Sophie’s Clues:
Sophie made up some clues about the rectangles. She only thought of numbers between 1 through 30.

Rectangle #1 Clue:
Width = N. Length = 2 N
Draw a picture for a rectangle that fits the information. Label each dimension.
What is the value of N in this case? Why does it make sense?

Answer:

0

Step-by-step explanation:

go left to right

47x88=4136

4136x9=37224

37224x0=0

Answer:

its 8.1

Step-by-step explanation:

if 1 mile is 5.4 you would divide that by two and then add 5.4 +2.7 which equals your answer 8.1

Answer:

A man is viewing the plane from a position. 3000 ft from the base of a radio tower. The airplane is flying horizontally away from the man. If the plane is flying at the rate of 600 ft/sec, at what rate is the distance between ...

Answer:

R= 2/7 or 8/7

Step-by-step explanation:

make a number line of 1/7 fraction and plot the dots

9514 1404 393

Answer:

  7.  4 cm

  8.  206 paper cups

  9.  175pi cm³

Step-by-step explanation:

7. The formula for the volume of a cone can be used.

  V = 1/3πr²h

  h = 3V/(πr²) = 3(48π cm³)/(π(6 cm)²) = 144/36 cm = 4 cm

The height of the cone is 4 cm.

__

8. The volume of the cone with the given dimensions is ...

  V = 1/3π(4 cm)²(11 cm) = 176/3π cm³ ≈ 184.307 cm³

The number of times this volume can be filled by 10 gallons is ...

  (10 gal)(3785 cm³/gal)/(184.307 cm³/cup) = 205.3 cups

206 paper cups are needed.

__

9. We know from the formula for the volume of a cone that it has the same volume as a cylinder 1/3 its height. The composite figure is equivalent to a cylinder with a height of ...

  3 cm +(12 cm)/3 = 7 cm

Then the volume is ...

  V = πr²h

  V = π(5 cm)²(7 cm) = 175π cm³

__

For this, we recognize that the triangle with sides h, 5, and 13 will be a 5-12-13 right triangle, so the height of the conical part of the figure is h=12 cm. If you haven't remembered that Pythagorean triple, you can find the height from the Pythagorean theorem:

  h² +5² = 13²

  h = √(169 -25) = √144 = 12

Answer:

The measure of Angle 6 would be 123 degrees.

Step-by-step explanation:

Since A and B are parallel, then Angle 1 and Angle 5 are the same angle. And a straight line is 180 degrees. This means that you would do 180-57, which is 123 degrees.

Answer:

21

Step-by-step explanation:

Answer: 3/10

Step-by-step explanation:

To get the value for the blank, treat it as a variable. Let’s say this blank is x.

x + 1/5 = 1/2

Subtract 1/5 from both sides:

x = 1/2 – 1/5

x = 3/10

The blank is 3/10.

Hope this helps!

Answer:

for quadratic equation 1

y^2-10y+21=0

Step-by-step explanation:

y^2-7y-3y+21=0

y(y-7)-3(y-7)=0

(y-7)(y-3)=0

y-7=0,y-3=0

y=7,y=3

y=(3,7)

for quadratic equation 2

16p^2-8p+1=0

16p^2-4p-4p+1=0

4p(4p-1)-1(4p-1)=0

(4p-1)twice=0

4p-1=0,4p-1=0

4p=1

p=1/4 twice

for quadratic equation 3

x^2-400=0

x^2=400

x=√400

x=20

for quadratic equation 4

-16m^2-8m-1=0

multiply the equation by -

16m^2+8m+1=0

16m^2+4m+4m+1=0

4m(4m+1)1(4m+1)=0

4m+1=0 twice

m=-1/4 twice

for quadratic equation 5

-3n^2+75=0

divide both side by -3

-3n^2/-3=-75/-3

n^2=25

n=√25

n=5

Answer:

6*2=n

Step-by-step explanation:

Well, if its a 6 sided die, and she gets twice the amount, then 6*2 and since the total = n 6*2=n The Total of the equation would be 12 instead of n

Answer:

The variance of the times between accidents is of 1849 days squared.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The variance of the exponential distribution is:

[tex]Var = \frac{1}{\mu^2}[/tex]

Assume that the mean time between accidents is 43 days.

This means that [tex]m = 43, \mu = \frac{1}{43}[/tex]

What is the variance of the times between accidents?

[tex]Var = \frac{1}{(\frac{1}{43})^2} = 43^2 = 1849[/tex]

The variance of the times between accidents is of 1849 days squared.

Answer:

C

Step-by-step explanation:

Jah gg if fhbvvjhggfhvcg

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.

Answer:

1:A

3:C

hope this help

Answer:

Explanation:

Circle Area:

CA = 1²×π

CA ≈ π in²

Triangle Area:

TA = 3×4/2 = 6 in²

Probability:

P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%

Answer:

[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]

Answer:

3 cm!

Step-by-step explanation:

Volume= length times width times height

90/3=30

30/10=3!

Answer:501,000

Step-by-step explanation:

Answer:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

Answer:

3 meters

Step-by-step explanation:

cm to meters is moving decimal to the left 2 times

Answer:

12 girls

Step-by-step explanation:

30*(2/5)=12

Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

Answer:

I love pizza math  :P

Step-by-step explanation:

column 1           column 2

2/3                          2/5

1/4                           3/4

1/3                           4/5

1/2                           1/6

Is it time for pizza now?  :P

Answer:

A  (1,3,2)

:))