18\frac{2}{12}$ feet

Simplifying fractions to simplest form.

⇒ $18\frac{1}{6}$ feet

Perimeter =⇒ $18\frac{1}{6}$ feet (Answer)

5 0

3 years ago

Which of the following is an example of an exponential function?

Orlov [11]

Answer: Choice D $p(\text{x}) = 500(1.02)^{\text{x}}$

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say $p(\text{x}) = 500(1.02)^{\text{x}}$ instead of $p(\text{x}) = 500(1.02){\text{x}}$