Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving?

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

Answer:

81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:  90

Step-by-step explanation:

3 to the fourth power =  81

81 + 9 = 90

Answer: A. SAS

If we look at how the triangles are congruent, we have a side, an included angle, and another side. Therefore, these triangles are congruent by Side-Angle-Side. So we can say that MO is congruent to PR because the triangles are congruent by SAS.

Hope this helps!! :)

Answer:

Let x = ducks

Let y = goats

Equation 1: x+y=38

Equation 2: 2x+4y=90

Step-by-step explanation: (Work)

The question says two kinds of animals, so let x be "ducks" and y be "goats."

Number one equation: x+y=38

Number two equation: 2x+4y=90

Explanation:

The x+y=38 represents how many animals there will be if you add both the ducks and goats.

The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.

===========================================

Work Shown:

A = area of trapezoid

A = height*(base1+base2)/2

A = 9*(16+10)/2

A = 9*26/2

A = 9*13

A = 117

---------

B = area of triangle

B = base*height/2

B = 6*8/2

B = 48/2

B = 24

----------

C = area of entire figure

C = A+B

C = 117+24

C = 141 square inches

We can write "sq in" or "in^2" as shorthand for "square inches".

Answer:

Multiply by 2.

Step-by-step explanation:

Given the following simultaneous equations;

3x + 3y = 9 ......equation 1

-6x – 4y = -14 ......equation 2

To solve the equation by elimination, we would multiply eqn 1 by 2;

6x + 6y = 18

-6x – 4y = -14

Adding them together, we have;

0x + 2y = 4

2y = 4

y = 4/2

y = 2

To find the value of x;

3x + 3y = 9

3x + 3(2) = 9

3x + 6 = 9

3x = 9 - 6

3x = 3

x = 3/3

x = 1

Therefore, to solve the system of equations, you will multiply 3x + 3y = 9 by 2 and add it to -6x – 4y = -14.

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

Answer:

D 1

Step-by-step explanation:

Answer:

3yd

Step-by-step explanation:

use your brain

===============================================

Explanation:

There are two approaches we can take.

The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.

So the new price is 15 - 0.75 = 14.25 dollars

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

The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).

95% of 15 = 0.95*15 = 14.25

This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]

Answer:

84in

Step-by-step explanation:

Triangle Formula: 1/2bh

16*8=48*1/2 = 24

15*8= 120*1/2= 60

24+60= 84

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

Answer:

x = 4.58

Step-by-step explanation:

5² = 2² + x²

x² = 5² - 2²

x² = 25 - 4

x = √21

× =4.58

Answer:

1710

Step-by-step explanation:

you will multiply 1500 euros by the exchange rate

Answer:

1) ∠M

2) MT, GT

3) ∠G

4) not enough information...because we are given two congruent sides but an angle that is not included.

5) SAS because two sides are congruent (including the one they share) and an included angle.

6) SSS because three sides are congruent (including the one they share).

Can you please delete this. I have answered it wrong. Thanks

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

Answer:

i think because it's powered by 4

Answer:

X = 0, -4

Step-by-step explanation:

Symbolab helped

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that [tex]n = 20, s = 31.61[/tex]

What is the margin of error for this estimate?

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]

[tex]M = 14.79[/tex]

The margin of error for this estimate is of 14.79 yards per game.

Answer:

MINIMUM WAGE does not increase much over time

Step-by-step explanation:

Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.

Answer:

61440

Step-by-step explanation:

15 x 4= 60

60 x 4= 240

240 x 4= 960

960 x 4= 3840

3840 x 4 = 15360

15360 x 4= 61440

The 6th term = 15360.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

the given sequence 15,60,240,...

1st trem = 15

common ratio = 4

so, 6th term = 15*  4^5

                   =15360

hence, The 6th term = 15360.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

3/5 times or 60%

Step-by-step explanation:

Answer:

3/5 or 60%

Step-by-step explanation:

The total amount of pants are 6 + 9 + 8 + 2 = 25. The amount that are red or yellow are 9 + 6 = 15. The probability is 15/25, or 3/5, or 60%

Answer:

4

Step-by-step explanation:

Answer:

200.

Step-by-step explanation:

35% = 0.35 so

0.35x = 70

x = 70 / 0.35

= 200.

Answer:

200

Step-by-step explanation:

Let the number = x

35% of x = 70

35/100 * x = 70                      Multiply by 100

35x = 70 * 100

35x = 7000                           Divide by 35

x = 7000/35

x = 200