A piece of wire 100 cm long is cut into two​ pieces, each to be bent to make a square. The length of a side of one square is to be 4 cm longer than the length of a side of the other. How should the wire be​ cut?

Answers

Answer 1

Answer:

The two pieces will be 42 and 58 cms long.

Step-by-step explanation:

Let the length of the smallest square be x cm.

Then the length of the other will be x + 4 cm

So, as there are 4 sides in a square, we have the equation:

4x + 4(x + 4) = 100

8x + 16 = 100

8x = 84

x = 10.5 cm.

So we need 4*10.5 = 42 cms for one square and 4 * 14.5 = 58 cms for th other square.


Related Questions

A. Your friend says that the solutions to the inequality 9x-18x ≥ - 18 are x ≥ 2 Solve the inequality correctly. B. What error did your friend make?

Answers

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

A small fly weighs approximately 2.2 • 10^-3 gram and an average sized gnat weighs approximately 9•10^-4
1. find the sum of the weights of the two insects
2. How much heavier is the fly than the gnat?

Answers

Dhdjsksxksjaa jsjssisjdbi shdjdkswbkdjaja

If the side length of a square is 7.2 inches, what is the area of the square

Answers

Answer:

51,84

Step-by-step explanation:

The area of the square if side * side, so 7.2 * 7.2 = 51,84 square inches

solve 12+20 using distributive property and the gcf​

Answers

Answer:

4(3+5). the sum in the parenthesis is 8 and the gcf is four. 4*8=32

Step-by-step explanation:

please show work 7r + 21 = 49r

Answers

Answer:

1/2 = r

Step-by-step explanation:

7r + 21 = 49r

Subtract 7r from each side

7r-7r + 21 = 49r-7r

21 = 42r

Divide each side by 2

21/42 = 42r/42

1/2 = r

Answer:

r = 0.5

Step-by-step explanation:

First you need to isolate the r variable.

7r + 21 = 49r

-7r          -7r

21 = 42r

Then Divide both sides by 42

0.5 = r

Now check your answer by inserting it back into the original equation.

7(0.5) + 21 = 49(0.5)

3.5 + 21 = 24.5

24.5 = 24.5

The equation is true so r = 0.5

Pls help it's due today It's DUE IN 8 MINUTES.

Answers

Answer:

84 pounds

Step-by-step explanation:

Share £360 into the ratio 3:2:1

Answers

Answer:

£180, £120 and £60.

Step-by-step explanation:

The number of parts = 3 + 2 + 1 = 6.

360 / 6 = 60, so the shares are:

3*60 = 180

2*60 = 120

1 * 60 = 60.

The distribution of £360 in the ratio of 3:2:1 will be  £180, £120 and £60.

What is a ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

The number of parts = 3 + 2 + 1 = 6.

360 / 6 = 60, so the shares are:

3  x 60 = 180

2 x 60 = 120

1  x 60 = 60.

Hence the distribution of £360 in the ratio of 3:2:1 will be  £180, £120 and £60.

To know more about ratios follow

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Is 5 5/6 + 1 3/4=5 1/12 reasonable

Answers

Answer:

No, it is unreasonable.

Step-by-step explanation:

5/5/6+1/3/4=35/6+7/4

=70/12+21/12

=91/12

=7 7/12

Find the area of a triangle with a base of 6 m and a height of 3 m.

Answers

Area of a triangle=1/2×base×height
Area=1/2×6×3=9

Hope my answer helped u :)

Plz help, I give Brainliest :-)

Answers

Answer:

8.754592 km

Step-by-step explanation:

5.44 × 1.6093 = 8.754592

Plz help 57.3 - 4.32 =

Answers

Answer:

52.98

Step-by-step explanation:

Is 0.875 irrational or rational and why?

Answers

Yes it’s rational It can be expressed as the quotient of two integers

What is -1 7/8 + -2 1/4? Please explain why and a step by step :).

Answers

9514 1404 393

Answer:

  -4 1/8

Step-by-step explanation:

Many people find it easier to factor out -1, then do the addition. The fractions need a common denominator before they can be added. A suitable denominator that is a multiple of both 4 and 8 is 8.

The fraction 1/4 = (1/4)(2/2) = (1·2)/(4·2) = 2/8.

__

So, the problem can be rewritten as ...

