The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?

Answer: A. 90° clockwise, E. 270° counterclockwise

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]

Answer:

[tex]L + 2K = 200[/tex]

Step-by-step explanation:

Given

[tex]E=1000[/tex] --- Expenditure

[tex]L=200[/tex] --- Labor

[tex]K = 100[/tex] --- Capital

Required

Determine the budget line

First, we calculate the units of labor

[tex]U_1 = \frac{E}{L}[/tex]

[tex]U_1 = \frac{1000}{200}[/tex]

[tex]U_1 = 5[/tex]

Next, the units of capital

[tex]U_2 = \frac{E}{K}[/tex]

[tex]U_2 = \frac{1000}{100}[/tex]

[tex]U_2 = 10[/tex]

The budget line equation is:

[tex]U_1 * L + U_2 * K = E[/tex]

At this point, we take L and K as variables.

So, the equation becomes

[tex]5* L + 10* K = 1000[/tex]

[tex]5 L + 10K = 1000[/tex]

Divide through by 5

[tex]L + 2K = 200[/tex] -- Budget line equation

Answer:

16

Step-by-step explanation:

radius is 1/2 of diameter

Answer:

16 units

Step-by-step explanation:

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

Answer:2-f

Step-by-step explanation:

Answer: A≈63.62

Step-by-step explanation:

9/2= 4.5

A=πr2=π·4.52≈63.61725

Answer:

To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

It starts at 25 and then it stops at 38.

I hope this helps!

Answer:

hi

Step-by-step explanation:

Answer:

2×10¹² cells → 90 g

mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g

The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.

In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

And the perimeter and the area of the composite figure are now computed:

Perimeter

p = 6 cm + 7 cm + 6.5 cm + 9.5 cm

p = 29 cm

Area

A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)

A = 7.5 cm² + 42 cm²

A = 49.5 cm²

To learn more on composite figures: https://brainly.com/question/23082031

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Step-by-step explanation:

let the ratio 7:8 be 7x and 8x.

now

7x+8x=30

or, 15x=30

or, x= 30/ 15

or, x= 2

here

no. of boys = 7x= 7*2 = 14

no. of girls= 8x = 8*2= 16

hope this helps u...

Answer:

16 girls

Step-by-step explanation:

sum the parts of the ratio, 7 + 8 = 15 parts

Divide the number of pupils by 15 to find the value of one part of the ratio.

30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then

8 parts = 8 × 2 = 16 ← number of girls

Answer:

37.3

Step-by-step explanation:

Answer:

37.29

Step-by-step explanation:

Answer:

8 and 36

Step-by-step explanation:

let the daughter's age be x then father is x + 28

In 6 years their ages are

x + 6 and x + 28 + 6 = x + 34

Father is 3 times her age , then equation is

x + 34 = 3(x + 6) ← distribute

x + 34 = 3x + 18 ( subtract x from both sides )

34 = 2x + 18 ( subtract 18 from both sides )

16 = 2x ( divide both sides by 2 )

8 = x

Daughter's age is 8 and father's age is 8 + 28 = 36

Answer:

[tex] \frac{36}{100} = \frac{9}{25} [/tex]

Step-by-step explanation:

3600%/100% cancel them you will get 36% answer..

Answer:

Answer:

B) 39/89

Step-by-step explanation:

With reference angle E

hypotenuse (h) = 89

base (b) = 39

cosine angle E

= b /h

= 39/89

Answer: $255

Step-by-step explanation:

A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:

= $300 - (15% × $300)

= $300 - (0.15 × $300)

= $300 - $45

= $255

The sales price is $255.

A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

Answer:

he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6

Step-by-step explanation:

Answer:

a) 2000000 kilobytes

b)20 000 000 bytes

Answer:

x > -10

Step-by-step explanation:

10 - 6x < 70

-10           -10

-6x<60

/-6.   /-6

(flip sign)

x>-10

Answer:

This is the answer x < 5

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

Answer:

just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem

Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Answer:

a. circle with center at (–5, 10), shading inside the circle

Step-by-step explanation:

I have a quizlet for those towards the end of the course aka Cameron its

HELI KADAKIA to study ofc

The graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation of the graph is f(x + 5)² + (y – 10)² < 169. When we plot the equation we get the circle having an inside shaded part. The coordinates of the circle are (5,-10).

Therefore, the graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.

To know more about circles follow

https://brainly.com/question/24375372

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Answer:

5 m²

Step-by-step explanation:

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