A square is made using four rods of equal length joined end to end.
the perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle

Answers

Answer 1

Answer:54 cm

Step-by-step explanation:

Given

Rods are joined to form a square

Perimeter of square is [tex]72\ cm[/tex]

Suppose a is the length of each rod so

Perimeter is [tex]4 a[/tex]

[tex]\therefore 4a=72[/tex]

[tex]\Rightarrow a=\frac{72}{4}[/tex]

[tex]\Rightarrow a=18\ cm[/tex]

Now if rods are joined to form a square then

Perimeter is the sum of sides

Perimeter of (equilateral)triangle[tex]=3a[/tex]

[tex]\Rightarrow =3\times 18[/tex]

[tex]\Rightarrow =54\ cm[/tex]


Related Questions

Find the selling price of an $25 item after a 20% markup.

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~marked~up~price~is~$30.}[/tex]The price will be $30.

Explanation:

To find the selling price, we must calculate 20% of $25 and add it to the price.

20% = 0.20

25 × 0.20 = 5

Add this number to the price of the item.

25 + 5 = 30

Answer:

$30

Step-by-step explanation:

$25 item

Markup = Increase

The $25 is increased by 20%

Write 20% as a decimal

Decimal = % / 100

20/100 = 0.2

Multiply 0.2 by 25

0.2(25) = 5

We know that the price that it was marked up is $5

Add this to the original amount ($25) to find the final price after being marked up.

$25 + $5 = $30

Hope this helps :)

Complete questions 1,2.

Answers

Answer:

to change a mixed number into an improper fraction, you just need to take the whole number in the problem and multiply it by the denominator and add it to the numerator.

To change an improper fraction into a mixed number you divide the numerator by the denominator and put the whole number you get in front of the left over fraction.

Step-by-step explanation:

You put $800 in a savings account. The account earns 4% simple interest per year.

a. What is the interest earned after 5 years?

The interest earned is $__ after 5 years.

b. What is the balance after 5 years?

The balance is $__ after 5 years.

Answers

Answer:

A. 160

B. 960

Step-by-step explanation:

The interest earned after 5 years is the balance - the initial balance: 160

The balance is 800 * (1 + .04*5): 960

Rhonda saved 356 pennies. Her sister saved 243 pennies. They kept 250 pennies out and place the rest pennies into shared piggy bank. How many pennies did they place in there piggy bank?

Answers

Answer:

106 pennies

Step-by-step explanation:

Rhonda's sister is scamming Rhonda lol

Which of the following side lengths would make a right triangle? )there is only ONE answer)
A) 3, 4, 6
B)6, 9, 22
C)8, 34, 36
D)7, 24, 25

PLS HELP WILL GIVE BRANLIEST, EXTRA POINTS!!

Answers

Answer:

D) 7, 24, 25

Step-by-step explanation:

It's a Pythagorean triple.

What is the positive solution of x^2– 36 = 5x?


Answers

Answer:

9 and -4

Step-by-step explanation:

Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.

Answers

Answer:

∠ABC = 100°

∠ADF = 100°

Step-by-step explanation:

(8x + 4)° = (10x - 20)°

(2x)° = 24°

x = 12°

Compute, knowing that x = 12°

8x + 4 = 8 · 12 + 4 = 100°

10x - 20 = 10 · 12 - 20 = 100°

Write the product using exponents.
(-9).(-9) · (–9) · (–9) · (-9)
Using exponents the product is

Answers

Answer:

-9^5

Step-by-step explanation:

5 is the base that makes -9 repeats its self 5 times

Answer:

[tex](-9)^{5}[/tex], negative 9 to the power of 5.

Step-by-step explanation:

We multiply -9 by itself 5 times. Using the definition of exponents, we can rewrite it with base -9 and exponent 5.

I hope this helps.

What is the measure of missing angle?

Answers

115 degrees as 70+40=115 and that is equal to ?

Answer:

[tex]x = 115[/tex]

First answer is correct.

Step-by-step explanation:

lets get the missing side as x

[tex]75 + 40 = x \\ 115 = x[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

PLEASE HELP WILL MARK BRAINLIEST

Answers

true
true
false
9
are the answers:)
hope this helps!

The algebraic expression 4x2 + 3x + 5 is a polynomial.
Please select the best answer from the choices provided
T
F

Answers

Answer: The answer is False

Step-by-step explanation:

I just took it

Answer: F(x)=-4(x+7)^2-6

Answers

Answer:

y= 190

Step-by-step explanation:

y= 4(7^2)-6

Answer: 190

Hope this helps

A farmer sells 8.7 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: 5.22kg

Step-by-step explanation:

From the question, a farmer sells 8.7 kilograms of pears and apples at the market. Of the pears and apples sold, 2/5 of this weight is pears, and the rest is apples. To calculate the kilograms of apple sold goes thus:

Total kilograms sold = 8.7kg

Fraction of pears weight = 2/5

Pears kilograms sold = 2/5 × 8.7

= 0.4 × 8.7

= 3.48kg

Since the kilograms of pears sold is , 3.48kg, to get the kilograms of apple sold, we subtract 3.48kg from 8.7kg. This will be:

= 8.7kg - 3.48kg

= 5.22kg

write an expression that shows 7 times the quantity of 52 more than 6

Answers

Answer:

7·52≥6          dont do the line under the more than sign i couldnt find the symbol without the line and the dot means multiplying PLEASE MARK THE BRAINLIEST

Expressions can be represented as equations or inequalities or neither.

The required expression is: 7 * 52 - 6

7 times the quantity of 52 means 7 * 52

More than 6 means we subtract 6 from 7 * 52

So, we have:

7 * 52 - 6

Hence, the expression that shows 7 times the quantity of 52 more than 6 is: 7 * 52 - 6

Read more about expressions at:

https://brainly.com/question/8846535

A prism has a length of 13 meters, a height of 3 meters, and width of 13 meters. What is the volume of the prism? m3

NEED HELP FAST!!!!!

Answers

Answer:

507

Step-by-step explanation:

2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x-2y=-7
x = 2, y = 7
x = 5, y = 2
>
x= 3, y=5
x = 7, y=3

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

i need a queastion to answer this..

Step-by-step explanation:

Please help please

-2x - x + 8 = ?

Answers

Answer:

-3x + 8

Step-by-step explanation:

Simplify. combine like terms (terms with the same amount of variables).

Subtract -2x and x: -2x - x = -3x

-3x + 8 is your answer.

~

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63. The total possible marks for the test was 75. Which system of equations represents the situation?

Answers

Answer:

0.80A + 0.92B = 63 .....1

A + B = 75 ......2

Step-by-step explanation:

Let A and B represent the total possible score in part A and B respectively;

Analysing each sentence of the question;

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63

80% of A + 92% of B = 63

0.80A + 0.92B = 63 ......1

The total possible marks for the test was 75;

A + B = 75 .....2

So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.

Solving the simultaneous equations, we will arrive at;

Part A = 50

Part B = 25

The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.

Answers

Answer:

Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:  

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.  

Let us mark points P and Q on sides AB and FA respectively.  

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides  

[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]

Perimeter of semicircle = [tex]\pi \times radius[/tex]

Radius of semicircle is y.  

[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]

Adding equations (1) and (2):  

[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]

Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]

What is the answer for (5p2 - 3p + 4) - (2p2 - 9p + 8) ?

Answers

Answer:

3(p+1)²-7

Step-by-step explanation:

(5p² - 3p + 4) - (2p² - 9p + 8) =3p²-12p-4=3(p+1)²-7

Answer:

[tex]3p^2+6p-4[/tex]

Step-by-step explanation:

[tex](5p^2-3p+4)-(2p^2-9p+8)[/tex]

Now, combine like terms.

[tex](5p^2-2p^2)+(-3p+9p)+(4-8)[/tex]

[tex]3p^2+6p-4[/tex]

HELP ME ASAP

Find the surface area. Use 3.14 for pie

Answers

Answer:

The surface area is 1,580.99 in²

Step-by-step explanation:

Known :

Diameter (d) = 19 in

Height (h) = 17 in

Asked :

Surface Area (Sa) = ...?

Answer :

Radius (r) = ½ d = ½ × 19 = [tex] \frac{19}{2} [/tex] = 9,5 cm

Tube Surface Area Formula :

= [tex] \boxed{\bold{\pi d (r + h)}} [/tex]

= 3.14 × 19 × (9,5 + 17)

= 59.66 × 26.5

= 1,580.99 in²

So, the surface area is 1,580.99 in²

#CMIIW ^^

Need the answer for my sister at 4:40pm!!!!!!!
Find the mean and mode of: 120, 205, 90, 205, 85

Answers

Answer:

Mean = 141

Mode= 205

Step-by-step explanation:

Mean = all of the numbers added, then divided by the number of numbers there are.

120+205+90+205+85= 705

705 ÷ 5 = 141

The mode = the number that is repeated. 205 if the mode because it is the only number that is repeated.

I hope this helps :)

whats a interger with your words

Answers

Answer:The first graders began to count, naming each integer up to 100.

Step-by-step explanation:

Answer:

one of the positive or negative numbers 1, 2, 3, etc., or zero.Compare whole number.

Step-by-step explanation:

Use the protractor tool to measure the angles in the diagram.



mAngleSUT equals degrees.

mAngleTUW equals degrees.

AngleTUW is a(n) angle.

AngleSUT is a(n) angle.

AngleTUW and AngleSUT are angles.

Answers

Answer:30

150

Obtuse

Acute

Adjacent

Answer:

30

150

Obtuse

Acute

Adjacent

Step-by-step explanation:

Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50. Select the equation that matches this situation.

Answers

Answer:

42.50 = 8.50p

Solution of the equation : p = 5

The can buy 5 pizza.

Step-by-step explanation:

Given;

Total cost allocated for buying pizza C = $42.50

Cost of one pizza c = $8.50

Number of pizza they can buy = p

This can be expressed in an equation as;

Total cost = cost per pizza × number of pizza

C = pc

Substituting the values of C and c;

42.50 = 8.50p

We can solve the derived equation for p;

p = 42.50/8.50

p = 5

What is the volume of a cylinder with base radius 2 22 and height 9 99? Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer: 44[tex]\pi[/tex]

Step-by-step explanation:

khan academy

The volume of a given cylinder is 113.04 cubic units.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a cylinder with base radius 2 units and height units.

We know that, the volume of a cylinder is πr²h.

Now, volume = 3.14×2²×9

= 113.04 cubic units

Therefore, the volume of a given cylinder is 113.04 cubic units.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ2

Please help it’s multiple choice.

Answers

Answer:

I would like to help you, but I don't see the picture... I will help you the best that I can.

Step-by-step explanation:

1. Addition all the B's fractions on the diagram,

2. Put the result in decimal number,

3. Addition all the fractions on the diagram,

4. Put the result in decimal number,

5. Put the result of B on the other result to obtain a new fraction,

6. Divided the result to obtain the lowest fraction possible,

7. Here is your answer!

I can't guarantee you that it's the good answer, but it's the best that I can do.

To make the Ice cream I need 600ml of heavy wiping cream and 200g of Sweet Condensed Milk. If I only have 473ml of cream and I have the right amount of Condensed milk how much do I need to reduce the Condensed milk for it to match the recipe with reduced amounts?​

Answers

Answer:

157.6 ml of sweet condensed milk

Step-by-step explanation:

The ratio of heavy whipping cream to sweet condensed milk is a 3:1 ratio

find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8

8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units

Answers

Answer:

[tex]V=8,448u^3[/tex]

Step-by-step explanation:

The volume of a prism is given by:

[tex]V=A_{b}*h[/tex]

where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex]  is the height of thr prism.

We know that the height is:

[tex]h=22[/tex]u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

[tex]A_{b}=\frac{n*l*a}{2}[/tex]

where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]

[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,

and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]

we substitute all of this to find the area of the base:

[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]

and finally we use the formula for the volume:

[tex]V=A_{b}*h[/tex]

we get the following:

[tex]V=384u^2*22u\\V=8,448u^3[/tex]

which is the third option

1. Give an example of Similarity in your everyday life

Answers

Answer:

a similartity is we both are questioners

Step-by-step explanation:

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