Uniform circular motion is used in physics to describe the motion of an object traveling at a constant speed in a circle. The speed of the object is called tangential velocity and it can be calculated using the formula above, where r is the radius of the circle and T is the time is takes for the object to make one complete circle, called a period. Which of the following formulas could be used to find the length of one period if you know the tangential velocity and the radius of the circle?

Answer:

Perimeters is 32.44 unit and area is 30 square unit.

Answer:

Two trail maps:

Trail on the first map is 8 cm

Trail on the second map is 6 cm

Scale on first map is 1 cm : 2 km

A. What is the scale factor from the map to the actual trail? 

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km. 

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm 

B. The length of the actual trail is 16 kilometers. 

Answer:

Given:  

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?  

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.  

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm  

B) The length of the actual trail is 16 kilometers.  

Step-by-step explanation:

ANSWER

The vertex is (1,-3)

EXPLANATION

The given parabola has equation:

[tex] {y}^{2} + 6y + 8x + 1 = 0[/tex]

We group the variables to obtain:

[tex]{y}^{2} + 6y = - 8x - 1 [/tex]

We complete the square to get,

[tex]{y}^{2} + 6y + {3}^{2} = - 8x - 1 + {3}^{2} [/tex]

[tex] {(y+ 3)}^{2} = - 8x +8[/tex]

[tex] {(y+ 3)}^{2} = - 8(x -1)[/tex]

The vertex is of the parabola is (1,-3)

Answer:

(-1,-3)

Step-by-step explanation:

Andy gets 222 minutes of extra computer time for every math fact he completes. To find out how many extra minutes he got in a specific month, multiply the number of math facts he completed in that month by 222.

To find out how many extra minutes Andy got in February, we need to know how many math facts he completed in February. Let's say he completed x math facts in February. Since Andy gets 222 minutes of extra computer time for every math fact he completes, the total extra minutes he got in February can be calculated by multiplying the number of math facts he completed in February (x) by 222.

So, the total extra minutes Andy got in February is 222x.

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Answer:

i think it is 5:17

Step-by-step explanation:

length=50

perimeter=170

the highest factor of 50 and 170 is 10 so the answer will be 5:17

hopefully this made sense

Answer:

[tex]y-12=-\frac{3}{4}(x+4)[/tex]

Step-by-step explanation:

we know that

The equation of the line into slope point form is equal to

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex](x1,y1)=(-4,12)[/tex]

[tex]m=-\frac{3}{4}[/tex]

substitute

[tex]y-12=-\frac{3}{4}(x+4)[/tex]

Answer:

x=7

Step-by-step explanation:

Equate the angles 7x-7 and 4x+14 and solve:

7x-7 = 4x+14

7x-4x = 14+7

3x = 21

x = 7

Answer:

x = 7

Step-by-step explanation:

Alternate interior angles are equal. Alternate interior  angles look like these two angles.

7x - 7 = 4x + 14             Add 7 to both sides

7x - 7 + 7 = 4x + 14+7   Combine

7x = 4x + 21                  Subract 4x from both sides

7x-4x = 4x - 4x + 21      Combine

3x = 21                          Divide by 3

3x/3 = 21/3                    Do the division

x = 7  

The diagonal of a box is found by the formula:

Diagonal = √(length^2 + width^2 + height^2)

Diagonal = √(13^2 + 12^2 + 30^2)

Diagonal = √(169 + 144 + 900)

Diagonal = √1213

Diagonal = 34.828

Rounded to nearest hundredth = 34.83 inches.

Answer:

34.83 in

Step-by-step explanation:

See attached

Answer:

  y = -1/4

Step-by-step explanation:

  y/5 +3/10 = (y+2)/7

The LCD is 10·7 = 70. Multiplying the equation by 70 gives ...

  14y +21 = 10(y +2)

  14y +21 = 10y +20 . . . . eliminate parentheses

  4y + 21 = 20 . . . . subtract 10y

  4y = -1 . . . . . . . . . subtract 21

  y = -1/4 . . . . . . . . .divide by 4

_____

Check

  (-1/4)/5 +3/10 = (-1/4 +2)/7 . . . . . substitute for y

  -1/20 +6/20 = (7/4)/7 . . . simplify a bit, rewrite 3/10

  5/20 = 1/4 . . . . . . . . . . true

For this case we have that the area of the kite is formed by the ara of two triangles with the same base of[tex]9 + 9 = 18[/tex] meters and one with height 9 meters and another with height 6 meters.

So:

[tex]A = \frac {1} {2} b * h + \frac {1} {2} b * h\\A = \frac {1} {2} 18 * 9 + \frac {1} {2} 18 * 6\\A = \frac {1} {2} 162+ \frac {1} {2} 108\\A = 81 + 54\\A = 135 \ m ^ 2[/tex]

ANswer:

Option B

Answer:

135 m^2

Step-by-step explanation:

Gradpoint approved, good luck guys.

Answer:

5/4

Step-by-step explanation:

Answer:

  52

Step-by-step explanation:

Put the numbers in the expression and do the arithmetic.

  (-8)² - |-12| = 64 -12 = 52

[tex]\displaystyle\sum_{n=2}^{91}(3n+8)=\sum_{n=1}^{91}(3n+8)-a_1=(*)\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\a_1=3\cdot1+8=11\\n=91\\a_n=3n+8\\d=a_n-a_{n-1}\\a_2=3\cdot2+8=14\\d=14-11=3\\a_{91}=11+(91-1)\cdot 3=11+90\cdot3=281\\\\S_{91}=\dfrac{11+281}{2}\cdot91=146\cdot91=13286\\\\(*)=13286-11=\boxed{13275}[/tex]

Answer:

The quotient is: 3x-7

The remainder is: 0

Step-by-step explanation:

We need to divide 9x^2 - 18x - 7 ÷ (3x + 1)

The Division is shown in the figure attached.

The quotient is: 3x-7

The remainder is: 0

Answer:

  175 hot dogs

Step-by-step explanation:

The new price will be $3.85 + 0.55 = $4.40. Since the price has increased by a factor of 4.40/3.85 = 8/7, the number of hot dogs sold, which is inversely proportional, will be ...

  (7/8)·200 = 175 . . . hot dogs sold at the higher price

The vendor can expect to sell approximately 233 hot dogs if the price is increased by 55 cents.

To determine how many hot dogs the vendor can expect to sell if the price is increased by 55 cents, we can use the inverse proportionality relationship between the number of hot dogs sold and the price charged.

First, let's set up a proportion with the initial price and number of hot dogs sold:

$3.85 / 200 = (new price + $0.55) / x

Next, we can cross multiply and solve for x:

x = (200 * ($3.85 + $0.55)) / $3.85

Calculating this expression gives us a value of x ≈ 233.77.

Since the number of hot dogs sold must be a whole number, we round down to the nearest whole number, giving us an estimated value of 233 hot dogs.

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Answer:

C. withdrawl of $1000 from a checking account

Step-by-step explanation:

When you withdraw money from a checking account, you lose the amount of money which you withdraw.  In this situation, you are withdrawing $1000, which means you have -1000 dollars in your checking account

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For more questions or more information, please comment below!

Answer:

56

Step-by-step explanation:

from observing the graph between x=-3 and x = 1.5, we can see that the highest most point of the graph (i.e the maximum) value occurs at x=-1.6, y = 56

Hence the maximum y-locatoin is 56

Answer:

B) 56

Step-by-step explanation:

Answer:

  539

Step-by-step explanation:

The 007C requires the least significant two digits be in the range 35-39. In order for the 10-thousands digit to be zero, the sum of 1000 times the least digit of Genet's number and 2 times the hundreds digit must result in a sum with no thousands. About the only way to do that is to make the least digit 9 and the hundreds digit 5.

Then you have ...

  539 × 1002 = 540078 . . . . . ABC =548

Answer:

1/5; 20%

Step-by-step explanation:

If she is only choosing 2 shirts, and they both have to be white, the probability of choosing those 2 white shirts out of 10 white shirts is 2/10 or, equivalently, 1/5.  In percent form, this is 20%

The probability of a woman randomly choosing two white shirts from a collection of 14 shirts (10 white and 4 red) is approximately 49%, derived through the process of combinations calculation in the field of probability.

The question relates to the field of probability in mathematics. To calculate her probability of selecting two white shirts, we first need to understand the number of total possible outcomes when she is selecting 2 out of the 14 shirts. This is represented by the combination formula C(n, r) = n! / r!(n-r)!, where n is the total number of items to choose from and r is the number of items to choose. Using this combination formula, we find that there are C(14, 2) = 91 total possible combinations of shirts she could end up with.

Next, we need to find the number of combinations that involve her picking 2 white shirts. As there are 10 white shirts, this is represented by C(10, 2) = 45. So, the probability of her taking two white shirts is then the number of desired outcomes divided by the total number of outcomes, or 45 / 91 which simplifies to approximately 0.4945 or 49% when rounded to the nearest whole percent.

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Answer:

Step-by-step explanation:

The area of a triangle is:

A=05*b*h

b= base = x

h = height = x-12

A = (1/2)(x)(x-12)

Answer:

2.5 kg

Step-by-step explanation:

Parts of compost = 2 parts

Parts of potting soil = 6 parts

Total parts = 2 parts + 6 parts = 8 parts

from the above, we can see that 2 out of 8 parts of the total mix is compost,

i.e compost makes up [tex]\frac{2}{8}[/tex] of the total mix.

Given: total mix is 10 kg,

the amount of compost is then [tex]\frac{2}{8}[/tex] x 10 kg = 2.5 kg

Answer:Your answer is 2.5

Step-by-step explanation:

Answer:

  A. This is a linear function because there is a common difference of 2

Step-by-step explanation:

Differences are ...

The differences of 2 are common, so this is an arithmetic function.

Option: A is the correct answer.

