I need the answer
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9514 1404 393

Answer:

  13.3 m

Step-by-step explanation:

Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...

  A = LW

  83 = (d -2)(d -6) = d² -8d +12

  71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way

  d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square

  (d -4)² = 87 . . . . . . . write as a square

  d -4 = √87 . . . . . . . positive square root

  d = 4 +√87 ≈ 13.3 . . . . add 4

The diagonal is about 13.3 meters long.

_____

Additional comment

If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. The geometry described here is impossible. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².

Answer:

227 is the 74th term of your question.

Answer:

The answer is B

Step-by-step explanation:

I went on socratic and found the answer

Answer:

second graph

Step-by-step explanation:

took the test on edge

9514 1404 393

Answer:

 453.32

Step-by-step explanation:

The argument of the summation symbol is recognizable as the general term of a geometric series with first term a1=4 and common ratio r=1.5. The indices on the summation symbol tell you that you want the sum of the first 10 terms of the series.

The general form of the sum of the first n terms of a geometric series is ...

  Sn = a1(r^n -1)/(r -1)

For the given values of a1 and r, this sum is ...

  [tex]S_{10}=4\cdot\dfrac{1.5^{10}-1}{1.5-1}=4\cdot\dfrac{57.6650390625-1}{0.5}\\\\\boxed{S_{10}\approx453.32}[/tex]

____

Your graphing calculator may be able to evaluate this for you directly.

Answer:

Step-by-step explanation:

Answer:

I think there is no solution.

Step-by-step explanation:

Substitute:

Z = -3y-5x+25

X = 3y-2z-13

Put into the last formula:

14(3y-2z-13)-2y+3(-3y-5x+25) = 48

Then:

14(3y-2(-3y-5x+25)-13)-2y+3(-3y-5(3y-2z-13)) = 48

So:

14(3y-2(-3y-5(3y-2z-13)+25)-13)-2y+3(-3y-5(3y-2(-3y-5x+25)-13)) = 48

And so on.

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The correct answer is

WZ || XY

Step-by-step explanation:

Just summited and verified the answer

Answer:

C is the Correct Answer.

Step-by-step explanation:

Just submitted this Geometry Test

Answer:

2262.0646

Step-by-step explanation:

the answer is 2262.0646

9514 1404 393

Answer:

  C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

  (4x +2y) -2(x +y) = (14) -2(3)

  4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

  2x = 8 . . . . . . . . . . . . . . collect terms

Answer:

iv. q/6E0

Step-by-step explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

[tex]E = \frac{q}{E_o}[/tex]

In which [tex]E_o[/tex] is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]

And the correct answer is given by option iv.

Perpendicular Definition:

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.

From the equation below:

[tex] \large{x + 5y = - 2}[/tex]

Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:

[tex] \large \boxed{m = - \frac{A}{B} }[/tex]

From the equation above, use the slope formula to find the slope.

[tex] \large{m = - \frac{1}{5} }[/tex]

Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.

Next we will be using the point-slope form below:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.

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

Simplify in the slope-intercept form as we get:

[tex] \large{y = 5x - 15}[/tex]

Answer

Hope this helps and let me know if you have any doubts!

Answer:

Answer. The two lines shown below are perpendicular. If the slope of the red line is , what is the slope of the green line? Slope of the green line = -1/slope of the red line.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

-2 * m = -1

Divide each side by -2

m = -1 /-2

m = 1/2

A line that is perpendicular to a line that has a slope of -2 must have a slope of 1/2

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

Given:

The equation of a line is:

[tex]2y+3x=10[/tex]

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

[tex]2y+3x=10[/tex]

For [tex]x=0[/tex],

[tex]2y+3(0)=10[/tex]

[tex]2y+0=10[/tex]

[tex]y=\dfrac{10}{2}[/tex]

[tex]y=5[/tex]

For [tex]x=2[/tex],

[tex]2y+3(2)=10[/tex]

[tex]2y+6=10[/tex]

[tex]2y=10-6[/tex]

[tex]2y=4[/tex]

Divide both sides by 2.

[tex]y=\dfrac{4}{2}[/tex]

[tex]y=2[/tex]

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

[tex](x,y)\to (3x,3y)[/tex]

Using this rule, we get

[tex]A(0,5)\to A'(3(0),3(5))[/tex]

[tex]A(0,5)\to A'(0,15)[/tex]

Similarly,

[tex]B(2,2)\to B'(3(2),3(2))[/tex]

[tex]B(2,2)\to B'(6,6)[/tex]

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\dfrac{6-15}{6-0}(x-0)[/tex]

[tex]y-15=\dfrac{-9}{6}(x)[/tex]

[tex]y-15=\dfrac{-3}{2}x[/tex]

Multiply both sides by 2.

[tex]2(y-15)=-3x[/tex]

[tex]2y-30=-3x[/tex]

[tex]2y+3x=30[/tex]

Therefore, the equation of the line after the dilation is [tex]2y+3x=30[/tex].

Answer:

The answer is B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

0.99218

Answer:

the top one that's orange

Answer:

7.23 dollars per pound

Step-by-step explanation:

Take the total amount paid and divide by the number of pounds

14.46/2

7.23 dollars per pound

Answer:

6*2 = 12 - x + 2 (G2)

         -2        -2

10 -  x

1       1

x =10

Step-by-step explanation:

Answer:

The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.

Answer:

a). 1.05 Elanor's standardized score

b). 1.04 Gerald's standardized score

Step-by-step explanation:

According to the Question,

Thus, Elanor's standardized score is

[tex]Z=\frac{x-mean}{standard deviation}[/tex]

Z = (680-569) ÷ 106 ⇒ 111/106 ⇒ 1.047≈1.05

Thus, Gerald's standardized score is

[tex]Z=\frac{x-mean}{standard deviation}[/tex]

Z = (27-24.5) ÷ 2.4 ⇒ 2.5/2.4 ⇒ 1.041≈1.04

Answer:

Yes.

Step-by-step explanation:

When you add the different amounts needed together ( 1lb 3oz + 1lb 8oz + 2lb 4 oz ), you get 4lb 15oz. Since there are 16oz in a pound, you need less than 5 lb. Therefore, you need less than 5lb, the 5lb bag will be more than enough.

Answer:

[tex]P(6am-12\ noon) = 0.305[/tex]

[tex]P(12\ noon - 6pm) = 0.143[/tex]

[tex]P(6pm-12\ midnight) = 0.322[/tex]

[tex]P(12\ midnight - 6am) =0.230[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}[/tex]

Required

The probability of each time interval

To do this, we simply divide the number of inventors in the interval by the total inventors (966)

So, we have:

[tex]P(6am-12\ noon) = \frac{6am-12\ noon}{Total}[/tex]

[tex]P(6am-12\ noon) = \frac{295}{966}[/tex]

[tex]P(6am-12\ noon) = 0.305[/tex]

[tex]P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}[/tex]

[tex]P(12\ noon - 6pm) = \frac{138}{966}[/tex]

[tex]P(12\ noon - 6pm) = 0.143[/tex]

[tex]P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}[/tex]

[tex]P(6pm-12\ midnight) = \frac{311}{966}[/tex]

[tex]P(6pm-12\ midnight) = 0.322[/tex]

[tex]P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}[/tex]

[tex]P(12\ midnight - 6am) =\frac{222}{966}[/tex]

[tex]P(12\ midnight - 6am) =0.230[/tex]

Answer:

Step-by-step explanation:

i hope you get this helpfull to get answer of this question take the qr code and scan it then you will get the answer

Answer:

Hence the correct option is the distribution with n = 225 will have a smaller standard error.

Step-by-step explanation:

Now the standard deviation is

[tex]S.E=\frac{\sigma }{\sqrt{n}}[/tex]

If n = 100 then consider [tex]\sigma =6[/tex]

[tex]S.E=\frac{6}{\sqrt{100}}=0.6[/tex].

If n= 225 then consider [tex]\sigma =6[/tex]

[tex]S.E=\frac{6}{\sqrt{225}}=0.4[/tex].

Here the distribution with n = 225 will have a smaller standard error.

Answer:

hi, yes the option B is the correct answer

Answer:1 hr 10 min

Step-by-step explanation: