Segment AB has a midpoint M. If A is located at (4, 2) and M is located at (7, -3), what are the coordinated of B?

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

The box-whisker plot is missing. Check the attachment for the data.

The least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these, depict the minimum point and the median (50% of data), of the given box-whisker plot.

The least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.

A box-whisker plot is a diagrammatic representation of data. The whiskers start from the minimum data and go up to the maximum. In between the whiskers is a box that starts from the first quartile of the data (below which 25% of the data lies) and goes up to the third quartile (below which 75% of the data lies). In between the box is a line, that indicates the median of the data. The median is the value of the middlemost data.

In the question, we are given a box-whisker plot, showing the different costs of trail mix at different prices per pound.

1. We are asked how much the least expensive 50% of trail mix costs.

We know that 50% of data is depicted at the median which is the line in between the box in a box-whisker plot. So the least expensive 50% is shown before the line.

The minimum point in the data is $1.25 and the median is $2.75.

Hence, the least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these depict the minimum point and the median (50% of data), of the given box-whisker plot.

2. We are asked to find the least cost of 4 pounds of the trail mix.

We know that the starting point of the whisker shows the minimum point in the data. Hence, the least cost of the trail mix is $1.25 per pound.

So, the cost of 4 pounds is $1.25 * 4 = $6.00.

Hence, the least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.

Learn more about the box-whisker plots at

https://brainly.com/question/15841848

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area of triangle formula = ½ × B × H

28in2 = ½ × B × (8)

28in2 = 4 × B

28 ÷ 4 = B

Therefore, length of base = 7 inches

i hope my solution helps :))

Equation is;

[tex]3300.\frac{18}{100}[/tex]

33.18=594 paund :)

Answer:

71º

Step-by-step explanation:

since it is a complementary angle equal 90 degrees total

so 90° - 19 = 71

Answer:

6

Step-by-step explanation:

6+14=20

40/2+20

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

Answer:

18/root(14)

Step-by-step explanation:

x=54

y=126

x/root(y)

54/root(126)

54/root(3x3x14)

54/3(root(14))

18/root(14)

Answer:

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

Hence the length of TU is 5

Answer:

Step-by-step explanation: the answer is 5

Answer:

Step-by-step explanation:

-2y^2 + 6y - 1 + 4y^2 + 3y - 9

2y^2 + 9y - 10

Answer:  see below

Step-by-step explanation:

Write each equation in y = mx + b format where m is the slope and b is the y-intercept.

Left side: -4 ≤ x < -1

If you continue the line through the y-axis it will pass through (0, 4) --> b = 4

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (4)   -->    y = -x + 4

Right side: -1 < x < 4

The line passes through (0,0) --> b = 0.

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (0)    -->    y = -x

[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]

Answer:

[tex]50(3x-y)[/tex]

Step-by-step explanation:

You just gave an expression, therefore:

[tex]50x+100x-50y[/tex]

[tex]150x-50y[/tex]

[tex]50(3x-y)[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \, \;\; \;\; 150x+-50y $ } }\\[/tex]

Step-by-step explanation:

Let's simplify.

[tex]50x+100x-50y[/tex]

To solve this, we will have to combine the like terms.

[tex]50x+100x+-50y[/tex]

Let's add parenthesis.

[tex](50x+100x)+(-50y)[/tex]

This equals:

[tex]150x+-50y[/tex]

Hope this helps!

Answer:

I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.

Step-by-step explanation:

Answer:

5 footballs were sold for every 2 basketballs sold.

Step-by-step explanation:

2.5 times as many football as basketball was sold last year

This can be represented as

1 basket ball sold = 2.5 footballs sold

for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs

Step-by-step explanation:

3x-4x>-1/2-5/8

-x>-9/8

x<9/8

Answer:

4.5

Explanation:

add up all the numbers and divide by the amount

Answer: 3x-x+2=4

Step-by-step explanation:

Answer:

The square root of 4 is 2

Step-by-step explanation: If you multiply 2*2 it will equal and divide 4/2 you will get 2 so it is 2

Answer:

D. $15,219.20

Step-by-step explanation:

given:

The automobile that he is interested in has a sticker price of $18,560.

If his discount is 18 percent,

find:

what is the price that Dao will pay?

solution:

sale price =   $18,560 - (0.18 x  $18,560) =  $15,219.20

therefore,

Dao will pay $15,219.20

the answer is D.

im taking the test right now..

Answer:

[tex]u<-1\text{ or } u>2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-3|2-4u|+5<-13[/tex]

First, subtract -5 from both sides:

[tex]-3|2-4u|<-18[/tex]

Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:

[tex]|2-4u|>6[/tex]

Definition of absolute value:

[tex]2-4u>6\text{ or } 2-4u<-6[/tex]

Note that we flip the sign on the right because we multiplied 6 by a negative.

On both the left and right, subtract 2:

[tex]-4u>4\text{ or } -4u<-8[/tex]

Divide both equations by -4. Since we're dividing by a negative, flip the signs:

[tex]u<-1\text{ or } u>2[/tex]

So, our final solution is:

[tex]u<-1\text{ or } u>2[/tex]

And we're done!

Answer:

true, theres nothing inside the parenthesis meaning that you remove it as a first step

Step-by-step explanation:

Answer:

x = 135°

Step-by-step explanation:

Sum of interior angles of a pentagon is 540°

x + 80 + 110 + 95 + 120 = 540

--> x = 540 - 80 - 110 - 95 - 120 = 135

Answer:

1800 people were at the concert.

Hello there! :D

Its math time!!

Alright, let's write out all the percentages.

60%= adults

25%= boys

There are thirty girls.

We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.

60+25= 85

100-85=15

So, 15% of the audience are girls. That is equal to 30 people.

I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.

30*4= 120 adults

We can also take 15 and divide it by 3 (as well as 30)  so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.

15/3= 5%

30/3=10

Now we just need to know how many fives go into 25, which is 5.

5*10= 50

Add that to the number of adults and girls:

50+120+30= 200 people

There are 200 people at the concert!

I hope this helped you and you have a wonderful day,

Kai xx

Answer:

Step-by-step explanation:

B:Convert the fractional part only then add it to the whole number.

C :  9 1/2,3π,92/5,91/10

B : √26,5.5,5.8,31/5

B: -7,20/3, 7.1 ,√51 , 6π

C: -π , -√5 , -3/2,-1.03

15°c = 59°f

because :

(15 °C × 9/5) + 32 = 59 °F

===

so to the nearest tenth its doing 60°f

Answer:  y = -8x + 9

Step-by-step explanation:

The slope intercept form formula says that y=mx +b  where m is the slope and b is the y-intercept so input  the value for m and b to write the equation.

Answer:

[tex]\huge\boxed{IJ = 9}[/tex]

Step-by-step explanation:

Given that J is on line segment IK.

So, it is like:

I______?_______J___6___K

|<--------------------15---------------->|

We know that:

IK = IJ + JK

Where IK = 15 and JK = 6

15 = IJ + 6

Subtracting 6 to both sides

IJ = 15 - 6

IJ = 9

Answer:

Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Edg. 2020

Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..

Step-by-step explanation:

Answer:

SteYou choose!  Maybe you always wanted to do a marathon!  Now you can do it over the 15 days of the virtual race...at your own speed!

1M, 5K, 10K, half marathon or marathon options

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