The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?

Given:

Base of the larger figure = 30 yd

Base of the smaller figure = 12 yd

To find:

a) The ratio of the perimeters of the larger figure to the smaller figure.

b) the ratio of the area of the larger figure to the smaller figure.

Solution:

a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.

The given figures are similar. So, the ratio of the perimeters is:

[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]

b) The ratio of area of similar figures is equal to the ratio of squares of their sides.

[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]

[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]

Therefore, the correct option is A.

Answer:

C lul

Step-by-step explanation:

https://brainly.com/question/22583943

(The majority of the members in each club are between 15 and 17 years old.)

Answer:

-1

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

The slope is always the number in front of the x.

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

I think it is 6 because 10 is half of 20 so 6 is half of 12

Sam should wear green shirt for 6 days in next 12 days.

Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.

Given,

Sam wore green shirt on 10 of the last 20 days

Fraction of days the wearing green shirt to total days = 10/20 = 1/2

Number of days of wearing green shirt in next 12 days

= 12 × 1/2

= 6 days

Hence, in next 12 days, Sam should wear green shirt for 6 days.

Learn more about ratio here:

https://brainly.com/question/10354322

#SPJ6

Right I needed help on this

Step-by-step explanation:

x+5Y=13...... 1

4x +7y=0..... 2

from eqn 1

x =13-5y

substitute into eqn 2

[tex]4(13 - 5y) + 7y = 0[/tex]

52-20y +7y=0

52-13y=0

52=13y

y=52÷13

y=4

substitute Y into eqn 2

x +5y=13

x + 5(4)= 13

x+ 20=13

x=13-20

x=-7

Answer:

33lbs

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

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

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = [tex]\frac{- 4 - (-7)}{0 - (- 2)}[/tex] = [tex]\frac{3}{2}[/tex]

y - ( - 4 ) = [tex]\frac{3}{2}[/tex] ( x - 0 )

y + 4 = [tex]\frac{3}{2}[/tex] x

y = [tex]\frac{3}{2}[/tex] x - 4 slope- intercept form

3x - 2y = 8 standard form

Answer:

6 - 3x [tex]\geq[/tex] -24

Step-by-step explanation:

230 Just add and divide

Answer:

Step-by-step explanation:

Alternate forms:

x^2 + y (y + 4) = 5

x^2 + y^2 + 4 y - 5 = 0

Solutions:

y = -sqrt(9 - x^2) - 2

y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

Answer:

D

Step-by-step explanation:

21/2 = 10.5

10.5 x .5 = 5.25 = 5 1/4

The answer is D.

Answer:

B Inequality

Step-by-step explanation:

since 12 is greater than 11 they are not equal

> this sign is the greater than sign

Answer:

x=(k√x)/(w^2)(cube√z)

x varies directly with square root of y is:

x = k √y

And inversely with the square of w and cube root of s is:

/(w^2)(cube√z)

Now put those together:

x=(k√x)/(w^2)(cube√z)

The formula is:

x=ky/wz but add the specific info like square, roots, or etc

Answer:

C

Step-by-step explanation:

Take sides AD and MP.

6 in. in ADCB is 3/2 * 4 in. in MPON

Answer:

b

Step-by-step explanation:

Answer:

The circumference of the tires is of 94.25 inches.

Step-by-step explanation:

Circumference of a circle:

The circumference of a circle, with radius measuring r, is given by:

[tex]C = 2\pi r[/tex]

In which the radius is half the diameter.

In this question:

Diameter of 30 inches, so the radius is 30/2 = 15 inches.

The circumference is:

[tex]C = 2\pi (15) = 30\pi = 94.25[/tex]

The circumference of the tires is of 94.25 inches.

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

Answer:

#3 is b

#4 is also b

Step-by-step explanation:

Answer:

X= y/2-2

Step-by-step explanation:

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be determined by the simple mathematical concepts.  Therefore the value of x is,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]   the subject of he formula y=2x+4.

Given that the subject of the formula y=2x+4.

We have to find x.

According to the question,

To obtained the value of x by the  given formula

i.e.  y = 2x+4                   .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the value of x ,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]    makes x the subject of the formula y=2x+4.        

For further details,please refer this link:

https://brainly.com/question/20632687

Answer:

i was taught this but i dont remember so I dont know if I can help sorry bud

Answer:

36 is the final

Step-by-step explanation:

4(5)+8(2)

20+16

36

Answer: B

4c^2 - 16c - 1

Step-by-step explanation:

(3c2 - 8c + 5) + (c2 - 8c - 6).

remove parantheses.

3c2 - 8c + 5 + c2 - 8c - 6

add common factors

answer= 4c^2 - 16c - 1