Mathematics High School

The perimeter of a triangle is 120. If the ratio of the
triangle's side is 4:5:6, what is the length of the
shortest side?

Answers

Answer 1

Answer:

32 units

Step-by-step explanation:

first, we need to split 120 between the 4:5:6 ratio.

What we need to do is make the ratio be 4x:5x:6x  (it'll still the same ratio). Then we add all of the x's together and make that equal 120.

4x+5x+6x=120

15x=120

divide by 15

x=8

Looking at the ratio, the shortest side is 4x. Since we know the value of x, we can multiply the two together.

4(8)=32 units

Therefore the length of the shortest side is 32 unites

Hope this helps!

Related Questions

Which of the following could be the measure of a pair of consecutive angles in a parallelogram?

Select the best answer from the choices provided.
A.
120° and 80°
B.
140° and 40°
C.
30° and 60°
D.
156° and 34°

Answers

Answer:b

Step-by-step explanation:it equals out to 180°

Franz used 1/12
of his new shelf space for novels and 1/3
for textbooks.

i) What fraction of his shelf space did he use?
ii) What fraction of shelf space is left for his other books?

Answers

i) 1/12+1/3= 5/12
ii) 7/12

Answer:

1/12+1/3=5/12

1-5/12=7/12

Step-by-step explanation:

add fractions used

remaining space ,subtract used fraction from the total

please answer?!!!?!?

Answers

If you’re solving for k/evaluating:
K=3,-5
If you need another answer or solving a different way lmk!(:

What is the slope indicated in the table below?

(x) 5, 10, 15, 20

(y) 7, 14, 21, 28

PLS EXPLAIN

Answers

Answer:

it goes up (x) goes by 5 and (y) by 7

Step-by-step explanation:

Find the product of 5,604 and 81

Answers

A453, 924

Step-by-step explanation:

Answer:

5,604•81= 453,924

Step-by-step explanation:

A cell phone normally sells for $500, but it is marked down 30% and you have a coupon for an additional 15% off. How much would it cost you to purchase the cell phone?

Answers

Answer:

$275

Step-by-step explanation:

30% + 15%=45%

45% of 500 is 225, because 500 x 0.45=225. Then subtract the discount from the total, 500 - 225, and you get 275

I need help with this

Answers

Answer:

C

Step-by-step explanation:

You have to distribute the negative into the second set of parentheses first, and since 2x is positive, it will be negative, -3 is negative so it will be positive, and 18 is positive so it will be negative

Can someone help!
What is 10% of 812?

Answers

Answer:

81.2

Step-by-step explanation:

Solve for m. 4 = 20m Simplify your answer as much as possible.

Answers

Answer:

0.2

Step-by-step explanation:

Andrew has $800 saved in his bank account, and he adds $50/month from his
allowance.

Answers

Answer:

So if you want an equation its

800+50x=?

So x could be the amount of months

What is the scale factor of the dilation shown?



A. 32
B. 2
C. 3
D. 23

Answers

Answer:

D

Step-by-step explanation:

Hope I helped good wap

5 feet a width of 2 feet and a height of 3 feet. What is the volume of the fish tank​

Answers

Answer:

30.

Step-by-step explanation:

Multiply length, width, and height.

please help! everything is in the ss below

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

c - 12 > -16

  + 12   + 12

c > -4

The price of a laptop changed from $350.00 to $550.00. What is the percent change in the cost of the laptop? 200% increase 200% decrease 57.14% increase 57.14% decrease

Answers

Answer:

57.14% increase

Step-by-step explanation:

$350÷$200(amount of increase) = 0.5714

0.5714×100= 57.14%

Can someone answer these two questions I submitted a photo of them it’s worth 50 points

Answers

Answer:

Step-by-step explanation:

1). Let the equation of the line is,

  y = mx + b

  Here, m = slope of the line

  b = y-intercept

  Slope of a line passing through two points,

  m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

  We take two points from the table given (-3, -19) and (0, -1)

  m = [tex]\frac{-19+1}{-3-0}[/tex]

  m = 6

  y - intercept 'b' = -1 [For x = 0]

  Therefore, equation of the line will be,

  y = 6x - 1

2). Equation of a line passing through a point (x', y') is,

   y - y' = m(x - x')

   Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   We take two points from the given table as (2, 12) and (3, 18).

