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2 years ago

Insert 5 arithmetic means between -1 and 11

Mathematics

1 answer:

Anni [7]2 years ago

7 0

Answer:

Step-by-step explanation:

-1 1 3 5 7 9 11

That's the answer. If you need a method or a formula, that's a little harder.

L = a + (n - 1)*d

a = -1

L = 11

n = 7

or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all

11 = -1 + (7 - 1)*d add 1 to both sides. Combine the brackets

11+1 = -1+1+ 6*d

12 = 6d divide by 6

12/6 = d

2 = d

What this tells you is that each term has 2 added to it to get to the next one.

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Pls help me solve please show how you got the answer pls help

aniked [119]

Answer:

3/2 cm^2 or 1.5 cm^2

Step-by-step explanation:

Remark

This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.

That said here are the assumptions

Each side of the square = Perimeter / 4. That's because the perimeter is 8 and each of the 4 sides is 2 cm. because 8/4 = 2
That's the only thing that you can conclude for certain.
It looks like the white rectangles have a length that totals 2. Therefore each one must be 1 cm long.
The width of the white square must be 1/2 the width of a side divided by 2. That's because The grey square takes up 1/2 the with of the side and the white square is 1/2 of what is left over.

White square area = L * W

L = 1 (which comes from 1/2 of 2)

W = 1/2

Area = 1 * 1/2 = 1/2

There are two them them so their area = 1

The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.

Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.

3 0

2 years ago

Use the figure to find the measures of the numbered angles. Explain your reasoning

LUCKY_DIMON [66]

The measures of the numbered angles are as follows:

m∠1 139°
m∠2 = 41°
m∠3 = 139°
m∠4 = 139°
m∠5 = 41°
m∠6 = 139°
m∠7 = 41°

m∠1 = 117°
m∠2 = 63°
m∠3 = 117°
m∠4 = 63°
m∠5 = 117°
m∠6 = 63°
m∠7 = 63°

<h3>How to find measures of angles?</h3>

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.

Therefore, line a and b are parallel to each other. The transversal line t cut the parallel lines.

Hence,

m∠1 = 180 - 41 = 139° (angles on a straight line)

m∠2 = 41° (vertically opposite angles)

Vertically opposite angles are congruent.

m∠3 = 139° (vertically opposite angles)

m∠4 = 180 - 41 = 139° (same interior angles)

Same interior angles are supplementary.

m∠5 = 41° (same interior angles)

m∠6 = 139° (vertically opposite angles)

m∠7 = 41° (vertically opposite angles)

m∠1 = 117° (alternate exterior angles)

Alternate exterior angles are congruent

m∠2 = 180 - 117 = 63° (sum of angles on a straight line)

m∠3 = 117° (vertically opposite angles)

m∠4 = 63° (vertically opposite angles)

m∠5 = 117° (vertically opposite angles)

m∠6 = 180 - 117 = 63° (sum of angles on a straight line)

m∠7 = 63° (vertically opposite angles)

learn more on angles here: brainly.com/question/19068435

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3 0

10 months ago

<img src="https://tex.z-dn.net/?f=15%20x%5E%7B2%7D%20%2B14x-49%3D0" id="TexFormula1" title="15 x^{2} +14x-49=0" alt="15 x^{2} +1

Alex777 [14]

$15x^2+14x-49=0\\\\
Terms:\\
a=15\ \ \ \ b=14\ \ \ \ c=-49\\
Quadratic\ Formula:\\\\
x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\
x=\dfrac{-14\pm\sqrt{196+2,940}}{30}\\\\
x=\dfrac{-14\pm\sqrt{3,136}}{30}\\\\
x=\dfrac{-14\pm56}{30}$

$Roots:\\\\
x'=\dfrac{-14+56}{30}\\\\
x'=\dfrac{42}{30}\\\\
x'=\dfrac{21}{15}\\\\
\boxed{x'=\dfrac{7}{5}}\\\\\\\\
x''=\dfrac{-14-56}{30}\\\\
x''=\dfrac{-70}{30}\\\\
\boxed{x''=\dfrac{-7}{3}}$

8 0

3 years ago

Read 2 more answers

Points A, B, C, and D are collinear and positioned in that order. Find the length indicated 7) Find BC if BC = 2x + 4, AD = 28,

belka [17]

Answer:

7) BC = 10

8) BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

AB +BC +CD = AD

(3x+2) +(2x+4) +(3x-2) = 28

8x +4 = 28 . . . . collect terms

8x = 24 . . . . . . . subtract 4

x = 3 . . . . . . . . . divide by 8

BC = 2x+4 = 2(3) +4

BC = 10

8) AB +BD = AC +CD

(2x -14) +(-7 +3x) = (2x -3) +(9)

5x -21 = 2x +6

3x = 27

x = 9

BD = -7 +3x = -7 +3(9)

BD = 20

7 0

3 years ago

The internal height of a rectangular box is 10.5cm.The thickness of the bottom is 3/5cm and the thickness of the top is 1cm.What

omeli [17]

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The external height of the box is 12.1 cm.

<h3>What is Addition?</h3>

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that the internal height of a rectangular box is 10.5cm. The thickness of the bottom is 3/5cm and the thickness of the top is 1cm. Therefore, the external height of the rectangular box is,

Height of rectangular box

= Thickness of bottom + Internal height of the box + Thickness of the top

= 3/5 cm + 10.5 cm + 1 cm

= 0.6cm + 10.5cm + 1cm

= 12.1 cm

Hence, the external height of the box is 12.1 cm.

Learn more about Addition here:

brainly.com/question/14092461

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7 0

1 year ago