Olga is putting a border around her triangular flower bed. She has 20 feet of border material, which will fit perfectly around the bed. She wants to make the flower bed larger by tripling the length of each of its sides. How much border material will she need in total?

Answers

Answer 1

Answer:

60 feet

Step-by-step explanation:

We know that a triangle has 3 sides, in this case we will call them a, b and c.

It tells us that everything is material, it measures 20, that is:

a + b + c = 20

They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:

border material need = 3 * a + 3 * b + 3 * c

common factor 3:

border material need = 3 * (a + b + c)

border material need = 3 * 20

border material need = 60

Which means that she needs a total of 60 feet of material.

Answer 2

Answer: She would need 60 ft of border material.

Step-by-step explanation: Olga has a triangular flower bed, which means her flower bed is three sided. Also it has been stated that she has 20 feet of border material available. which will fit perfectly around the bed. This also means the perimeter of her flower bed is 20 feet.

Assuming the sides of her flower bed are labeled as a, b and c. Then a plus b plus c would equal 20, since the perimeter is the addition of all sides of the triangle.

However, she intends to triple the length of each side of the flower bed, and that would translate into the sides being 3a, 3b and 3c respectively. This effectively triples the length of the perimeter which is shown as,

Perimeter = a + b + c

20 = a + b + c

3(20) = 3a + 3b + 3c

60 = 3a + 3b + 3c

Therefore, she is going to need more border material and that is calculated as 60 feet.


Related Questions

Find the indicated side of the right triangle. Please help

Answers

Answer:

14

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{7}{x} \\ \\ \frac{1}{2} = \frac{7}{x} \\ \\ x = 2 \times 7 \\ \\ x = 14[/tex]

Please help! Correct answers only please!

Answers

Answer:

5

Step-by-step explanation:

The check digit is the very last digit on the right, the one by itself

5

jdhdusndjskdbkanxjsidnw

A cake is made out of 2 identical trapezoids. Each trapezoid has a height of 11 inches and base of 9 inches and 14 inches . What is the area of one of the trapezoid pieces

Answers

Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2

The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.

Equation: ________________________

Answer: _____________________________

Answers

Equation: [tex] 4x\degree + 2x\degree = 180°[/tex]

Answer:

120°, 60°

Step-by-step explanation:

Since, sum of any two Supplementary angles is always 180°.

[tex] \therefore 4x\degree + 2x\degree = 180°\\

\therefore 6x\degree = 180°\\

\therefore 6x = 180\\\\

\therefore x = \frac{180}{6}\\\\

\therefore x = 30\\

\implies \\

4x° = (4\times 30)° = 120°\\

\&\\

2x° = (2\times 30)° = 60°\\

[/tex]

mary practiced piano for two or more hours each week write and solve an inequality to represent how many hours mary practiced the piano in 4 weeks

Answers

Answer:

Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]

Step-by-step explanation:

Mary practiced the piano for two or more each week, in other words the number of hours practiced in a week must be equal or greater than 2. A math expression that can represent this situation can be seen below:

[tex]\text{week practice} \geq 2[/tex]

The problem wants us to write an inequality to state how many hours she practiced in four weeks. In order to do this, we need to multiply the number of hours she practiced in a week, given by the last expression, by four. We have:

[tex]\text{four week practice} \geq 4*2\\\text{four week practice} \geq 8[/tex]

Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]

Factorise 3x plus 6. Please nowwww answer

Answers

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor 3 out of 3x.

3(x)+6

Factor 3 out of 6.

3x+3⋅2

Factor 3 out of 3x+3⋅2.

3(x+2)

Given A(1, 7), B(8, 4) , and C(3, 10) ), which coordinate pair will make AB parallel to CD?

Answers

Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

A(1, 7)B(8, 4)C(3, 10)D(x, y).

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

If you want to learn more, you can read:

https://brainly.com/question/12858856

Maria rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. Which denominator will the fraction always convert to a repeating decimal?

Answers

Answer:

The answer is 11

Step-by-step explanation:

Since 11 is a prime number, it cannot be divided by anything, so when it is divided by something, it will always result in a repeating decimal.

