The college plans to use part of its land for a bicycle park.
The space for the bicycle park is rectangular 18 m by 4.8 m.
A rectangular space is needed for each bicycle.
0.6 m
Diagram not
accurately drawn
2 m
The builders think that 90 bicycles can fit in the bicycle park.
Are the builders correct?
Show a check of your working.
(4)

Answer:

21.6in^3

Step-by-step explanation:

\text{Volume of Pyramid:}

Volume of Pyramid:

V=\frac{1}{3}Bh

V=  

3

1

​  

Bh

Where B is the area of the base

\text{Perimeter of base}:

Perimeter of base:

\,\,10.4

10.4

\text{Side length of base}:

Side length of base:

\,\,\frac{10.4}{4}=2.6

4

10.4

​  

=2.6

Divide perimeter of square by 4 to get side length

\text{Area of base}:

Area of base:

\,\,2.6^2=6.76

2.6  

2

=6.76

Area of a square is s^2

B=

B=

\,\,6.76

6.76

h=

h=

\,\,9.6

9.6

given

V=

V=

\,\,\frac{1}{3}Bh

3

1

​  

Bh

V=

V=

\,\,\frac{1}{3}(6.76)(9.6)

3

1

​  

(6.76)(9.6)

Plug in

V=

V=

\,\,21.632

21.632

V\approx

V≈

\,\,21.6\text{ in}^3

21.6 in  

3

Answer:

The car would need 12 gallons of gas to go 360 miles

Step-by-step explanation:

360÷30=12

Answer:

it would take 12 gallons of gas

Step-by-step explanation:

[tex]360 \div 30 = 12[/tex]

Answer:

2 1/5

Step-by-step explanation:

4 3/5 - 2 2/5

I like to make them vertical

4 3/5

- 2 2/5

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

2 1/5

Answer:

Your answer would be 100! :)

Answer:

Are there options to choose from?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Answer:

4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

For more about the mean,

https://brainly.com/question/17060266

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A. True

In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.

Answer:

(a) No solution

(b) Infinitely many solution

(c) No solution

(d) Infinitely many solution

Step-by-step explanation:

Solving (a):

[tex]2x + 10y = 9[/tex] --- (1)

[tex]3x + 15y = 13[/tex] --- (2)

Multiply (1) by 1.5

1.5 * [[tex]2x + 10y = 9[/tex]]

[tex]3x + 15y = 13.5[/tex] --- (3)

Subtract 2 and 3

[tex]3x - 3x + 15y - 15y = 13.5 - 13[/tex]

[tex]0 = 0.5[/tex]

The above is false; Hence, the system has no solution

Solving (b):

[tex]2x + 8y = 5[/tex] --- (1)

[tex]3x + 12y = 7.5[/tex] -- (2)

Multiply 1 by 1.5

1.5 * [[tex]2x + 8y = 5[/tex]]

[tex]3x + 12y = 7.5[/tex]

Subtract 2 and 3

[tex]3x - 3x + 12y - 12y = 7.5 - 7.5[/tex]

[tex]0 = 0[/tex]

The above implies that the system has infinitely many solutions

Solving (c):

[tex]y = 3 - x[/tex]

A second equation is required to solve for (c)

Solving (d):

[tex]5x - 8y = -1[/tex] --- (1)

[tex]-\frac{5}{2}x+ 4y = \frac{1}{2}[/tex] --- (2)

Multiply (2) by 2

[tex]-5x + 8y = 1[/tex] --- (3)

Add 1 and 3

[tex]5x - 5x -8y + 8y = -1 + 1[/tex]

[tex]0 = 0[/tex]

The above implies that the system has infinitely many solutions

9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2

Answer:

13. A

14. B

15. C

16. B

17. C

Step-by-step explanation:

Answer:

A=44yd²

Step-by-step explanation:

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

To know more about standard error here

https://brainly.com/question/13179711

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Answer:

6.28 cm

Step-by-step explanation:

Given,

Diameter = 2 cm

pi = 3.14

To find : Circumference ( circle ) = ?

Radius ( r )

= Diameter / 2

= 2 / 2

= 1 cm

Formula : -

Circumference ( circle ) = 2 pi r

2 pi 4

= 2 × 3.14 × 1

= 6.28 cm

Answer:

6.28

Step-by-step explanation:

radius= diameter/2

r=2/2=1

circumference formula=2[tex]\pi[/tex]r

[tex]\pi[/tex]=22/7 or 3.14

So,

2[tex]\pi[/tex]r= 2*3.14*1= 6.28

Answer: 44.064

Step-by-step explanation:

Answer:

44.064

thats the answer

Answer: can you please list the choices that are in the drop down box

Step-by-step explanation:

Answer:

The shortcut would be 53 yards

Step-by-step explanation:

Because trigonometry

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

Answer:

Disagree

Step-by-step explanation:

x actually equals 53.13

Answer:

10 times greater is the value of 5 in 3,590 than the value of 5 in 359.

Step-by-step explanation:

The answer would be A

Answer:

It would be A

Step-by-step explanation:

Once again the shape does not rotate or flip it stays the same but moves on the coordinate plane.

Answer:

the answer is B so it's 12

Answer:

I would say 54 units (sorry if I'm wrong)

Answer:

A x=18

Step-by-step explanation:

Answer:

4 × 7/8 = 3.5

Step-by-step explanation:

4 × 6/8 = 3

Answer:

3.5 and 3

Step-by-step explanation:

Answer:

Solution given'

<2+90+49=180°[sum of interior angle of a triangle]

<2=180-139

<2=41°

Answer:

50.965.01

Step-by-step explanation: