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Answer:

Area of the quadilateral = 35 square units.

Step-by-step explanation:

The coordinates of the quadilateral DEFG are given as

D(6,1), E(2,4), F(-5,4) and G(-1,1).

To obtain the area, we need the length of each of the quadilateral's sides.

The length of each side is the distance between the coordinates given.

The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(y₁ - y₂)² + (x₁ - x₂)²]

The lengths of the quadilateral's sides include DE, EF, FG and GD

DE = distance between D(6,1) and E(2,4)

DE = √[(1 - 4)² + (6 - 2)²]

DE = √(9 + 16) = 5 units

EF = distance between E(2,4) and F(-5,4)

EF = √[(4 - 4)² + (2 - -5)²]

EF = √(0 + 49) = 7 units

FG = distance between F(-5,4) and G(-1,1).

FG = √[(1 - 4)² + (-1 - -5)²]

FG = √(9 + 16) = 5 units

GD = distance between G(-1,1) and D(6,1)

DE = √[(1 - 1)² + (-1 - 6)²]

DE = √(0 + 49) = 7 units

The dimensions of the quadilateral show that it is a rectangle.

The area of a rectangle = (length) × (width)

Length = 7 units

Width = 5 units

Area of the quadilateral = 7 × 5 = 35 square units.

Hope this Helps!!!

Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32

And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s

A= (base 1 + base 2 divided by 2) * height

P= a+b1+c+b2

Step-by-step explanation:

Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

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Answer:

Yes, changing from 3 states to 6 states changes the median because:

- The median of the first 3 states is simply the middle-placed state of the 3 states.

- The median of 6 states is the average of the 2 middle states.

Step-by-step explanation:

Suppose the first 3 states in order are:

A, B, C.

The median of these states is simply the middle state, B.

Adding 3 new states to have:

A, B, C, D, E, F.

The median is not explicit. It is the average of the two middle states, C and D.

Average of C and D is half of the sum of C and D.

That is (C + D)/2.

Which is different from B.

Answer:

16

Step-by-step explanation:

The run is the amount in the x direction

-8 to 8 = 16 units

(8- - 8) = 8+8 = 16

The run is 16

Answer:

40%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

First, find how many girls are in the class

There are 12 boys. The rest of the 30 students will be girls.

12+g=30

Subtract 12 from both sides to get the variable by itself

12-12+g=30-12

g=18

There are 18 girls.

Now, we have to find the percent.

To do this, divide the part: the girls, by the whole: the entire class

part/whole

girls/class

There are 18 girls, and 30 students in the whole class

18/30

0.6

Convert 0.6 to a percent by multiplying by 100, or moving the decimal place 2 spots to the right

0.6*100=60

0.6--> 6.0--> 60.

So, 60% of the class is made up of girls

Answer:

6.8556546004

Step-by-step explanation:

sqrt(47)=

6.8556546004

The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula can be derived as follows:

x² + b/ax +c/a = 0

x² + b/ax  = -c/a

x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]

(x + b/2a)² = b²/4a² - c/a

x + b/2a = √(b²/4a² - c/a)

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.

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Answer:   THE CORRECT ANSWER IS    Factoring a perfect square trinomial

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)

Answer:

They made and sold 7 masks with elastics in the month of April.

They made and sold 20 masks that tie in the month of April.

Step-by-step explanation:

Let the number of masks with elastic made and sold be x

And the number of masks that tie made and sold be y

Since the price of making one mask with elastic is $1.70

The total amount spent on making x masks with elastic = 1.7x

The price of making one mask that ties is $1.30

The total amount spent on making the masks that tie = 1.3y

Total cost price = 1.7x + 1.3y = 37.90 (eqn 1)

They are selling the masks with elastics for $5.60 and the masks that tie for $5.40.

Total revenue made from selling x masks with elastic = 5.6x

Total revenue made from selling y masks that tie = 5.4y

Total revenue = 5.6x + 5.4y = 147.20 (eqn 2)

Writing the two equations together

1.7x + 1.3y = 37.9

5.6x + 5.4y = 147.2

Solving the simultaneous equation

x = 7 and y = 20

Hence, they made and sold 7 masks with elastics and 20 masks that tie in the month of April.

Hope this Helps!!!

Answer:

5n=1.75

Step-by-step explanation:

Answer:she will have $25 left .

Step-by-step explanation:

0.25(60)  = 15

$40 - $15 = $ 25

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

Answer:

110

Step-by-step explanation:

The probability of students entering the medical field = p = (11/50)

The number of people that'll enter the medical field out of 500 = np

n = 500

p = (11/50)

np = 500 × (11/50) = 110

Hope this helps!!!

Answer:

110 Students

Step-by-step explanation:

The probability of students entering the medical field is [tex]\dfrac{11}{50}[/tex].

In an experimental trial, this probability is referred to as the relative frequency of students entering the medical field.

Given that there are 500 students, we want to determine how many will enter the medical field.

We use the formula:

[tex]\text{Number of Expected Outcome}=$Relative Frequency of Outcome X Total Number of Trials$\\\\=\dfrac{11}{50}X500 \\\\=110[/tex]

Therefore, 110 students will be expected to enter the medical field.

x + x + 4 = 20

x + x = 16

16 / 2 = 8

Mike is 8, and Mark is 12.

Answer:

151

Step-by-step explanation:

tan 40° = x/180

tan 40°*180 = x

0.8391*180 = 151

height = 151m

Answer:

do you have a picture?

Step-by-step explanation:

Answer

A. linear function with a negative rate of change

Step-by-step explanation:

i had this question already

Answer:

[tex]=144x^7y^6[/tex]

Step-by-step explanation:

[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]

Answer:

Step-by-step explanation:

2 x(4−3xy^2)/y

x - 8 = </= 13

x could be from 9 to 21

Answer:  Consider:   square ... side length 15x

The area of a square with side s is s2.

  The area of a square with side 15x is 225x2.

  circle .. radius 5x,  Area of circle is  πr2.   Area of mirror is  25πx2        

Step-by-step explanation ;)

Answer: 25

Step-by-step explanation:

they are corresponding angles

Answer:

I think its 238.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hard to figure out huh

Answer:

3.25 seconds

Step-by-step explanation:

The maximum height will occur when the velocity of the ball reaches zero in the air.

Velocity is given as the derivative of height, dh/dt.

The equation of height given is:

[tex]h = -2t^2+ 13t + 24[/tex]

Differentiating height, h, with respect to time, t, we have:

[tex]v = dh/dt = -4t + 13[/tex]

When v = 0:

[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]

Therefore, it will take 3.25 seconds for the ball to reach maximum height.

Answer:

27

Step-by-step explanation:

7(6) = 42. 42-15 is 27

The value of this function for f(6) is 27.

A function is defined as a relation between the set of inputs having exactly one output each.

Mr. Wilson wrote the function f(x) = 7x – 15 on the chalkboard.

WE need to find the value of this function for f(6).

So, plug 6 into x

7(6)-15

42 - 15

= 27

Hence, the value of this function for f(6) is 27.

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Answer:

w = 18

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation

Solve  :    w-18 = 0  

Add  18  to both sides of the equation :  

                     w = 18

Hope this helps.

Answer:

w - 3 = 15

w - 3 + 3 = 15 + 3

w = 18

Step-by-step explanation:

1. add three to both sides

Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle

Answer:

C

The integer with the greatest value is the one that is farthest to the right hand side of the number line

Step-by-step explanation:

The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.

Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right

Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.

What these indicates is that the more rightward a number, the greater its value