For the rhombus below, find the measures

A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).

Given that:

AS = 480 miles per hour at a bearing of N82°E

GS = 518 miles per hour at a bearing of 79°E

We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.

WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))

WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour

Then we can use the angle between AS and WS to find the direction of the wind:

Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.

Given that:

AS' = 500 miles per hour at a bearing of N82°E

GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))

GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour

The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

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The equation of the line will be y = -2/3x + 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line passes through points (9, -1) and (6, 1).

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 1 - (-1) / ( 6 - 9 )

Sloe = - 2 / 3

The y-intercept will be calculated as,

y = mx + c

-1 = (-2/3) x 9 + c

c = 5

The equation of the line,

y = mx + c

y = -2/3x + 5

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Answer:The following list of data represents highway fuel consumption in miles per gallon. (mpg) for  Hint: you will need to calculate the midpoint for each class. Age (yrs)  C. What percentage of women are between 62.5 inches and 67.5 inches? 65. 68 ... If the top 15% of the students get A's, what is the cut-off score for an A? 75.

Step-by-step explanation:

sorry if this is wrong

Percent students having height between 62 & 64 inches, is 25%

As per the linear presentation, data is spread evenly between 58 to 66 inches.

The total 100% students are divided evenly in 8 segments, from 58 - 59 inches to 65 - 66 inches. So each segment has 100 / 8 = 12.5%

Hence, percentage students having 62 to 64 inches has 2 unit segments. They are 12.5 x 2 = 25% students.

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Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]

Answer:

X=11

Step by step:

6x-3(x+8)=9

=6x-3x-24=9

=3x-24=9

      +24   +24

=3x=33

=3x/3=33/3

X=11

Teo can fill 28 glasses in  4 2/3 pitches of juice.

Teo  has 4 2/3 pitches of juice.

First we write the improper fraction (mixed fraction) as a proper fraction.

4 2/3

= [(4 × 3) + 2] / 3

= (12 + 2) / 3

= 14/3

One glass holds 1/6 of a pitcher.

Let m number of glasses hold 14/3 pitches of juice.

By unitary method,

m × (1/6) =  14/3

To find the value of m we need to divide fractions.

m = (14/3) / (1/6)

m = (14/3) × (6/1)

m = 14 × 2

m = 28

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Answer:

multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

then you will subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

= $336. 38(round off)

Answer:

1/2

Step-by-step explanation:

simlified would be 1/2

Answer:

x - 8 = 10

Step-by-step explanation:

The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.

Answer:

288 in.

Step-by-step explanation:

when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume

6 in. x 12 in. x 4 in. = 288 in.

Answer:

Step-by-step explanation:

Nothing further can be done with this topic

So, your answer would have to be 2a+3d

Answer:

58

Step-by-step explanation:

rurjrjirudhdbbxhxiidiejr

Answer:

x =−1−√93/23,−1+√93/23

Step-by-step explanation:

x=0.37581090…,−0.46276742...

Answer:

No, 8:2 = 4:1 which is less than 5:1

Step-by-step explanation:

Answer:

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[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]

[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]

8 : 2 = 4, while 5 : 1 = 5.

4 < 5.

•°• 8 : 2 is not greater than 5 : 1.

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The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

The equivalent is the expression that is in different forms but is equal to the same value.

Simplify all the equations, then we have

A. 2 + x = 5, to simplify the equation, then we have

2 + x = 5

x = 3

B. x + 1 = 4, to simplify the equation, then we have

x + 1 = 4

x = 3

C. 9 + x = 6, to simplify the equation, then we have

9 + x = 6

x = - 3

D. x + (- 4) = 7, to simplify the equation, then we have

x - 4 = 7

x = 11

E. - 5 + x = - 2, to simplify the equation, then we have

- 5 + x = - 2

x = 3

The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

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Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

2( x² + 8x+ 16) = 2               Applying the square formula

2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

x2 + 8x + 15 = 0------------eq 1

x2 + 8x + 15 = 0-------------eq 2

(x − 5)2 = 1

x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

x²-10x+24= 0-------------eq 3

x2 − 10x + 26 = 0 -------------eq 4

3(x − 1)2 + 5 = 0

3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6

Answer:

a = 22.5

Step-by-step explanation:

1.7a+0.3a=45

Add like terms

2a = 45

Divide by 2

2a/2 = 45/2

a = 22.5

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[tex]\maltese[/tex]1.7a+0.3a=45

[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]

Answer:

y=-3/5x-3/5

Step-by-step explanation:

I started off by finding the slope by using the slope formula. then i plugged in one of the ordered pairs into thr slope intercept form to find the value of b.

Answer:

16. 68

17. 97

18. 81

19. 96

20. 84.2

Step-by-step explanation:

A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:

68, 75, 77, 79, 80, 82, 92, 96, 96, 97

Just by looking at the data, the minimum is 68 and the maximum is 97.

Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:

68, 75, 77, 79,   80, 82,    92, 96, 96, 97

To find the median, we just find the mean of 80 and 82, which is 81.

The mode is the number that repeats the most, and that number is 96.

Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:

(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10

842 / 10

84.2 would be the mean.

Answer:

Area of circle = 9π square unit

Step-by-step explanation:

Given:

Height of cylinder = 12 units

Base diameter of cylinder = 6 units

Find:

Area of base

Computation:

Base Radius of cylinder = Base diameter of cylinder / 2

Base Radius of cylinder = 6 / 2

Base Radius of cylinder = 3 unit

Area of circle = πr²

Area of circle = (π)(3)²

Area of circle = 9π square unit

Answer:

Option B, 9 pi square units.

Step-by-step explanation:

Answer:

12/20 and 11/20.

Step-by-step explanation:

The least common denominator between 3/5 and 11/20 is 20.

For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.

The second equation already has a denominator of 11/20 so we can leave it as is.

Answer:

b^=118

the mzb is 42 we add each numbers by 42

The number of adults at the public pool that day is 284 and the number of children is 147.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Let x be the number of adults and y be the number of children who used the swimming pool.

Total number of people used the swimming pool = 431

x + y = 431

Daily price for adults = $2.00

Daily price for children = $1.50

Total amount for admission = $788.50

2x + 1.5y = 788.5

We got two linear equations here :

x + y = 431 and 2x + 1.5y = 788.5

x + y = 431 ⇒ x = 431 - y

Substituting this in second equation,

2(431 - y) + 1.5y = 788.5

862 - 2y + 1.5y = 788.5

-0.5y = -73.5

y = 147

x = 431 - 147 = 284

Hence the number of adults is 284 and the number of children is 147.

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Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.

Answer:

0-1  Integers are whole numbers

Step-by-step explanation:

The examples for each of the quadrant is explained below.

Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.

Here we have to know the value that must be placed on each quadrant.

Here the first quadrant has both x and y-coordinates are positive.

The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.

The third quadrant has both x and y-coordinates are negative.

The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.

Therefore, the example for each of them are written as

=> Quadrant I = (1, 1)

=> Quadrant II = (-1, 1)

=> Quadrant III = (-1, -1)

=> Quadrant IV = (1, -1)

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Answer:

What is the question???

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Because if you were finding the quotient, you would divide, then subtract 4.

Answer:

m=4

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

The shape on the right is 2/3 times smaller than the shape on the left.

This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.

Take a look.

[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]

[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]

Therefore, the value of the missing side length, m, is 4.

Answer:

Step-by-step explanation:

Answer is choice A

Both functions are decreasing at a rate of -2. You can find this by finding the slope.