there is two images guys so don get confused PLZ HALP

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Explanation:

The rectangular prism (aka rectangular block) has dimensions 2, 4 and 3. You can say they are the length width and height. The volume is 2*4*3 = 24 cubic cm.

The trapezoid's volume is found by multiplying the area of the trapezoidal face by the depth of 3 cm. Let's find the area of the trapezoid first

A = area of trapezoid

A = height*(base1+base2)/2

A = 2*(4+2)/2

A = 6

Then we multiply this with the depth of 3 cm to get 6*3 = 18 cubic cm

Lastly, we subtract the two volumes

difference in volume = (rectangular block) - (trapezoidal block)

difference in volume = 24 - 18

difference in volume = 6 cubic cm

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An alternative is to find the volume of each triangular piece on the left and right sides. Then add up those portions to get the answer. In a way, you can think of those triangular wedges as empty space.

Answer:

19/64

Step-by-step explanation:

number of boys:

red haired boys:

The fraction:

Answer:

19/64

Step-by-step explanation:

number of boys: 11+21+13+19=64

red haired boys: 19

The fraction: 19/64

Answer:

9 sq. units

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = 8x - 26

Step-by-step explanation:  

Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]

(You can plug either point in and get the same result but I'm going to use the first one)

[tex]y-(-2)=8(x-3)[/tex]

Distribute the [tex]m(x-x_{3})[/tex]

[tex]y-(-2)=8x-24[/tex]

Isolate the [tex]y[/tex]

[tex]y-(-2)=y+2[/tex]

[tex]y+2(-2)=8x-24(-2)[/tex]

[tex]y=8x-26[/tex]

And that's your answer!

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Step-by-step explanation:

This question requires an attachment;

I'll answer your question using the attached figure

Since, PQR is similar to P'Q'R'; This implies that

Side PQ is similar to P'Q'

Side PR is similar to P'R'

Side QR is similar to Q'R'

Taking sides PQ and P'Q' as point of reference

PQ = 4; P'Q' = 2 (From the attached)

[tex]Scale\ Factor = \frac{P'Q'}{PQ}[/tex]

[tex]Scale\ Factor = \frac{2}{4}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Answer:

1/2

is your answer i got it right

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

The horizontal asymptote is the line, horizontally, where the graph doesn't cross. In this case, the graph approaches y = 1, but never touches 1, so your answer is y = 1.

Answer:

y ≥ x - 2 and x + 2y < 4

Step-by-step explanation:

There are two lines graphed.

The dotted line passes through (0,2) and (4,0), then:

slope (m): (0 - 2)/(4 - 0) = -1/2

y-intercept (b): 2

equation:

y = mx + b

y = -1/2x + 2

multiplying by 2 at both sides, we get

2y = -x + 4

x + 2y = 4

The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.

The solid line passes through (0,-2) and (2,0), then:

slope (m): (0 - (-2))/(2 - 0) = 1

y-intercept (b): -2

equation:

y = x - 2

The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.

Answer:

B. 3 1/3 (3/2)

Step-by-step explanation:

10/3 = 3 1/3

3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.

Answer: 260

Step-by-step explanation: When we 200 times 130% we will get 260.

Answer:

What are the coordinates of the resulting figure?

✔ (0, 0), (4, 0), (4, –4), (0, –2)

Step-by-step explanation:

its C on Edge

I just took this assignment and got it right

The coordinate of the given figure is, (0, 0), (4, 0), (4, –4), (0, –2).

We have to determine the coordinates of the resulting figure.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.it can be represented by (x,y)  that is the x-value and y-value.

Therefore the value of x and y at point (0,0) is 0 and 0.

The value of x and y at point (0,2) is 0 and 2.

The value of x and y at point (4,4) is 4 and 4.

The value of x and y at point (4,0) is 4 and 0.

Therefore the coordinate of the given figure is,

(0, 0), (4, 0), (4, –4), (0, –2)

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Answer:

9/16

Step-by-step explanation:

3/16 + 2/16 + 4/16 = 9/16

Answer:

9/16

Step-by-step explanation:

To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.

Answer:

Mean = 76

Median = 75.2

Step-by-step explanation:

Mean - put all the temperatures in order and pick the middle one.

Median - add all the temperatures together and divide by 20.

Answer:

0.894

Step-by-step explanation:

Data provided in the question

BC length = 17.89 unit

DC length = 16 unit.

Now, we have to compute the angle y with the help of the cosine function;

Cosine defines the ratio between the right angle adjacent side and the hypotenuse  

[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]

As per the triangle BDC;

Hypotenuse = BC =17.89 unit

And, the Adjacent side = 16 units

So;

[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]

[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]

Now, determine the value of angle x

In right angle ΔABC;

As we know that

The three angles sum is 180 degrees

So,

[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]

According to the given figure

[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]

and

[tex]\angle C =y=26.57^{\circ}[/tex]

Now Substitute these in (1) for solving the angle x;

[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]

[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]

Finally we have to determine the value of sin x;

Hence,

The value of [tex]\sin 63.43 =0.89438856[/tex]

or

= 0.894

Answer:

sin x = 0.894

Step-by-step explanation:

I hope you are refering to this figure:

Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

A system of equations is made up of two or more equations that are solved at the same time.

There are three ways to solve a system of equations:

In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.

We have discussed all methods above.

Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.

Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

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Answer:

192

Step-by-step explanation:

y/12-5=11

y/12=11+5

y/12=16

y=16x12

y=192

Answer:

y = 192

Step-by-step explanation:

1st add 5 to both sides 12 to get 7: [tex]\frac{y}{11} =16[/tex]

then multiple both sides by 11 to isolate the y : [tex]y=192[/tex]

(11 times 16 equals 192)

Answer:

1a.  {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

1b.   {5}

Step-by-step explanation:

For part 1:

A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

Remember that union means to include all values.

