MATHEMATICS MIDDLE SCHOOL

A circular tabletop is to be cut from a rectangular pieceof wood that measures 1.20 m by 1.80 m.
What is the radius of the largest tabletop that could be cut?
Justify your answer. Include a sketch​

Answers

Answer 1
Answer:

The radius of the tabletop is the distance from the center to its circumference

The largest radius of the circular tabletop is 0.6 meters

The dimension of the rectangular piece of wood is given as:

Length = 1.20 m

Width = 1.80 m

From the given dimension, we have the following observation:

The length of the rectangular piece is smaller than its width.

This means that:

\mathbf{Diameter = Length}

Substitute 1.20 m for Length

\mathbf{Diameter = 1.20 m}

Divide both sides of the equation by 2 to calculate the radius

\mathbf{\frac{Diameter}2 = (1.20 m)/(2)}

Simplify

\mathbf{Radius = 0.60 m}

Hence, the largest radius of the tabletop is 0.6 meters

Read more about radius at:

brainly.com/question/1486933
Answer 2
Answer:

the radius of the largest tabletop that could be cut is 0.6 m .

Step-by-step explanation:

Here we have , A circular tabletop is to be cut from a rectangular piece of wood that measures 1.20 m by 1.80 m. We need to find What is the radius of the largest tabletop that could be cut. Let's find out:

We know that For a circle to be completely inscribed in a rectangle , It's diameter must be equal to it's Length . Now , According to question we have following parameters as :

Length = 1.2\nBreadth=1.8

So , Diameter of circle :

⇒ Diameter = Length = 1.2m

Now , We know that

⇒ Diameter =2(radius) = 1.2m

⇒ radius = (1.2)/(2)

⇒ radius =0.6m

Therefore ,  the radius of the largest tabletop that could be cut is 0.6 m .

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Please Help :Last Year three 6th grade students , Aliya, Crystal, And Shamika, we’re selling balloons at the schools Winter Dance to collect $305 for a class trip to the Zoo. Aliya sold 2 more balloons than Crystal, And Shamika sold twice as much balloons as Crystal. Let “C” represent the total number of balloons Crystal Sold.


Total Ballons Sold : 122


F) Which number in the following set represents the amount of balloons sold by Crystal?


{ 30, 31, 116, 118 }


Thanks

Answers

the answer is 30 because Shamika sold twice as much balloons as Crystal which is 60. 30+60=90 then Aliya sold 2 more balloons than Crystal which 32+90=122

Solve the equation for y. yp+yn=x

Answers

This is tricky because it has a lot of variables, but we just have to treat this problem normally.

yp+yn=x

separate y from p + n (feel free to check that you can do this by multiplying y out again and seeing that we have the same thing as before)

y(p+n)=x

divide p + n on both sides

y = (x)/(p+n)

Answer:

y = (x)/(p+n)

What is the answer to 2/3x + 1 = 5

Answers

Here are the steps. I'll try to make them as easy as possible :)

2/3x+1=5

Step 1: Subtract 1 from both sides.
2/x+1-1=5-1

Step 2: Multiply both sides from 3/2

(3/2)*(2/3x)=(3/2)*(4) 

And the answer will be 6
x=6


Let's solve the equation step-by-step

In the last question I've answered for you, I've said it can be a little bit easier to work out a math problem with first rewriting it. So, let's do that --

2/3x + 1 = 5

Step 1) Subtract 1 from both sides

2/3x + 1 - 1 = 5 - 1

2/3x = 4

Step 2) Multiply both sides by 3/2

(3/2) × (2/3x) = (3/2) × (4)

x = 6

FINAL ANSWER -

x = 6

↑   ↑   ↑   Hope this helps! :D

the size of a computer screen is measured along the diagonal. what is the approximate size measured to the nearest inch, of a 12 inch by 10.5 in computer screen

Answers

In this exercise we have to use the knowledge of pythagoras and triangles to calculate the size of a canvas, in this way we find that;

15.945 inch

So knowing that the Pythagorean formula is given by:

a^2=b^2+c^2

Substituting b and c for the values ​​informed in the exercise we find that:

a^2=144+110.25 \n a^2=254.25 \n a=15.945

See more about pythagoras at brainly.com/question/10174253
This uses pythagoras which is a^2=b^2+c^2. You need to find the diagonal which is "a". Therefore a^2=144+110.25 which equals 254.25 then square root it and you get 15.945

I need help with this problem so i got 12 but the correct answer is 18. What is the value of |x|+y when x is -3 and y is 15. please show how you got 18

Answers

remember |(._.)|=positive (._.)

evaluate seperately
when x=-3
|-3|=3
when y=15
so therefor
|-3|+15=
3+15=18

Help urgent for tonight, extra points available

Answers

Hi,
let's x le number of women
3x is the number of men
x/2 the number of childs
Thus, 3x+x+x/2=5670
=>9x/2=5670
=>x=5670*2/9
=>x=1260: number of women
3x=3*1260=3780 the number of men.
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2/3x -1=9-1/6x please help thanks