  -(1 7/8 +2 2/8)

  = -((1+2) +(7/8 +2/8))

  = -(3 +9/8)

The fraction 9/8 is an improper fraction equal to 8/8 +1/8 = 1 1/8. Then the sum is ...

  -(3 +1 1/8) = -4 1/8

what is answer to 5/6 x 2/3 x 8/5 =

Answers

Answer:

8/9

Step-by-step explanation:

5/6 x 2/3 = 10/18 (5/9 reduced)

5/9 x 8/5 = 40/45 ( 8/9 reduced)


The temperature of the pool water was 83 degrees during the day and
dropped 7 degrees at night. What was the new temperature.

Answers

Answer:

76

Step-by-step explanation:

83-7=76

Can someone please help me please?

Answers

9514 1404 393

Answer:

  D.  G(x) = (x+3)² -2

Step-by-step explanation:

G(x) is translated left 3 and down 2 from F(x). The transformation ...

  G(x) = F(x -h) +k

is a translation right h units and up k units. We have h=-3 and k=-2, so the function of interest is ...

  G(x) = F(x +3) -2

  G(x) = (x +3)² -2

please help that’s all i just need to make i’m correct it due tomorrow early so please

Answers

The answer is 6 i think

Gabriella goes for a power walk every three days, and Mona walks every fivedays. They both walked on Monday this week.a.After how many days will they both walk again on the same day?[3 pts]b.What day of the week will it be when they walk again on the same day?

Answers

Power Walking has been at the top of a natural range to walk with such a speed. A walk defines as a walking journey, and the further discussion can be defined as follows:

Given:

Power walking by the Gabriella by every 3 days  

Walking by the Mona by every 5 days  

Both walk on Monday then They both walked together,

after taking LCM of 5 and 3 that is = 15 days

For question a:

When both walk again after the same day is = 15 days

For question b:

"Tuesday" is the weekday that will it be when they walk again on the same day.

Learn more:

brainly.com/question/4546421

Look at image for question and answers

Answers

Answer:

d

Step-by-step explanation:

i did this last year

What inequality does this number line show?

Answers

x > 2, i’m not 100% sure though

Use the map below. Find the distance between the cities Everett and Fairfield to the nearest tenth

Answers

Brookline (8,2) and Davenport (5,10)

How would this triangle be classified ..

Answers

Equilateral. All sides are equal

Have a nice day :D

Answer:

This given triangle is an equilateral triangle.

Write an expression for "the product of 5 and z.”
+
y
Stuck? Review related articles/videos or use a hint.

Answers

Answer:

5z

Step-by-step explanation:

Product means multiply

5z

I need the logistics models student guide answer key!!

Answers

Answer:

Ans

Step-by-step explanation:

if you get it, please share it with me.

The triangle shown below has an area of 20 units.
Find the missing side.
8.
2
2
units

Answers

Happy anniversary birthday to you happy birthday to happy mama mama ghar ko happy anniversary birthday

One of the legs of a right triangle measures 1 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

using phythagoras formula of right angles we can calculate the hypotenuse

1^2=x^2+17^2

x^2=17^2-1^2(transpose)

×^2=288 (introduce a square root)

x=15.01(round of to the nearest tenth)

Step-by-step explanation:

x=10

The measure of the hypotenuse is 17.029

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have Pythagoras theorem:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Given;

The legs of a right triangle measures 1 cm

The other leg measures 17 cm

Now,

|AC|^2 = |AB|^2 + |BC|^2    

|AC|^2 = |1|^2 + |17|^2    

|AC|^2 = 1 + 289

AC=17.029

Therefore, by pythagoras theorem answer will be 17.029.

Learn more about Pythagoras theorem here:

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Is the number -14 irrational ?

Answers

I think it is irrational

Answer:

yes

Step-by-step explanation:

it's irrational cuz it's negative

find slope that is perpendicular to the line 4−2=12 ?

Answers

Answer:

m = -1/2

Step-by-step explanation:

4 − 2 = 12

= −2 = 12 − 4

= = (12 − 4) ÷ (−2)

= = 2−6

So, the slope is 2.

Now, keep this rule in mind: the product of a slope of two perpendicular lines will be -1.

Thus, the slope of the line that is perpendicular to this line is -1/2

What are the missing factors in the factor tree for 45?
45
5
A
B
С

Answers

Answer:

c

Step-by-step explanation:

the missing factors in the factor tree

The answer is c hope that helps

determine the value of n and what property is represented.
3n = 1

Answers

I believe n is 1/3.
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