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3 years ago

How many degrees are there if you add up the internal angles in a pentagon?

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

The answer is 540 degrees ^-^

KatRina [158]3 years ago

6 0

540 degrees

Equivalent to three triangles.

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Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

8 0

3 years ago

Pennsylvania has a land area of 44,816 square miles. What is the land area of Pennsylvania rounded to the nearest hundered?

Semenov [28]

44,800 because in 44,816 the 1 is in the hundreds place and since it's smaller than one its going to be a 0

3 0

3 years ago

A car wheel has a diameter of 20.8 inches.

m_a_m_a [10]

Answer:

65.312 inches
326.56 inches
1959.36 inches

Step-by-step explanation:

<h3>Given</h3>

d = 20.8 inches

Travel in 1, 5, 30 rotations

<h3>Solution</h3>

<u>Circumference of the wheel is equal to one full rotation</u>

C = πd = 3.14*20.8 = 65.312 inches
5C = 5*65.312 = 326.56 inches
30C = 30*65.312 = 1959.36 inches

7 0

2 years ago

Read 2 more answers

Which 3 numbers have the same answer whether they are added or multiplied

andreyandreev [35.5K]

Answer:

1,2,3

Step-by-step explanation:

1x2x3=6

1+2+3=6 best answer

3 0

3 years ago

Read 2 more answers

The airplane in the scale drawing has a wingspan of a feet and a tail span of b feet. If the tailspin in the drawing is 2 inches

xeze [42]

Correct answer is: actual wingspan of airplane is 6 inches.

Solution:-

We are given that wingspan is 'a' feet and tail span is 'b' feet in a scale drawing.

And we are also given that tail span is 2 inches that is b=2 inches and $\frac{a}{b}=3$

Let us plugin the b value in above equation.

$\frac{a}{2}=3$

Multiplying with 2 on both sides.

a=3X2=6 inches.

Hence actual wingspan of airplane is 6 inches.

7 0

3 years ago