Dilate the figure by the scale factor. Then enter
the new coordinates.
A(-2,4)
K=3
B(4,-1)
A'([?],[])
B'([10
C'( 10 )
C(-1,-2)

9514 1404 393

Answer:

  1340

Step-by-step explanation:

The perimeter of a rectangle of length L and width W is ...

  P = 2(L+W)

The perimeter of the rectangle outline of the figure is ...

  P = 2(315 +300) = 2·615 = 1230

That outline is the sum of all of the line segments making up the figure except for two lengths of 55 units each. Adding those, we find the perimeter of the figure to be ...

  P = 1230 +2(55) = 1230 +110 = 1340 . . . units

_____

Additional comment

It can be convenient to consider the total of horizontal segments and the total of vertical segments. We have shown in the attachment that, except for the 55-unit "indent", the horizontal and vertical lengths are equivalent to those of an ordinary rectangle. Thinking about the problem in this way makes it unnecessary to do the tedious arithmetic necessary to find each segment length. (Here, there is not enough information to do that anyway.)

Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

9514 1404 393

Answer:

  63.7% or 33.35 miles

Step-by-step explanation:

The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.

The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...

  y/38 +x/36 = 1

  19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount

Then the distance from the origin to the line is ...

  d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243

The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:

  x² + (26.1243)² = 31²

  x² = 31² -(684/√685)² = 190429/685

  x ≈  16.6733

The driving distance for which the transmitter is picked up is twice this, so is ...

  2x = 2(16.6733) ≈ 33.3466 . . . miles

The total drive length is also given by the Pythagorean theorem:

  drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles

Then the fraction of the drive during which the signal is picked up is ...

  fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%

__

The signal is picked up for 33.35 miles, about 63.7% of the drive.

______

The intercept-form equation for a line is ...

  x/(x-intercept) +y/(y-intercept) = 1

The distance from (x, y) to line ax+by+c=0 is given by ...

  d = |ax+by+c|/√(a²+b²)

The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:

  c² = a² +b²

Answer:

A rectangle has its Opposite sides Equal.

Draw one so you'd grab it better.

AB=CD

BC= AD

Since CD=AB and We're given AB=x+7...

CD = x + 7

OPTION B IS LEGIT!!

Step-by-step explanation:

By question , it's given that the X intercept is (5,0) and the y intercept is (0,8) . And we need to find the y-intercept of the graph of f(x) + 3 . For that , firstly let's find out the equation of the line.

[tex]\sf\implies y- y_1 = \bigg(\dfrac{y_2-y_1}{x_2-x_1}\bigg) ( x - x_1) \\\\\sf\implies y - 0 = \bigg(\dfrac{0-8}{5-0}\bigg)( x - 5 ) \\\\\sf\implies y = \dfrac{-8}{5}( x - 5 ) \\\\\sf\implies 5y = -8x +40 \\\\\sf\implies 8x + 5y - 40 = 0 [/tex]

Let us say that this is f(x) :-

[tex]\\\\\sf\implies f(x) = 8x + 5y - 40 \\\\\sf\implies \boxed{\sf\red{ f(x)+3 = 8x +5y -37 }}[/tex]

Plot its graph :-

We can either convert it into intercept form but plotting a graph can also be done to find y intercept .

[tex]\implies \boxed{\pink{\sf y - intercept = 7.4}}[/tex]

Refer to attachment for graph .

Hence the y Intercept is 7.4 .

Answer:

Step-by-step explanation:

Right side =

sin A / cos A + sinB/ cosB         (sinAcosB + sinB cos A ) *   cosA cosB

-------------------------------------    =          cosA cosB                (sinAcosB - snBcosA )        sinA/cosA -  sinB/cos B

= Left side.

The trigonometry identity [tex]\frac{sin(A+B)}{sin(A-B)}[/tex] is equals to [tex]\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex].

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

According to the given question.

We have a trigonometric identity.

[tex]\frac{sin(A+B)}{sin(A-B)} =\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex]

To prove the above  trigonometric identity we will show L.H.S = R.H.S

[tex]L.H.S=\frac{sin(A+B)}{sin(A-B)}[/tex]

⇒ [tex]L.H.S = \frac{cosBsinA-sinBcosA}{sinAcosB-cosAsinB}[/tex]

⇒ [tex]L.H.S = \frac{\frac{sinAcosB}{cosAcosB} + \frac{sinBsinA}{cosBcosA} }{\frac{sinAcosB}{cosAcosB}-\frac{cosAsinB}{cosAcosB} }[/tex]     (dividing the numerator and denominator by [tex]cosAcosB[/tex] )

⇒ [tex]L.H.S = \frac{\frac{sinA}{cosA} +\frac{sinB}{cosB} }{\frac{sinA}{cosA}-\frac{sinB}{cosB} }[/tex]

⇒ [tex]L.H.S = \frac{tanA+tanB}{tanA- tanB}= R.H.S[/tex]

Hence, L.H.S = R.H.S

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Answer:

4/10 8/20 16/40

Step-by-step explanation:

Answer:

missing angle=36 degree

Answer: 9 cherry ice pops

Step-by-step explanation:

if you bought 3 boxes and there is four orange one in each pack the that is

12 and 36 divided by 4 is 9 so there is 9 cherry ice pops

Answer:

how much are they selling them for

Answer:

Fossil > Arrow Head > Pottery > Shell > Fishbone > Fish Hook

Step-by-step explanation:

Arrowhead = ___20___ feet

Fishbone = __-10___ feet

Fish Hook = ___-40__ feet

Fossil = __30___ feet

Pottery = ___10___ feet

Shell = ____0___ feet

If something is above sea level, it would have a positive elevation, and if below sea level, a negative elevation.  And at sea level, you have 0 elevation.

After this, just put them in order of decreasing elevation.  So, the highest elevation is  30ft with the fossil, then 20 with the arrow head, pottery at 10, shell at 0, fishbone at -10, fish hook at -40.

Answer:

A - B = 11x² -9x + 14

A - B = 11x² -9x + 14

Answer:

Step-by-step explanation:

take 64 degree as reference angle

using cos rule

cos 64=adjacent/hypotemuse

0.43=QR/10

10*0.43=QR

4.3=QR

Answer: 61/100 would be the answer

9514 1404 393

Answer:

  table C

Step-by-step explanation:

The rates of change can be computed using the slope formula.

  m = (y2 -y1)/(x2 -x1)

The points used and the resulting "rate of change" are shown in the attachment.

Table C shows a rate of change (1/3) that is less than that of the graph (1/2).

_____

I like to use a spreadsheet for repetitive calculations, especially ones involving negative numbers. This helps prevent errors (and tedium). The formula is entered only once.

The table of values which has a smaller rate of change than the function in the graph is C.

This is defined as the ratio of the vertical change to the horizontal change between any two distinct points on a line.

Slope formula.

m = (y2 -y1)/(x2 -x1)

For table C = 4 -3 / -3 - (-6)

= 1/3

Table C shows a rate of change of 1/3 which is less than that of the graph at 1/2 .

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Answer: 72

Step-by-step explanation: LxWXH

3x3x8=72

Answer:

C

Step-by-step explanation:

C= 2* pi*r = 2* pi* 5 ≈ 31.4 cm

Answer:

then 2 are human

Step-by-step explanation:

because 4 are robots

Answer:

The rest are normal students.

6-4= 2 so that's how many normal students there are.

Please add a little bit more detail to the question please :)

Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:

20 mph

Step-by-step explanation:

Varies inversely

ts = k

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

It takes Danielle 24 minutes to get to work when he drives at an average speed of 30 mph

24(30) = 720

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

What is Danielle's average speed if he gets to work in 36 minutes.

36s = 720

s = 720/36

s = 20

20 mph

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

268 m²

Step-by-step explanation:

8x26=208

3x10x2=60

208+60=268

Answer:true

Step-by-step explanation:

just took the test < 3

The statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -

[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]

where -

f(x) = probability density function

σ = standard deviation

μ = mean

Given is that for a sample size of n = 26 and a population parameter of

p = 0.6, a normal curve can be used to approximate the sampling

distribution.

It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.

Therefore, the statement : "for a sample size of n = 26 and a population parameter of  p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.

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Answer:

33 plants

Step-by-step explanation:

6 x 550 = 3300

3300/100 = 33

Answer:

Yes 5+2y=13 is a linear relationship

Answer:

0.0416

Step-by-step explanation:

Given :

Number of balls :

Pink = 8 ; black = 9

Total number of balls = 8+9 = 17

Choosing with replacement :

Probability = required outcome / Total possible outcomes

Required outcome = number of black balls

Total possible outcomes = total number of balls

P(black) = 9/17

Number of picks = 5

Hence, Probability that all 5 picks are black :

P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879

= 0.0416

Answer: 166.666 mcgs

Step-by-step explanation:

If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

A ratio shows us the number of times a number contains another number.

Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,

IV fluid / Drug A = 300ml / 50 mcg

IV fluid / Drug A = 6 ml/ mcg

Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,

IV fluid / Drug A = 6 ml/ mcg

1000 ml / Drug A = 6 ml/ mcg

Drug A = 1000 ml / 6 ml/ mcg

Drug A = 166.667 mcg

Hence,  If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

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Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm