When the sum of the internal angles of a polygon is 10 right angles, then  how many sides does it have? ​

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Let's say our sum is s.

s = 10 right angles

a right angle is 90 degrees

s = 10 (90)

s= 900

Given the amount of sides in a polygon (n), the sum of the interior angles is equal to

(n-2) * 180

Therefore, the sum of the interior angles is equal to

(n-2) * 180 = 900

divide both sides by 180 to help isolate n

n-2 = 5

add 2 to both sides to isolate n

n = 7


Related Questions

Can someone help me with this question?​

Answers

Answer:

1. Y

2. YX , YZ

3. X

4. XZ

A copy machine makes 168 copies in 5 minutes and 15 seconds.how many copies does it make per minute

Answers

I believe it’s 32 copies per minute

Add the Following Fractions:

\large \frac{7}{16}+\frac{5}{16}=?

a. 80/112
b. 12/32
c. 12/16 = 3/4
d. 35/16

Answers

Answer: C, 3/4 And it's decimal form is 0.75

Step-by-step explanation:

Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? Use the model A ( T ) = P e^rt and round to the nearest tenth of a year.

It will take approximately ____ years for the investment to grow to $10,000.
.

Answers

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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a football field is 120 yards long and 160feet wide. what is the area in square yards?

Answers

Answer:

6,400

Step-by-step explanation:

One yard equals 3 feet.

160/3=53.3333

120X53.3333=6400

Sugar cookie recipe that makes five dozen cookies calls for 2.5 cups of white sugar how much white sugar should you need to make two dozen cookies

Answers

Answer:

1 cup

Step-by-step explanation:

2.5 cups 5 dozen.

x cups 2 dozen.

what is the factor to turn 5 into 2 ?

5×a = 2

a = 2/5

so, we need to multiply also the cups with that factor to keep the relationship cups and amount of cookies unchanged.

therefore,

2.5 × 2/5 = 5/2 × 2/5 = 1

she needs 1 cup.

A
person that weighs 150 pounds on
Earth will weigh 25 pounds on the Moon.
How much will a 90-pound person weigh
on the Moon?
A. 10 lb
B. 12 lb
C. 15 lb
D. 20 lb

Answers

Answer:



Step-by-step explanation:

Ans:15 lb

A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.

A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?

Answers

Answer:

The scuba diver is at sea level.

Step-by-step explanation:

Hi there!

We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.

This means she would be at sea level, not above or below.

You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.

I hope this helps!

Simplify the expression
A. -5.1
B. - 4.21
C. 3.42
D. 5.1

Answers

Answer:

D. [tex] 5.1[/tex]

Step-by-step explanation:

[tex] \frac{ - 44.288 - 31.6}{ - 3.1(6 - 1.2)} [/tex]

➡️ [tex] \frac{ - 75.888}{ - 3.1 \times 4.8} [/tex]

➡️ [tex] \frac{24.48}{4.8} [/tex]

➡️ [tex] = 5.1[/tex]

Here’s the whole thing only posted half

Answers

Answer:

48 49 51 53 58

Step-by-step explanation:

48×2= 96 so 49 51 53 and 58 are greater hope this helps:)

help find the surface area of a cylinder with the height of 9 inches and base radius of 4

Answers

9514 1404 393

Answer:

  104π in² ≈ 326.7 in²

Step-by-step explanation:

Put the given numbers in the surface area formula for a cylinder.

  SA = 2πr(r +h)

  SA = 2π(4 in)(4 in +9 in) = 104π in² ≈ 326.7 in²

Answer:

326.73

Step-by-step explanation:

You just have to plug this into the cylinder surface area formula, which is [tex]A=2\pi rh+2\pi r^{2}[/tex]. So solving this would be [tex]A=2\pi (4) (9) +2\pi (4)^{2}[/tex]. You can simply put that into your calculator, and you'll get 326.72564, which rounds to 326.73. Make sure to read your problem carefully in case it specifies what number to round to though.

Solve for x: (1/3)x = 81 ​

Answers

Answer:

243

Step-by-step explanation:

1 /3 x=81

Step 1: Multiply both sides by 3.

3*( 1 /3 x)=(3)*(81)

x=243

The value of x for the expression (1/3)x = 81 is 243.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

The given expression is,

(1/3)x = 81

To find the value of x,

Solve the expression,

(1/3)x = 81

x = 81 x 3

x = 243

The required value of x is 243.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

the speed of a bus is 40km per hour how much distance it cover in 2 hour 30minutes
plz ​

Answers

Answer:

100 km

Step-by-step explanation:

Speed = distance/time

=> Speed × time = distance

=> Distance = speed × time

=> Distance = (40 km/h) × 2.5 hours

=> Distance = 100 km.h/h

=> Distance = 100 km

Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes_____ hours for the number of bacteria to increase to 300.

Answers

Answer:

It takes 45 hours for the bacteria to triple the initial amount

Answer:

45 HOURS IS CORRECT

Step-by-step explanation:

HELP PLS! ;P
Find n.

A. 5√3

B. 5

C. 10√3/3

D. 10

Answers

Answer:

B

Step-by-step explanation:

tan(30)=n/(5*sqrt(3))

=> n=5

are these two line parallel to each other??

Answers

Answer:

No

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 1 ← is in slope- intercept form

with slope m = 3

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table

m = [tex]\frac{12-4}{4-2}[/tex] = [tex]\frac{8}{2}[/tex] = 4

Parallel lines have equal slopes

The slope of these 2 lines are not equal , thus not parallel

Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4

Answers

Answer:

a = 3 and b = 2

Step-by-step explanation:

From completion of squares:

[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]

a is 3

b is 2

Answer:

Answer B : a = 3 and b = 2

Step-by-step explanation:

Give man above brainlyiest he deserives it

What’s is the length of side b?

Answers

H=45P=27B=?

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B^2=45^2-27^2[/tex]

[tex]\\ \sf\longmapsto B^2=2025-729[/tex]

[tex]\\ \sf\longmapsto B^2=1296[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{1296}[/tex]

[tex]\\ \sf\longmapsto B=36[/tex]

Answer:

[tex]\displaystyle 36 = b[/tex]

Step-by-step explanation:

The scale factour is [tex]\displaystyle 4\frac{1}{2},[/tex]so multiply 8 by 4½:

[tex]\displaystyle 36 = [4\frac{1}{2}][8][/tex]

Now, the way you can tell that this is the scale factour is by our MAGIC NUMBER, 10. If you divide both hypotenuses, you will get :

[tex]\displaystyle 4\frac{1}{2} = 45 \div 10[/tex]

From here, you already know you must multiply 8 by this scale factour.

I am delighted to assist you at any time.

Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.

Answers

Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

mathematics geniuses where are you ? help me answer this question please.

Answers

Step-by-step explanation:

There is 7 blocks that measure is 12.0-12.2

11 blocks that measure 12.2 to 12.4

18 blocks that measure 12.4 to 12.6

10 blocks that measure 12.6-12.8

4 blocks that measure 12.8 to 13.0

We can't find a mean by with Intervals so let find the midpoint of each interval,

12.1, 12.3, 12.5, 12.7, 12.9.

12.1 occurs 7 times so that equal 12.1 x 7=84.712.3 occurs 11 times so that equal 12.3 x 11=135.312.5 occurs 18 times so that equal 12.5x18=22512.7 occurs 10 times so that equal 12.7x10=12712.9 occurs 4 times 12.9×4=51.6

Add up the products and divide them by 50

[tex]\frac{623.6}{50} = 12.472[/tex]

Standard Deviation is

0.23( it is alot of steps so I use a calculator to save time).

The interqualtie range is 0.4

Does anyone know this and can help please

Answers

Answer:

[tex]\frac{y^7z^3}{x}[/tex]

Step-by-step explanation:

When variables have negative exponents, switch their positions.

[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]

If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with the prelim age

Answers

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

Please I need help the picture below with the options

Answers

9514 1404 393

Answer:

  (B)  Function 2

Step-by-step explanation:

We can compute the slope of Function 2 using the slope formula.

  m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.

  m = (0.2 -0.8)/(3 -2) = -0.6

The slope of Function 1 is about ...

  -3/7 ≈ -0.43

The slope of Function 2 is more negative.

__

On a graph, the line representing function 2 has a steeper downward slope.

(6x-5y+4)dy+(y-2x-1)dx=0​

Answers

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==>   a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

can someone help me please​

Answers

Step-by-step explanation:

11.

[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]

[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]

[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]

[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]

[tex] \frac{4x}{x + 4} [/tex]

12.

[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]

[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]

[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]

[tex] \frac{x + 1}{x - 1} [/tex]

13.

[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]

[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]

[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]

[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]

[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]

14.

[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]

[tex] \frac{3x - 1}{3} [/tex]

please solve
if the breadth of rectangle in three fourth of it's length and perimeter is 140cm,find the length and breadth of rectangle ​

Answers

Let lebgth be x

Breadth=3x/4

[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \rm\Rrightarrow 2(x+\dfrac{3x}{4})=140[/tex]

[tex]\\ \rm\Rrightarrow 2\left(\dfrac{4x+3x}{4}\right)=140[/tex]

[tex]\\ \rm\Rrightarrow 2\left(\dfrac{7x}{4}\right)=140[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14x}{4}=140[/tex]

[tex]\\ \rm\Rrightarrow 14x=140(4)[/tex]

[tex]\\ \rm\Rrightarrow 14x=560[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{560}{14}[/tex]

[tex]\\ \rm\Rrightarrow x=40[/tex]

Length=40cmBreadth=3(40)/4=120/4=30[

Luc has to read 3 novels and 12 short stories for his literature class. The professor will
choose one reading at random for the final exam. Find the probability that the professor
will choose a novel for the final exam. Express your answer as a) a fraction, and b) as a
decimal.
Show your work.

Help! :)

Answers

Answer:

Fraction: 1/5

Decimal: 0.2

Step-by-step explanation:

simplify 5 - (3 a + 1) + 2 a​

Answers

Expand brackets:
5-3a-1+2a
Simplify:
4-a

Step-by-step explanation:

5-3a-1+2a

5-1-3a+2a

4-1a

4×..., biar jadi 100...


tolong ya kak...​

Answers

Answer:

25

Step-by-step explanation:

25 =100

____________

Answer:

25

Step-by-step explanation:

4 × 25 = 100

100 ÷ 4 = 25

Hope this help :)

#Semangat_Belajar

9. ax + by = (a - b), bx - ay = (a + b)​

Answers

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

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