Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest side is twice the smallest and the other side is four less than three times the smallest, find the length of each side of the triangular collage

Answers

Answer 1

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet


Related Questions

6/x + 8/x+5 = 3

What is x

Answers

Answer:

x = -7

Step-by-step explanation:

6/x + 8/x + 5 =3

5x + 14 /x =3

Step 1: Multiply both sides by x.

5x+14=3x

5x+14−3x=3x−3x(Subtract 3x from both sides)

2x+14=0

2x+14−14=0−14(Subtract 14 from both sides)

2x=−14

2x

2

=

−14

2

(Divide both sides by 2)

x=−7

Check answers. (Plug them in to make sure they work.)

x=−7(Works in original equation)

Answer:

-7

Step-by-step explanation:

Solve for  

x

by cross multiplying.

x

=

29

i am a three digit number. i am divisible by 5. i am an even number each of my digits are different my tens is greater than my ones digit. my hundreds digit is greater than my tens digit. i am less than 400. i am divisible by 3. i have only one odd digit. my tens digit is 1. what number am i?

Answers

Answer:

210

I am divisible by 5.

So your ones digit is 0 or 5

I am an even number.

So your ones digit is 0.  We fill that in.

_ _ 0

My tens digit is 1.

So we fill that in.

_ 1 0

 

My tens digit is greater than my ones digit.

Well, of course 1 is greater than 0. We didn't need to be told that.

I have only one odd digit.

Since the 1 is odd, the hundreds digit is even, 2,4, or 8

I am less than 400.

So your hundreds digit is 2.  Fill that in and we're done.

2 1 0

My hundreds digit is greater than my tens digit.

Of course 2 is greater than 1, we didn't need to be told that.

I am divisible by 3.

Of course 210 is divisible by 3.  We didn't need to be told that.

 

Too much information!

Answer: 210

Karen cut away 49 centimeters of rope. Before that, she had 807.49 centimeters of rope. How much rope does Karen have left?

Answers

Answer:

758.49 cm

Step-by-step explanation:

1. Subtract

8 0 7 . 4 9

  4 9 . 0 0

7 5 8 . 4  9

Which value is an approximate of √27 (square root of 27)
A: 3.0
B: 5.2
C: 9.0
D: 13.5

Answers

Answer:

C) 5.2

Step-by-step explanation:

The real thing looks like this 5.19615242 …

But if you round it, the answer would be 5.2.

Answer:

B

Step-by-step explanation:

Round to the nearest integer. Its closest to 5, because its sqrt 25

Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.

Answers

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

11. Given h(x) = 3x + 7, what is the value of h(-2.5) ?

Answers

Answer: It's -0.5 when substitute the value of x into the right side and solve

Note this answer is from someone else.. I came here for the same question lol

In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
written in scientific notation?
A
2.07 x 108 passengers
B
2.07 x 104 passengers
C
2.07 x 107 passengers
D
2.07 x 10
passengers

Answers

C is correct the number of zero after 2 is 7

PLEASE HELP WILL GIVE BRANI FOR ANY RIGHT ANSWER

Answers

Answer:

the bottom left one error is on step 3

Step-by-step explanation:

Answer:

poines

Step-by-step explanation:

Can someone please explain to me how to work this out?

Answers

Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

This year Ana’s mother is 2 years more than 3 times Ana’s age.

Answers

Answer:

m= 3a + 2

Ana's mother is "m"

Ana is "a"

how can i get 6 from four 6s . 6?6?6?= 6 we have to use -,+, division or multiplication

Answers

Answer:

ur wegfew

Step-by-step explanation:

Answer:

6?6?6?6?=6 can be 6+(-6)+*6+6which is equal to 6

I MADE ONE OF THE SIXS NEGATIVE SO, IT CAME AS 6+ NEGATIVE 6=0 AND THEN MULTIPLIED ONE SIX SO, 0*6=0 AND THEN FOR THE LAST SIX I MADE IT ADDITION SO, 0+6=6

AND THUS, FINAL ANSWER BECAME 6 ITSELF

The cost of a layer cake is $17 plus $5 per layer. If Paul has only $30 to spend on a cake, what is the most number of layers he can afford?
(Show how to solve it)

Answers

Answer:

The most number of layers he can afford is 2

Step-by-step explanation:

We automatically have a fee of 17 so we know we have 13 dollars remaining. Using this information, we know that one layer is 5 dollars which means we can get 2 layers which is equal to 10 dollars which turns our total fee to $27. Hope this helps!

first off you have the starting cost (C).
C=$17

each layer is $5, so that becomes 5x.

the equation will be $17+5x=30

hope this helped !! :)

3(5x+2)=2(3x-6)
help i need to show work and I have no idea how to do this

Answers

Answer: its −2

Step-by-step explanation:

3*(5*x+2)-(2*(3*x-6))=0  

Step by step solution :

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)  

Equation at the end of step

2

:

 (3 • (5x + 2)) -  6 • (x - 2)  = 0  

STEP

3

:

Equation at the end of step 3

 3 • (5x + 2) -  6 • (x - 2)  = 0  

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  9x + 18  =   9 • (x + 2)  

Equation at the end of step

5

:

 9 • (x + 2)  = 0  

STEP

6

:

Equations which are never true

6.1      Solve :    9   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.2      Solve  :    x+2 = 0  

Subtract  2  from both sides of the equation :  

                     x = -2

One solution was found :

x = -2

The answer is -2. Below are the steps.

What is the midpoint of a segment with endpoints at (3,5) and (7,7)

Answers

Answer:

5,6

Step-by-step explanation:

its a guesssssssssssssssssssssss

Help please!!!!! put a answer and explanation WILL GIVE BRAINIEST

Answers

Answer:

1. false

2. true

3. false

4. true

Step-by-step explanation:

4. 1/9 rational + 2 irrational= 8 irrational

Number 4. I need help finding the value please help

Answers

Answer:

Step-by-step explanation:

PLEASE HELP MEEEEEEEEE
Q7) ) Match each rectangular sequence with the oval nth term expression card. ( write the number of the formula against the letter of the sequence, eg: card F- card vi) *

Answers

Answers:

A. i
B. iv
C. ii
D. v
E. iii

Explanation:

because A: in n-3, first term is -2 , second terms is -1, third term is 0

B: 3n+3, first term is 6, second term is 9, third terms is 12.

C: 3n, first term is 3 , second term is 6, and third term is 9.

D: 3-n, first term is 2, second is 1 , and third is 0.

E: 3n-3, first terms is 0, second 3 and third is 6.

which of the following best describes this graph?

Answers

Answer:

B. y=x^2 +7x +10

Step-by-step explanation:

I need help with this question. ​

Answers

Answer:

B!

Step-by-step explanation:

On Average, Mercury is about 57,000,000 Km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury’s and Neptune’s distances from the sun?

Answers

Answer:

4.443 x10^9

Step-by-step explanation:

Anyone know how to do these?

Answers

Answer:

1.4x10^-7

Step-by-step explanation:

For Problem 6

First we would divide the first numbers together so 7.84 / 5.6 = 1.4

We then would add the exponenites together so -3+-4=-7

Leading our awnser to be 1.4x10^-7

help please! I am doing multivariable equations. ​

Answers

Answer:

(c+3b)/8 = a

Step-by-step explanation:

c = 8a -3b

Add 3b to each side

c +3b = 8a-3b+3b

c +3b = 8a

Divide each side by 8

(c+3b)/8 = 8a/8

(c+3b)/8 = a

Answer: a=3/8b+c/8

Explanation: c=8a-3b, if you're wanted to solve for a you need to subtract 8a from both sides, c-8a=-3b then subtract c from both sides, -8a=-3b-c then divide both sides by -8 a=3/8b+c/8

−7 + 3(8n − 8) = 8(7 + 3n) please show work

Answers

Answer:

Step 1: Simplify both sides of the equation.

−7+3(8n−8)=8(7+3n)

−7+(3)(8n)+(3)(−8)=(8)(7)+(8)(3n)(Distribute)

−7+24n+−24=56+24n

(24n)+(−7+−24)=24n+56(Combine Like Terms)

24n+−31=24n+56

24n−31=24n+56

Step 2: Subtract 24n from both sides.

24n−31−24n=24n+56−24n

−31=56

Step 3: Add 31 to both sides.

−31+31=56+31

0=87

Answer:

There are no solutions.

Step-by-step explanation:

How do you solve a perpendicular equation? ​

Answers

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

30 POINTS!!
HELP ME PLZZ THIS IS DUE TOMRROW !!!

Answers

Answer:

Commutative property

Step-by-step explanation:

find the value of a

Answers

Answer:

45

Step-by-step explanation:

81° + a° + 2a° = 180°

81° + 3a = 180°

3a = 180 - 81

3a = 99°

a = 99 ÷ 3

a = 33°

Therefore , a = 33° .

Multiply:

2 × (–21) × 7

Answers

Answer: 294

Step-by-step explanation: multiplying 2 x -21 = 42 42 x 7 = 294

Triangle congruence

Answers

Answer:

Please provide more details.

Step-by-step explanation:

Which of the following quadratic equations has no real solutions?
A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0

Answers

Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

Explain why 10 x 2 is equivalent to 10 ÷ 1/2.

Answers

Answer:

in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)

Step-by-step explanation:

in this case, 10 divided by 1/2 turns to 10 x 2/1

i tried my best, sorry if i couldnt help

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