A n B is the intersection of all values, so {5}

Remember that the intersection means "what do they have in common".

The simplified form of an algebraic expression is x+9.

The given algebraic expression is x-5/5+10.

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

Now, x-5/5+10=x-1+10

=x+9

Therefore, the simplified form of an algebraic expression is x+9.

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Answer:

Step-by-step explanation:

in a parellelogram,Opposite angles of a parallelogram are congruent

110=11x+11

110-11=11x

99=11x

99/11=x

9=x

<w= 110 °

Answer:

- 11/20

Step-by-step explanation:

1/5 - 3/4

Make denominators equal.

4/20 - 15/20

Subtract the fractions.

- 11/20

Answer:

- 11/20

Step-by-step explanation:

1/5- 3/4= 4/20 - 15/20= - 11/20

The number line should cover line section from  -11/20 to 4/20, see attached

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Answer option 2 is correct

Answer:  y = 3x + 1

Step-by-step explanation:

In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.

Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).

m = 3

And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:

b = 1

Now put these two values into one equation.

y = mx + b

y = (3)x + (1)

y = 3x + 1

Answer:

y = -[tex]\frac{4}{5}[/tex]  x  + [tex]\frac{27}{5}[/tex]      or

5y = -4x + 27

Step-by-step explanation:

To find the equation of a line with points (3,3) and is perpendicular to   5x+5-4y=0

we will follow the steps below:

First find write the equation:  5x+5-4y=0  in standard form  y= mx + c and find the slope

5x+5-4y=0

4y = 5x + 5

divide through by 4

4y /4= 5x/4 + 5/4

y = [tex]\frac{5}{4}[/tex] x +  [tex]\frac{5}{4}[/tex]

comparing the above with y = mx + c

m=  [tex]\frac{5}{4}[/tex]

since the equations are perpendicular.

To find the new slope

[tex]m_{1}[/tex][tex]m_{2}[/tex]  = -1

[tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex]   = -1

multiply both-side of the equation by [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex]× [tex]\frac{5}{4}[/tex] [tex]m_{2}[/tex]   = -1 × [tex]\frac{4}{5}[/tex]

[tex]m_{2}[/tex]   =  -[tex]\frac{4}{5}[/tex]

The slope of our new  equation is  -[tex]\frac{4}{5}[/tex]

The points are (3,3)

We can now go ahead and form our new equation

y - [tex]y_{1}[/tex]  =  m ( x - [tex]x_{1}[/tex])

y - 3 =  -[tex]\frac{4}{5}[/tex] ( x - 3)

y - 3 =  -[tex]\frac{4}{5}[/tex]  x  +  [tex]\frac{12}{5}[/tex]

y = -[tex]\frac{4}{5}[/tex]  x  + 3 +   [tex]\frac{12}{5}[/tex]

y = -[tex]\frac{4}{5}[/tex]  x  + [tex]\frac{27}{5}[/tex]

5y = -4x + 27

Step-by-step explanation:

Complementary angles mean that the sum of the angles equals 90 degrees.

This means that

A+B=90

(2x-13)+(4x-5)=90

expand and simplify

2x+4x-13-5=90

6x = 90+18 = 108

x = 108/6=18 degrees.

=>

B=4x-5=4*18-5=72-5=67 degrees

check:

A=2x-13=2*18-13=36-13=23 degrees

A+B=23+67=90 degrees => A and B are complementary

Answer:

m∠4 = 38°

Step-by-step explanation:

The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°

∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°

Answer:

Option D is correct

Step-by-step explanation:

With x < 4 and y < 5:

P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31

=> Option D is correct

Given the equation P = 4x + 3y  With constraints x > 0, x < 4 and y < 5:

Option D is correct that is 31.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given the equation P = 4x + 3y

With  constraints x > 0, x < 4 and y < 5:

The maximum value is

P = 4x + 3y < 4(4) + 3(5)

P = 16 + 15

P = 31

Hence, the Option D is correct.

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Answer:

Step-by-step explanation:

Volume = Length times width times height.

Here,

Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.

This is equivalent to 84 3/8 cubic inches.

Answer:

[tex]84\frac{3}{8}in^3[/tex]

Step-by-step explanation:

V = L * W * H  

V = 4 1/2 * 5 * 3 3/4

V = 9/2 * 5/1 * 15/4

V = 675/8

V = 84 3/8

Answer:

The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.

Step-by-step explanation:

2520/1 = 2520

2520/2 = 1260

2520/3 = 840

2520/4 = 630

2520/5 = 504

2520/6 = 420

2520/7 = 360

2520/8 = 315

2520/9 = 280

2520/10 = 252

Answer:

hewo. its a perpendicular triangle. so

6²+3² will equal to KJ.

36+9=45

45 is = 3√5 because when i put three in square, thats gonna be 3×3×5 = 45.

if u have question u can ask. good luck(:

Answer:

1/2

Step-by-step explanation:

Let the two numbers be [tex]a[/tex] and [tex]b.[/tex]

We already know that [tex]a\neq 0[/tex] and [tex]b\neq 0[/tex].

Write an equation:

[tex]ab=2(a+b)[/tex]

The product (ab) is equal to twice the sum (2(a+b)).

Now, write an equation for the sum of their reciprocals:

[tex]S=\frac{1}{a}+\frac{1}{b} =\frac{a+b}{ab}[/tex].

Rewrite the denominator:

[tex]=\frac{a+b}{2(a+b)} =1/2[/tex]

[tex]S=\frac{1}{a}+\frac{1}{b}=1/2[/tex]

Answer:

1/2

Step-by-step explanation: