The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.

The Bulletin Board Is In The Shape Of A Square. Find Two Rational Numbers That Are Within 1/8in. Of The

Answers

Answer 1

Answer:

And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.

Explanation:

1) Calculate the side length of the bulletin board in the shape of a square:

The area of a square is equal to the square of length of the sides

A = x²

Substitute A = 150 unit²

150 = x²

Extract square root of both sides:

2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:    

Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.

Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.

Remember that multiplying by 1/8 is the same that dividing by 8.

Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.

12/8 can be simplified to 3/2 and 11/8 is in its simplest form.

Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)

Answer 2

Area:-150sq units

Side be a

Now

a²=150a=√150a=√2×3×5×5a=5√6

Now

Scale factor=1/8

So

new side length:-

1/8(5√6)5/8√6

Related Questions

please help :)))))) <33

Answers

Answer:

56

Step-by-step explanation:

You need to divide 20/16 and 70*z to find the missing length.

NEED ANSWER ASAP How many people drive less than 30 km to work?

Answers

Answer:

20 people

Step-by-step explanation:

According to the graph we have

10 km = 11 people20 km = 9 people

Their sum is

11 + 9 = 20 people

5x²+y+10 what is the cofficient of x²​

Answers

The coefficient is the number that goes in front of the variable. In this case the coefficient is 5.

What is the value of n when 2/3 of n equals 42?

Answers

2/3 is 66%
So, 42*100/66= 63.6363…
N=64

Use the bar graph below to answer the following question.
Which girl is the shortest?

Answers

Answer:

ling

Step-by-step explanation:

you just have to compair the girls

and from the bar gragh ling is he sortest.

find the volume
6ft
4ft
3ft
(i know it’s not 72)

Answers

Answer:

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

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On a piece of paper, graph f(x) = (3x if x< 3) (f(x) = 2x if x > 3) Then determine which answer
choice matches the graph you drew.

Answers

Answer:

[tex]if\ \alpha < 3[/tex]

[tex]f(\alpha )=3\alpha[/tex]

[tex]if\ x\ \geqslant 3[/tex]

[tex]f(x)=2x[/tex]

[tex]Sin\ you\ get\ the[/tex]

[tex]yoiclure\ on\ the[/tex]

[tex]right.[/tex]

I hope this helps you

:)

The choice that matches the graph of the function as is defined to us is: Graph A.

What is a function?

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

We are given a function f(x) as:

f(x)=   2x    if x < 3 and 4 if  x ≥ 3

This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.

Hence, the graph of this function is: Graph A.

Learn more about functions, click;

https://brainly.com/question/29657983

#SPJ7

Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet

Answers

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

Total surface area :

[tex]\qquad \sf  \dashrightarrow \:2(lw + wh + lh)[/tex]

[ l = Length, w = width, h = height ]

[tex]\qquad \sf  \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (36)[/tex]

[tex]\qquad \sf  \dashrightarrow \:72 \: ft {}^{2} [/tex]

please answer these 3 question

Answers

Answer:

i think 5 prisms are cool

Step-by-step explanation:

Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.



A.
Reflect A over the line y=x

B.
Translate C (x+5,y-4)

C.
Dilate A by 3/2

D.
Dilate C by 3/2

E.
Translate A by (x-5, y+4)

Answers

The transformations that would prove that circles A and C are similar are:

A. Reflect A over the line y=xC. Dilate A by 3/2

How to prove that circle A and circle C are similar?

The circles are given as:

Circle A and B

Assume the following parameters:

The center of circle A is (2,3) with a radius of 2The center of circle B is (3,2) with a radius of 3

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

The center of circle A is (3,2) with a radius of 3The center of circle B is (3,2) with a radius of 3

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Read more about similar circles at:

https://brainly.com/question/9177979

Classify each of the following angles as acute, obtuse,right,straight, or reflex

Answers

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation:

Write an equation using x when the sum of a number and 8 is multiplied by 3and the answer is 6

Answers

Answer:

3(x + 8) = 6

Step-by-step explanation:

let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is

3(x + 8) = 6 ( divide both sides by 3 )

x + 8 = 2 ( subtract 8 from both sides )

x = - 6

the number x is - 6

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for a.
A sphere has a radius of 3.5 feet.
The volume of the sphere is about
ft?

Answers

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

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

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

a _______has one endpoint line or ray

Answers

Answer:

Ray.

Step-by-step explanation:

Lines have no endpoints, while rays have 1 endpoint (:

What is the answer to this?

Answers

Answer:

-8

Step-by-step explanation:

[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]

Answer:

-8

Step-by-step explanation:

Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?

Answers

I believe the answer would be $57

How many members did not vote there is 75% and 60 people?

Answers

Answer:

15

Step-by-step explanation:

if 75% voted that is 45 people meaning 15 did not vote.

if the price of small box is $20 and the price of large box is $45. what is the greatest amount of money he received when he sells all the boxes he has made? For this amount of money how many boxes of each size did he make​

Answers

Answer:

in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.

Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.

Answers

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

first lets confirm, which series this is from,

( first term + third term )/2 = second term

(-50 + (-38) )/2 = -44-44 = -44

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

a₁ = -50aₙ = 2044n = ? = 350d = + 6

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

aₙ  = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

The angle turns through 1/5 of the circle.What is the measure of the angle?

Answers

Answer:

72 degrees

Explanation:

360, the total degrees of a circle divided by 5 is 72

Please mark brainliest

1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?​

Answers

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

110 4t + 90 t=?
Please help!

Answers

Answer:

because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees

A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines the function?
7 - 1

Answers

Answer:

I am pretty sure it is the second option

Step-by-step explanation:

Hope this helps

Please help The diagram below shows a square prism. The plane ABC is inside the
prism, and M is the midpoint of the base diagonal BC. MD. = square root 18
b Hence find, correct to the nearest degree, the angle that the plane ABC
makes with the base of the prism. Diagram is attached below.

Answers

Answer:

  43°

Step-by-step explanation:

Triangle ADM is a right triangle with legs AD=4 cm and DM=√18 cm. The angle at M is the angle of interest. It can be found using the inverse tangent function.

  Tan = Opposite/Adjacent

  tan(∠AMD) = AD/MD = 4/√18

  ∠AMD = arctan(4/√18) ≈ 43.31°

The angle the plane makes is about 43°.

Answer:

the measure of the angle that the plane ABC makes with the base of the prism = 43 degree (to the nearest degree)

Step-by-step explanation:

We notice that the plane ABC and the base of the prism intersect along the line BC

And as the plane (ADM) is perpendicular to the line BC

then the angle between the plane ABC and the base of the prism is the angle AMD

Let θ be the measure of the angle AMD

[tex]\begin{aligned}\tan (\theta) &=\frac{A D}{M D} \\&=\frac{4}{\sqrt{18}}\end{aligned}[/tex]

[tex]\begin{aligned}\Rightarrow \theta &=\tan ^{-1}\left(\frac{4}{\sqrt{18}}\right) \\&=43,31385 \ldots\end{aligned}[/tex]

Need help on this. can anyone help please?​

Answers

Answer:

it is B

Step-by-step explanation:

that's because line goes through (0,0)

Yo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.

Answers

Answer:

for number 6 the width is 24 and the blank after the length of 9 is 12 and after 48 width it is 60. your welcome.

Please answer. I need it to be right.

Answers

Answer:

          75

-    _____________

        10x^4−27

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we do all brcakets becuase we are following the law of BODMAS.

2×-5×3 = -10×3= -30

Now we do all powers and indices:

-5²= 25

10²= 100

3³ = 27

Now we do the top of the fraction:

25+100 = 125

Now we do the bottom bit of the fraction:

-30+27 = -3

Now we divide 125 by -3:

-41 2/3

-41.666.....

1. Find the lateral area and surface area of the given prism. Round your
answer to the nearest whole number

Answers

Answer:

LA = 720 , SA = 780

Step-by-step explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer:

Step-by-step explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

         c² = 289 - 225

         c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]

                                = ( 17 + 15  + 8 ) * 18

                                = 40 * 18

                                = 720 in²

[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]

[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]

                                  = base * height

                                  = 8 * 15

                                   = 120 in²

Total surface area = 720 + 120

                                = 840 in²

What is the MEAN of the following data set?

31, 27, 19, 18, 22, 21, 25, 29, 34, 30

Answers

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

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