A circle is divided into 9 equal parts what is the angle measure of one of those parts?

During a football game a concert in stenciled family three hamburgers and two white dogs for a total of $13 and another family t

jeka94

Answer:

Price of hamburgers = $2

Price of white-dogs = $3

Step-by-step explanation:

Let

The number price of hamburgers be x

The number price of white-dogs be y

Then the first family buys 3 hamburgers and 2 white -dogs for $13

3x + 2y = 13-----------------------------(1)

Another first family buys 2 hamburgers and 5 white -dogs for $16

2x + 5y = 16----------------------------(2)

To solve let us multiply eq(1) by 2 and eq(2) by 3, we get

6x + 4y = 26-----------------------------(3)

6x + 15y = 48----------------------------(4)

subracting (3) from (4)

6x + 15y = 48

6x + 4y = 26

(-)

-------------------------

11y = 22

---------------------------

$y =\frac{22}{11}$

y =2

Now substituting the value of y in eq(1),

3x + 2(2) = 13

3x + 4 = 13

3x = 13-4

3x = 9

x = $\frac{9}{3}$

x =3

4 0

4 years ago

A car is purchased for $45000. It depreciates about 8% a year. What would the value be after 2 years?

MA_775_DIABLO [31]

37,800 since it depreciates by 8% of the original price each year

3 0

3 years ago

If the length of the minute hand of the clock in London commonly known as "Big Ben" is 11.25' from the center of the clock to th

DochEvi [55]

Answer:

33.15 square inches.

Step-by-step explanation:

Given:

Length of the minute hand is 11.25' from the center of the clock to the tip of the hand.

Question asked:

What is the area swept out by the minute hand as it moves 5 minutes of time?

Solution:

As length of the minute hand is '11.25' from the center of the clock to the tip of the hand means radius of the circle, r = 11.25 inches.

First of all we will find area of circle swept by the minutes hand,

$Area\ of\ circle=\pi r^{2}$

$=\frac{22}{7} \times11.25\times11.25\\\\ =\frac{2784.375}{7} \\ \\ =397.77\ square\ inches$

When minute hand moves 60 minutes, it makes one circle of area 397.77 square inches.

By using unitary method, we will calculate area swept by minute hand in 5 minutes:-

In 60 minutes, area swept = 397.77 square inches

In 1 minute, area swept = $\frac{397.77}{60}$

In 5 minutes, area swept = $\frac{397.77}{60}\times5=\frac{1988.85}{60} =33.15\ square\ inches$

Thus, the area swept out by the minute hand is 33.15 square inches when it moves 5 minutes.

8 0

4 years ago

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64

Allushta [10]

warehouse location (24,-32)

airport location (-24,32)

distance = sqrt((x2-x1)^2 +(y2-y1)^2)=

Sqrt(24--24)62 +(32--32)^2) =

sqrt(48^2 +64^2) =80

then distance from airport to the factory = -24 to 24 = 48

80+48 = 128 miles total

5 0

4 years ago

Read 2 more answers

A bookstore had 64 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 1/8 of what remained. How many copies do

just olya [345]

Answer: 42

Step-by-step explanation:

if the bookstore has 64 copies,

yesterday it was sold 1/4 , so it was sold 64/4=16

today it was sold 1/8 from what remained, which is 6(see below)

64-16=48

48/8=6

the store has left 48-6=42

6 0

3 years ago