Answer:

11

Step-by-step explanation:

PLEASE HELP FOR A COOKIE

If the ratio of RS/ST=5/7, find the value of x, RS, RT.
RS=2x+9
ST=4x-15

Answers

create a ratio and cross multiply

20x - 75 = 14x + 63
6x = 138
x=23

hope this helps :)

Ms. bloom
has 15/16 of a pack of construction papers at her desk. Ms. White takes another 2 new packs of construction papers to the class for an art project. The students use 13/16 pack for the art project. How many packs of construction papers are left?

Answers

Answer:25

Step-by-step explanation:

you have to times 5 by 5

Here are four equations connecting x and y.

kis a constant

Match each equation to one of the statements A B C or D.

Equation 1 Equation 2 Equation 3 Equation 4

y=kx

y=

Ay is directly proportional to x

By is directly proportional to x

Cy is inversely proportional to x

Dy is inversely proportional to x

View One Minute Version

Answers

Answer:

The answer is explained below

Step-by-step explanation:

y = kx

A) y is directly proportional to x

When two terms are directly proportional to each other, it means that as one term increases, the other term also increases. Also as one term decreases, the other term also decreases.

If y is directly proportional to x, and k is the constant it can be represented by the equation:

y = kx

y = k/x

C) y is inversely proportional to x

When two terms are inversely proportional to each other, it means that as one term increases, the other term also decreases. Also as one term decreases, the other term increases.

If y is inversely proportional to x, and k is the constant it can be represented by the equation:

y = k/x

Look at the right-angled triangle ABC.
A
320
B
С
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.​

Answers

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

Write the vertex form for x^2 +6x +2. *write your answer as y= ()^2

Answers

Answer:

y = (x + 3)² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

To obtain this form use the method of completing the square

Given

y = x² + 6x + 2

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = x² + 2(3)x + 9 - 9 + 2

  = (x + 3)² - 7

The best and correct answer to this question is y=(x+3)^2-7

Which shows a perfect square trinomial please help soon

Answers

Answer: The answer is C, the third one.

Step-by-step explanation: Copy and paste the whole page into google. The top brainly result will appear and give the answer.

What is the surface area of a rectangular prism with a width of 5cm, length
of 4cm and height of 3cm?​

Answers

Answer:

It would be 94 cm

Step-by-step explanation:

Answer:

94 cm

Step-by-step explanation:

just googled a rectangular prism calculator

Please answer correctly !!!! Will mark brianliest !!!!!!!!

Answers

Answer:

(5x+2)(3x-2)

Step-by-step explanation:

15x^2-4x-4

= 15x^2+6x-10x-4

= 3x(5x+2) - 2(5x+2)

= (5x+2)(3x-2)

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans aas brainliest but if it has realy helped u plz don't forget to thank me my friend....

Solve for x.


Use the completing the square method.


4x2−7x−8=0


Round decimals to the nearest tenth.

Answers

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

All Food City oranges are normally $3 per pound, but this week they are on sale for $2 per
pound. What is the percent decrease in price?

Answers

Answer:

33.33%

Step-by-step explanation:

The oranges have decreased by one dollar per pound so you have to find the percentage of 3 that is 1. To do this is 1 over 3 multiplied by 100%

= [tex]\frac{1}{3} \\[/tex] * 100%

And this will give you 33.33%

which set of values belong to the domain and range of a relation

Answers

where's your picture?

Consider the function represented by the table.
The ordered pair given in the bottom row can be written
using function notation as
2
7
9
f(x)
6
3
5
f19)=5.
Of(5)=9.
O f5.9)=14
119.5)=14.
Market
Andreu
Save and Edit
com/content. Amen

Answers

Answer:

A

f(9) = 5

Step-by-step explanation:

Ex:

If we have an x value of 9, it would look like

f (9) = 9 + y-intercept

So in this situation we have a x-value of 9.

We know that at 9, y = 5.

So f (9) = 5.

Answer:

The answer is A

Step-by-step explanation:

Just took the test on Edge

I have never been marked Brainiest before if you would PLEASE pick mine.

In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical values in that order with the measures separated by commas.

Answers

Answer:112,112,68

Step-by-step explanation:

You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68

Answer:

112, 112, 68

Step-by-step explanation:

Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers) If Ramiro stops using his credit card, how long will it take him (in months) to pay off the $500.00 if he makes only the minimum payment?

Answers

Answer: It will take approximately 30 months to pay off the $500.00.

Step-by-step explanation:

Since we have given that

Principal = $10.00

Amount = $500.00

Rate of interest = 18.24%

So, we will apply "Compound interest" to find the number of months:

[tex]A=P(1+\dfrac{r}{100})^n\\\\500=10(1+\dfrac{18.24}{100})^n\\\\500=11.824^n\\\\\n\approx 2.5[/tex]

So, the number of months would be

[tex]2.5\times 12=30\ months[/tex]

Hence, it will take approximately 30 months to pay off the $500.00.

what are the coordinates of D’

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Reflection across the x-axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

We need to multiply the y-value of the pre-image by negative one to get reflected across the x-axis.

1 * -1 = -1

So:

[tex](-2,1)\rightarrow(-2,-1)[/tex]

D' should be (-2,-1).

If f(x) = 4x + 5, determine the value of f(−3) .

Answers

Answer:

F(x)= -7

Step-by-step explanation:

f(-3)=4(-3)+5

F(-3)=  - 12 + 5

F(x)= -7

Hope this helps

Answer:

f(-3)= -7

Step-by-step explanation:

To solve this problem, we want to find out what f(x) or y is, when x is equal to -3.

f(x)=4x+5

Therefore, we can substitute -3 in for x.

f(-3)=4(-3)+5

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 4 and -3

f(-3)=-12+5

Add -12 and 5

f(-3)= -7

WRITE AN EQUATION
you bought a magazine for $5 and four erasers. you spent a total of $25. write a tip step equation to find the cost of the erasers.


5+x=25. 5+4x=25. 5x=25. 25 - 5 =-4x

Answers

Answer:

5+4x=25

Step-by-step explanation:

Answer:

5+4x=25

Step-by-step explanation:

What is the area of the parallelogram. A. 131.1 m² B. 197.34 m² C. 262.2 m² D. 394.68 m²​

Answers

Answer:

D) 394.68cm^2

Step-by-step explanation:

Area of a parallelogram is calculated by multiplying height to the base

13.8 × 28.6 = 394.68

Answer:

area of parallelogram= length of base × perpendicular height

28.6×13.8

= 394.68m²

PLEASE SEE PIC BELOW

Answers

Answer: third one

Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.

state if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statement. Part 4​
a. similar, SSS similarity
b. similar, SAS similarity triangle LSR
c. not similar

Answers

Answer: a) similar, SSS similarity

Step-by-step explanation:

ΔLSR sides in order from least to greatest are: 24, 33, 36

ΔLNM sides in order from least to greatest are: 112, 154, 168

If the triangles are similar then their corresponding sides will be proportional

[tex]\dfrac{LS}{LN}=\dfrac{SR}{NM}=\dfrac{LR}{LM}\\\\\\\\\\\dfrac{LS}{LN}=\dfrac{24}{112}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{SR}{NM}=\dfrac{33}{154}\quad \rightarrow \dfrac{3}{14}\\\\\\\dfrac{LR}{LM}=\dfrac{36}{168}\quad \rightarrow \dfrac{3}{14}[/tex]

Their corresponding sides are proportional so

ΔLSR ≅ ΔLNM by Side-Side-Side Similarity Theorem

Is triangle LWO congruent to triangle BST?

Answers

Answer:last one

Step-by-step explanation:

last one

Answer:

lasat oine

Step-by-step explanation:

Which of the following inequalities are correct?
A - 2/3 < - 1/3
B. 0 > - 2/3
C. - 1/3 < -2/3

Answers

[tex]\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\[/tex]

[tex]\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}[/tex]

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