Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite and reciprocal slopes.

Answer:

first

2/5m + 8/5

second

22/5

third

11

Answer:

As we know each burger costs $5

There are 4 burgers

When you do 4×5 you will get 20

Now subtract that 20 from the total cost

24.50-20=4.5

$4.5 is how much it costs for 3 fries

If you're wanting to calculate the number for one thing of fries then divide that 4.5 by 3

4.5/3=1.5

For one thing of fries it will cost $1.5

I hope this helps :)

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

10 + 2(7 - 9x) = 5(2x - 12)

10 + 14 - 18x = 10x - 60

24 - 18x = 10x - 60

+60                 +60

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

84 - 18x = 10x

     +18x    +18x

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

84 = 28x

/28    /28

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

3 = x

Answer:

x = 3

Step-by-step explanation:

Do multiplication for the parenthesis terms, then add and subtract accordingly.

Answer:

im gonna say 40 in

Step-by-step explanation:

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

Answer:

66%

Step-by-step explanation:

33+17=50 total sodas.

50/100=0.5 or one percent of all sodas

33/0.5=66 percent

Step-by-step explanation:

1. 0.8

2. 0.6 repeted

3. 0.146 the 6 is repeated

4. 0.72 repeated

5. 0.23157894..

The centroid of an octant of a solid sphere is located at the point (r/3, r/3, r/3), where r is the radius of the sphere.

An octant is one-eighth of a solid sphere, so it is formed by cutting the sphere into eight equal parts along the x, y, and z axes. The centroid of a solid is the point at which the mass of the solid is evenly distributed, and for an octant of a sphere, this point is located at (r/3, r/3, r/3).

This can be determined by using the formula for the centroid of a solid, which is the average of the x, y, and z coordinates of all the points in the solid. For an octant of a sphere, the x, y, and z coordinates all range from 0 to r, so the average of these coordinates is r/3.

In conclusion, the point representing the centroid is (r/3, r/3, r/3).

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Answer:

{x | x ≠ -1, 2, 4}

Step-by-step explanation:

Domain: input values (x-values)

Asymptote: a line which the curve gets infinitely close to, but never touches.

Hole: a point on the graph where the function is not defined.

From inspection of the graph:

As vertical asymptotes and holes restrict the domain of a rational function, the domain is  {x | x ≠ -1, 2, 4}

Answer:

what

Step-by-step explanation:

??

Answer:

17.2 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 73 = x /18

18 sin 73 =x

17.21348561 =x

To the nearest tenth

17.2 =x

Answer:

0.875

Step-by-step explanation:

7 divide by 8

<3

Red

Answer:

0.875

Step-by-step explanation:

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

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

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

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

Answer:

The ball hits the ground when h(t) (the height) is equal to 0.

0=-4.9t^2+30t

0=t(-4.9t+30)

t=0 and t=6.1224…

So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.

:)

Answer:

22.

Step-by-step explanation:

If lines A and B are parallel to each other, then 4x + 28 = 116.

4x + 28 = 116

4x = 88

x = 22.

The dollar number that defines where the lowest values falls is

20% percentile value =$20

This is further explained below.

Generally,  Now we need to determine the 20th percentile ($20). It indicates that we need to locate a dollar amount that marks the point at which the 20 % data has a value lower than that number.

i=(p/100)*n

Where i is the position of p^th

percentile when the data is presented in ascending order.

i=20/100*50

i=1000/100

i=10

Therefore

n=50

p=20

In conclusion, the 10th position for given data is 20,

Therefore, 20% percentile value =$20

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Answer:

what are the options

Step-by-step explanation:

geologic features can occur anywhere on earth, these features are formed by the movements of earth's plates.

Answer:

B

Step-by-step explanation:

from the equation of motion

h=ut -1/2 at^2

Answer: It is not a right triangle as it has no right angles in it but it is a parallelogram.

Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

ans :- 7.5 ml

The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

From the question, we have the following parameters that can be used in our computation:

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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The number of listens he might anticipate the music to receive 21 days after it was released using an exponential function model for this situation is 89202.

The formula for an exponential function is f (x) = \(a^{x}\), where x is a variable and an is “a” constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis. As mentioned in que the number of listens increases exponentially with days here we will use this function .

Given,

         No. of listens on day 1 = 500

         No. of listens after day 5 = 1725

Required,

         No. of listens after day 21=?

We are required to find the mathematical relation between No. of days and No. of listens.

Let ‘t’ be No. of days and ‘y’ be No. of listens;

Therefore, y(t)=\(ab^{t}\)

Where ‘a’ and ‘b’ are constants.

Now, using the given data,

y(0)=\(ab^{0}\)=500

          a=500

      y(5)=500\(b^{5}\)=1725

          \(b^{5}\)=\(\frac{1725}{500}\)

           b=1.28

Now we have ‘a’ and’ ‘b’ values, substituting in our equation we get,

y(t)=\(500(1.28)^{t}\)

Putting  t=21 in above equation we can find our final answer i.e.

                                                         y(21) =\(500(1.28)^{t}\)

                                                                  =[89202.9]

                                                                  =89202

Where [89202.9]  =Greatest Integer Function , since No. of listens will always be an integer value.

Therefore No. of listens after 21 days =89202.

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The probability of the three cars parking in adjacent spaces is 1/11. Let the three cars be A, B, and C, and we want to determine the probability that they can park in adjacent spaces.

There are 20 choose 15 = 15504 ways to park 15 cars in 20 spaces. We need to count the number of ways in which we can park the three cars in adjacent spaces. We will consider the cars as one unit, ABC. This unit can be parked in any of the 18 possible adjacent spaces (since 3 spaces are occupied).

Once this unit is parked, there are 17 spaces left in which to park the other two cars. We can choose these two spaces in 17 choose 2 = 136 ways.

Then, there are 2! = 2 ways to arrange the two remaining cars (since one is to the left of the ABC unit, and the other is to the right of the ABC unit).

Thus, the probability of parking in adjacent spaces is:(18 * 136 * 2!) / (20 choose 15)

= 7/77

= 1/11

So, the probability of the three cars parking in adjacent spaces is 1/11.

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The length of |PR| as shown in the diagram is 9.3.

Length is the distance between two points.

To calculate the length of PR, we use the formula below

Note:

Formula:

From the question,

Given:

Substitute these values into equation 1 and solve for y

Hence,  |PR|  = 9.3

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Answer: 1 hour and 37 mins

Step-by-step explanation: add 4 mins to 12:56 to get 1:00 then add 1:33 to get 2:33 then add 1:33+0:04.

11 is the solution to the given linear expression.

Linear equations are equation that has a leading degree of 1. Given the expression below;

2(x+7) = 36

Expand the bracket

2x + 2(7) = 36

2x + 14 = 36

Subtract 14 from both sides

2x + 14 - 14 = 36 - 14

2x = 22

x = 22/2

x = 11

Hence the value of x from the given expression is 11.

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