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In trapezoid ABCD, points M and N are arbitrary points on bases AB and CD respectively. Find the area of the trapezoid, if area A ABM =23 cm and area A CMD =18 cm . Find the area of the trapezoid

Answer:

zero point three two meter

Step-by-step explanation:

Given

[tex]Measurement = 0.32\ meter[/tex]

Required

How should it be pronounced

From the measurement above, we can see that it contains a decimal point.

Using the rules of decimal point,

The number before the decimal point will be treated as 1 number and will be pronounced as such.

While numbers after the decimal will be treated as individual digits and will be pronounced individually.

Hence, the pronunciation of 0.32 meter is zero point three two meter

Answer: zero and thirty two hundredths. Some strategies are ( expanded form , a place value chart , word form , fraction expanded form i hope this helped i did this today in my class!

Step 6 contains an error. Option C is correct

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

[tex]\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

The correct step is;

[tex]\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}[/tex]

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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Answer:I got -0.2

Step-by-step explanation:

The rate of change of y with respect to x for this function​ should be considered to be the -0.2.

Since

x = -3

y = 3.6

[tex]x_1[/tex] = 5

[tex]y_1[/tex] = 2

So here the rate of change be

[tex]= (y_1 - y) \div (x_1 - x)\\\\[/tex]

= (2-3.6) ÷ (5 + 3)

= -1.6 ÷ 8

= -0.2

Hence, The rate of change of y with respect to x for this function​ should be considered to be the -0.2.

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Answer:

4. 3

Step-by-step explanation:

If you multiply 2 by 3 it'll equal to 6. Same with 7 x 3= 21.

You could also subtract 7 from 2 equalling 5 and 21 - 6 equal to 15. Then you would but y over x giving you 15/5. 15 divided by 5 is 3. So both ways you get 3.

Hope that helps :)

Answer:

48x=2x

Step-by-step explanation:

im big brain can i get brainilest

I'm very sorry but i don't know the answer to this queshtion

Answer: [tex]1\dfrac13[/tex] cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

[tex]x_1=\dfrac13\[/tex]  , [tex]y_1=\dfrac34[/tex] ,  [tex]y_2=3[/tex]

Put these values in an equation we get

[tex]\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13[/tex]

Hence, he needs [tex]1\dfrac13[/tex] cups of pineapple juice .

Answer:

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Step-by-step explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer:

y = 2x

Step-by-step explanation:

Slope = [tex]\frac{y}{x} =\frac{2}{1}[/tex]

$157.90 x 5 = $789.50

He still owes $789.50

Answer:

I'm pretty sure The domain of y=4[x+2] is (-infinity, infinity)

( − ∞ , ∞ )  ,  { x | x ∈ R }

Answer:

Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.

Answer:

4.6

Step-by-step explanation:

source; calculator .com

Answer:

0.528

Step-by-step explanation:

if you do the math youll get 0.528

Answer:

m= 1 / -3

Step-by-step explanation:

You have to use the formula

m =  

y2 - y1

x2 - x1

plug-in all you numbers

m=

 4 - 3

- 1 - 2

Answer:

2

Step-by-step explanation:

8=

Answer:

63/100 (the simplest form)

Step-by-step explanation:

1. Covert decimal into fraction:

0.63 = 63/100

2. Simplify (1 is the greatest common divisor of 63 and 100. The result can't be further reduced):

63/100

Answer:

C

Step-by-step explanation:

Because they are all

Answer:

1

Step-by-step explanation:

And close your tabs we don’t want to see your stuff your watching

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

[tex]x=\dfrac{232}{12}\\\\x=19.34[/tex]

or

x = 19

So, she will need approx 19 boxes.

Answer:

36

Step-by-step explanation:

J times the product of 4 and 7:

J(4x7)

Answer:

28j

Step-by-step explanation:

4 times 7=28

28 times j= 28j

Answer:

The answer is 5 cups...

Answer:

Step-by-step explanation:

1. M is the midpoint of CD; CM = 3x - 10; MD = 6x - 22;        GIVEN

2.  CM = MD                                                                       Definition of Midpoint

3.  3x - 10 = 6x - 22                                                            Substitution Property

4.  -3x - 10 = - 22                                                      Subtraction Prop of Equality

5.  -3x =-12                                                               Addition Prop of Equality

6.  x = 4                                                                    Division Prop of Equality

The missing reasons in the two-column proof are:

1. Given

2. Definition of a midpoint

3. Addition property of equality

To apply the addition property of equality, both sides of an equation is added with equal quantity to make it balanced.

In the two-column proof given, the missing reasons are:

1. Given (the information was stated already)

2. Definition of a midpoint (CM = MD)

3. Addition property of equality (10 was added to both sides of the equation).

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Answer:

150 boys were enrolled in 2012

Step-by-step explanation:

Let the number of boys enrolled in 2012 be x

Let the number of girls enrolled in 2012 be x + 200

Ratio of boys to girls in 2012 enrollment = 3/7

Now;

3/7 = x/x + 200

7x = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150 boys

Hence, 150 boys were enrolled in 2012

Answer:

7.5 gallons

Step-by-step explanation:

divide 12 by 3 to get oz per minute. 4

do 60 × 4 to get total minutes 240

4×240=960

put 960 oz into gallons and get 7.5

9514 1404 393

Answer:

  m∠B < m∠A < m∠C

Step-by-step explanation:

We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.

For n = 4, the side lengths are ...

  a = 2(4) = 8

  b = (4) +3 = 7

  c = 3(4) -2 = 10

The longest side is opposite the largest angle, so the ordering of angles is ...

  m∠B < m∠A < m∠C

_____

The triangle inequality requires all of these inequalities be true:

That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.

Answer:

M- B     M-A      M-C

Step-by-step explanation:

yw

Answer:

[tex]y=-\frac{7}{2}x+8[/tex]

Step-by-step explanation:

Given the equation

[tex]y\:=\:\frac{2}{7}x+9[/tex]

comparing the equation with the slope-intercept form

[tex]y =mx+b[/tex]            

Here,

so the slope of the line is 2/7

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

the slope of the perpendicular line will be: -7/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (4,-6) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-6\right)=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6=\frac{-7}{2}\left(x-4\right)[/tex]

[tex]y+6-6=\frac{-7}{2}\left(x-4\right)-6[/tex]

[tex]y=-\frac{7}{2}x+8[/tex]

Answer:

A

You plug in the same x value for each and see the answer. So 2(5)*10^4= 100000. And for the other we do 4(5)*10^2 which is 200. Since is says that 2x10^4 is 50 times as great as 4x10^2, we know that a is right because 200 * 50 = 100000.

Answer:

You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y1 = ( (y2 - y1) / (x2 - x1) ) (x - x1)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Step-by-step explanation:

hope this will help you..

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

The given functions are:

f(0)  =  5

f(-3)  =  6

That is, x₁ = 0,  y₁ = 5, x₂ = -3, y₂ = 6

The slope of the linear function is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-5}{-3-0} \\\\m=\frac{-1}{3}[/tex]

The equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=\frac{-1}{3}(x-0)\\\\y-5= \frac{-1}{3}x\\\\y=\frac{-1}{3}x+5[/tex]

The linear function with the values f(0) = 5 and f(-3) = 6 is [tex]y=\frac{-1}{3}x+5[/tex]

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