Find the volume. Please help! Thanks!
hehe

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]

                             = 18*31.5

                             =  567 in²

1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:

First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.

Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.

Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)

Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).

2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.

Steps:

First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.

Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.

Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x

Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.

For more such questions on perpendicular, click on:

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Answer:

Step-by-step explanation:

You want the equations of lines ...

The equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.

  8y +5x +c = 0

  8(5) +5(8) +c = 0

  80 +c = 0

  c = -80

The equation of the desired line is 8y +5x -80 = 0.

The given equation is in slope-intercept form, so we can identify the slope as ...

  y = mx +b = 7/4x +9/4

  m = 7/4

The perpendicular line will have a slope that is the opposite reciprocal of this:

  m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line

The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...

  y = -4/7x

__

Additional comment

The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.

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Answer:

steam plot

Step-by-step explanation:

because the stem plot is easy to use

Answer:

Step-by-step explanation:

Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.

---------------------------------------------------------------------------------------------------------

2 ][ 3 7 9

3 ][ 5 6

4 ][ 1 7 8

5 ][ 2

---------------------------------------------------------------------------------------------------------

If you use dot plot, it is recommended use amounts under 10.

Answer:

C

Step-by-step explanation:

General equation of a tangent function is: y=atanb(theta-c)+d

Based on the graph, it moved pi/2 to the right.

So, the answer is C.

The result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.

A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.

The general equation of a tangent function is represented as below:-

y=atanb(Ф-c)+d

Based on the graph, it moved π/2 to the right. Therefore, the result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.

To know more about parent function follow

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Answer:

Step-by-step explanation:

According to coordinates on the graphs and numbers in the tables we have the following relationship:

As we see B, C and E have same relationship, matching the target.

Step-by-step explanation:

hope it's help you this answer

Answer:

Volume of Prism = 1/2×h×l×b

I think the formula will help you.

There is no Height, I think question is incomplete

Answer:

A is 6

B is 9.4

Step-by-step explanation:

First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there

Answer:

Step-by-step explanation:

Answer:

j=76 and k=65

Step-by-step explanation:

[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]

[tex]\left|x-\dfrac 12\right| = 3\dfrac 23\\\\\\\implies \left|x- \dfrac 12 \right| = \dfrac{11}3\\\\\\\implies x-\dfrac 12 = \dfrac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \dfrac 12 = - \dfrac {11}3\\\\\\\implies 2x -1 = \dfrac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\dfrac{22}3\\[/tex]

[tex]\implies x =\dfrac 12\left(\dfrac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \dfrac 12 \left(1-\dfrac{22}3\right)}\\\\\\\implies x = \dfrac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\dfrac{19}6\\\\\\\implies x = 4\dfrac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\dfrac16[/tex]

Answer:

Step-by-step explanation:

use a protractor if you have one or ask for one

Answer:

25

Step-by-step explanation:

[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]

Step-by-step explanation:

4cm×2cm×1/2=4cm³

4cm³×8=32cm³

I think the answer is 176

Step-by-step explanation:

please tell me if I'm wrong

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]

So, the radius of this circle is 10cm.

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) + 3 = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 4 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:\sin(x) = \frac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 30 \degree \: \: or \: \: \frac{\pi}{6} \: rad[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The linear equation that represents the graph is 3/2x - 3 = y

Data;

From the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.

If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.

[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]

Kindly find the attached image of the graph.

Learn more on linear equation here;

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Answer:

C. 56.42

Step-by-step explanation:

56 is a whole number and .42 is 42 hundredths

Answer:

The answer is (-4, 15/2)

Step-by-step explanation:

Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.

We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.

If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).

We will use Midpoint Formula

[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]

Where,

x₁ = (-1) and x₂ = (-5)

y₁ = 3 and y₂ = 9

Now, We will find Co-ordinates of y i.e., Winston-Salem.

So,

[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]

[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]

[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]

[tex]( - 3,6)[/tex]

Here, The coordinates of y i.e., Winston-Salem is (-3, 6).

Now, We will find Co-ordinates of m i.e., Burlington.

So,

Again, Using of Midpoint Formula;

Where,

x₁ = (-3) and x₂ = (-5)

y₁ = 6 and y₂ = 9

So,

[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]

[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]

[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]

[tex]( - 4 , \frac{15}{2} ) \\ [/tex]

Thus, The coordinates of Burlington is (-4, 15/2).

Answer:

well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x

Step-by-step explanation:

180-(35+110)=180-145=35. so x=35°

Answer:

3

Step-by-step explanation:

Answer: The correct answer is 3

Step-by-step explanation:

:) it should be correct have a good day!

Answer:

Length: 20 feet
Width: 8 feet

Step-by-step explanation:

20 is 12 feet longer than 8

20 x 8 = 160

Answer:

91.3 and 0913

Step-by-step explanation:

91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.

Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.

91.3 would happen if you were adding .3 to 91

And 0913 would happen if you added 91 and 822

Answer:

529/55 and 57/2

Step-by-step explanation:

Step-by-step explanation:

let's first convert feet to inches

4 ft = 48 inches ( width )

6.5 ft = 78 inches ( length )

12.5 ft = 150 inches ( height )

each cube is 1/4 x 1/4 x 1/4

x-axis ( length )

78 ÷ 1/4 = 78 x 4 = 312 cubes

y-axis ( width )

48 x 4 = 192 cubes

z-axis ( height )

150 x 4 = 600 cubes

the total number of cubes fit in the closet is :

312 x 192 x 600 = 35,942,400 cubes

Answer:

I think it's D. All rectangles are always parallelogram

Step-by-step explanation:

Please mark me brainliest if correct

Answer: 18:4

Step-by-step explanation:

Ez

Answer:

9 : 2

Step-by-step explanation:

length : Width = 18 : 4

                       [tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]

                       = 9 : 2

Answer:

Step-by-step explanation:

We would like to calculate the centre and the radius of the circle . The given equation is ,

[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]

As we know that the Standard equation of circle is given by ,

[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]

where ,

We can rewrite the equation as ,

[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]

Now on comparing to the standard form , we have ;

Graph :-

[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]

And we are done !

We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;

So, consider the equation of circle ;

[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]

On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows

Answer:

Step-by-step explanation:

View the attached graph for what your image should look like.

I hope this helps or gives you a picture of what it should look like, because it's quite a long process.

Hope this helps!

========================================================

Explanation:

We have a triangle with these side lengths

Computing a^2+b^2 gets us

a^2+b^2 = 18^2+22^2 = 808

Compare this to c^2

c^2 = 29^2 = 841

Because 808 < 841, this means a^2+b^2 < c^2

-------------------

We have three cases:

For more information, check out the converse of the Pythagorean Theorem.