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1 year ago

What is the measure of an interior angle of a regular decagon?

Mathematics

2 answers:

Trava [24]1 year ago

8 0

Answer: 180

Step-by-step explanation:

user100 [1]1 year ago

7 0

Answer:

Step-by-step explanation:

A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees.

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Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. the mirror is 2 feet wide and

Helen [10]

The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.

The correct option is D.

<h3>What is a quadratic equation ?</h3>

A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

<h3>According to the given information:</h3>

Total area = 7 square feet

and,

Total area = Length x Width

So,

7 = (2x + 3)(2x + 2)

7 = 4x2 + 4x + 6x + 6

7 = 4x2 + 10x + 6

4x2 + 10x + 6 - 7 = 0

4x2 + 10x - 1 = 0

Hence,

The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.

To know more about quadratic equation visit:

brainly.com/question/1863222

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I understand that the question you are looking for is:

Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. Which quadratic equation can be used to determine the thickness of the frame, x?

A. x² + 14x - 2 = 0

B. 2x² + 10x - 7 = 0

C. 3x² + 12x - 7 = 0

D. 4x² + 10x - 1 = 0

6 0

1 year ago

8h+7=6h-8 plz hurrrrryyyyyy and hellp

Kazeer [188]

Answer:

h= −15 /2

Subtract 6h from both sides.

Subtract 7 from both sides.

Divide both sides by 2.

3 0

3 years ago

a new seporter at a family amusement park ask 10th person exiting the park about their experience at the park

Svet_ta [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Put the equation: 2x+3y=9 into slope-intercept form

Katarina [22]

Answer:

2x − 3y = 9 2 x - 3 y = 9 The slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Rewrite in slope-intercept form.

Step-by-step explanation:

answer is y = 2/3x-3

4 0

3 years ago

Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}$

$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$