A.   This is a linear function because there is a common difference of 2.

Linear function--

A function is said to be linear if the rate of change is constant.

i.e. the function is increasing by a fixed constant.

Here the table is given by:

Hour (x) Number of Customers f(x)

    1               3

    2                  5

    3                  7

From the table of values we observe that as the value of increasing by 1 the value of y is increasing by 2.

i.e. the rate of change is constant i.e. 2.

Also, the common difference is 2.

since,

5-3=2

and 7-5=2

Hence, the table represents a linear function.

Answer:

250 tickets

Step-by-step explanation:

300/1.2 or 120%

= 250 tickets

Answer:

250 tickets

Step-by-step explanation:

Answer:

The equation is 5x + 10y = 800

Step-by-step explanation:

* Lets explain what is the equation and how can we make one

- The equation is a mathematical statement that two things are equal.

- It consists of two expressions, one on each side of an equal sign (=).

* Lets solve the problem

- There are two types of vehicles, large one and small one

- The cost of washing the small vehicle is $5

- The cost of washing the larger vehicle is $10

- They collected from washing both is $800

- To make an equation for the amount collected let the number of the

 small vehicles is x and the number of the large vehicles is y

∵ x is the number of the small vehicles were washed

∵ y is the number of the large vehicles were washed

∵ The cost of washing the small vehicle is $5

∵ The cost of washing the larger vehicle is $10

∴ The money collected from the small vehicles = 5 × x = 5x

∴ The money collected from the large vehicles = 10 × y = 10y

- find the total money collected from both

∴ The amount of money collected from both = 5x + 10y

∵ The amount of money collected is $800

- Equate the two expressions above

∴ 5x + 10y = 800

* The equation is 5x + 10y = 800

Answer:

tanB=b/a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation for the y-axis is x = 0. Your shading is to the left of that, so the inequality will be x ≤ 0.

The blue line has a rise of 3 for a run of 4, so its slope is 3/4. It intercepts the y-axis at y=-5, so the slope-intercept equation for that line is y = 3/4x -5. Since the shading is below that solid line, the inequality is ...

  y ≤ 3/4x -5

For this case we have to define trigonometric relations of rectangular triangles that, the cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle. That is, according to the data of the figure we have:

[tex]Cos (45) = \frac {6} {h}[/tex]

Where:

h: It's the hypotenuse

So:

[tex]\frac {\sqrt {2}} {2} = \frac {6} {h}[/tex]

We cleared h:

[tex]h \sqrt {2} = 6 * 2\\h \sqrt {2} = 12\\h = \frac {12} {\sqrt {2}}[/tex]

We rationalize:

[tex]h = \frac {12 \sqrt {2}} {(\sqrt {2}) ^ 2}\\h = \frac {12 \sqrt {2}} {2}\\h = 6 \sqrt {2}[/tex]

Answer:

Option C

ANSWER

[tex] 6\sqrt{2} \: units[/tex]

EXPLANATION

This is an isosceles right triangle.

The two legs of an isosceles right triangle are equal, hence each of them is 6 units each.

Let h be the hypotenuse, then from the Pythagoras Theorem,

[tex] {h}^{2} = {6}^{2} + {6}^{2} [/tex]

[tex]{h}^{2} = {6}^{2} \times 2[/tex]

Take square root of both sides;

[tex]{h} = \sqrt{ {6}^{2} \times 2 } [/tex]

[tex]{h}= \sqrt{ {6}^{2} } \times \sqrt{2} [/tex]

[tex]{h} = 6\sqrt{2} \: units[/tex]

The correct answer is C

Answer:

The answer is (D): 2 h 52 min

Step-by-step explanation:

write these equations separately as functions:

A(x)=15+0.02m

B(x)=4.69+0.08m

Since we want to find when they are equal, set them equal to each other:

15+0.02m=4.69+0.08m

simplifying this equation gives

10.31+0.02m=0.08m

subtract 0.02m from both sides

10.31=0.06m

divide both sides by 0.06

m=171.833 etc approximately equals 172 minutes

172 min/60=

2 hours and 52 min

Hope this helps!

Answer:

  2 h 52 min

Step-by-step explanation:

Let m represent the number of minutes that will make the plans have equal cost. Equating the two plan costs, we have ...

  15.00 + 0.02m = 4.69 + 0.08m

  10.31 = 0.06 m . . . . . subtract 4.69+0.02m

  10.31/0.06 = m = 171.8333... ≈ 172 . . . . minutes at equal cost

There are 60 minutes in an hour, so ...

  172 minutes = 120 minutes + 52 minutes = 2 hours + 52 minutes

Plan A will cost the same as Plan B for 2 h 52 min of usage.

I can't give you the correct answer but you can guess for it, cause I can give you the the scop of the length of KL.

So, as we know this;

The sum of the two sides of a triangle is greater than the third and the difference between the two sides is less than the third.

10+5 >= KL >= 10-5

15 >= KL >= 5

based on your option, the answer should be:

9 in