   Slope of the line passing through these points will be

   m = [tex]\frac{18-12}{3-2}[/tex] = 6

   Equation of the line passing through (2, 12) will be,

   y - 12 = 6(x - 2)

   y = 6x - 12 + 12

   y = 6x

By using a graphing tool we can graph these lines representing the tables.    

6x + 39 (if x = 10)..

Answers

Answer:

3(2x+13) or 99

Step-by-step explanation:

Factor 6x+39

6x+39

=3(2x+13)/ 99

Answer:

3(2x+13) or 99

Answer:

99

Step-by-step explanation:

x=10 we know that

so then we have 6 lots of 10s

that is 60

next step is 60+39

that equals to 99

Write an equation in slope intercept form of the line that passes through (-2,10) and (1,1).

Answers

Answer:

Step-by-step explanation:

1st use the two points to find the slope of the line that passes thru those two points

m = y2 - y1 / x2  - x1    

where point1 = ( x1, y1 )  and point2 = (x2, y2 )

your are given P1 = ( -2,10)  and P2 = (1,1)

find the slope

m = 1-(-2) / 1-10

m = 1+2 / -9

m = 3 / -9

m = - 1/3

then use the point-slope formula [y-y1 = m(x-x1)] with either of the two points, I'll use P2 b/c it seems easier (1,1) , you get the same results with either point and work the problem to the slope-intercept form [y = mx +b ]

y -y1 = m(x-x1)

y-1 = -1/3(x-1)

y-1 = -1/3x + 1/3

y = -1/3x + 1/3 + 1

y = -1/3x + 4/3

:)   got it ?

A dog kennel board dogs for $8 a day. The kennel will also groom a dog for $12. Write an equation that gives the total cost of lodging a dog and having it groomed once before it comes home.

Answers

Answer: $8.00+$12.00=$20.00

CAN SOMEONE PLEASE HELP ME SOLVE THIS

Answers

There is No solution to that problem so it’s b :)
The answer should be B because when you solve the problem you get
5x-15 = 5x+15 and those aren’t equal so that crosses out C and D and it can’t be an infinite number is solutions if they aren’t equal

Which expression represents the correct form of the partial fraction decomposition of 19x + 20 answer asap

Answers

The answer in the problem will be B I believe

Answer:

B

Step-by-step explanation:

got it right on edge

What is the value of the exponential expression5^0

Answers

The value is 1, any number multiplied by 0 is 1

Does anyone know the answer for this?​

Answers

Answer:

Up 2, right 5

Step-by-step explanation:

DON'T ANSWER IF YOU DON'T KNOW THAT ANSWER I NEED ANSWERS PLEASE ASAP DUE TODAY ALL 5 QUESTIONS PLEASE AND WHAT YOU DID TO GET THAT ANSWER PLEASE PLEASE

The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahead by one goal, and they will win if the other team does not score. The other team takes 5 shots in the final 10 minutes. The Iceblades do not score any more goals.

The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.


Answer the questions to estimate the probability that the Iceblades will win the game.


1. The paired digits 00 to 99 represent 100 shots.

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.


2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?


3. Group 1 is a success. Explain why.


4. In this simulation, which groups are successes? How many successes are there in the 10 groups?


5. Estimate the probability the Iceblades will win the game. Give your answer as a percent.

Answers

Answer:

5 goals

Step-by-step explanation:

Answer:

I only know number 1 and 2, but number 1 was already answered.

Step-by-step explanation:

I'll see if i can come back with all of the answers, but number 2 is 3.


Which expression is equivalent to 1/3y?

1. 1/3 (y + 12) - 12

2. 1/6y+ 1/3 (y+3)

3.1/6y+ 1/6(y+12)-2

4. 1/3y +1/3(6-y)

Please hurry I’m in a meet :,(

Answers

Step-by-step explanation:

1/6y+ 1/6(y+12)-2

hope it helps !

Kathy is going to buy a book at the bookstore for $9.45. The tax rate is 10%. What is the total cost Kathy would have to pay?​

Answers

9.45 * 0.10 = 0.945
9.45 + 0.945 = $10.395
Solution: around $10.40
$10.40 is the answer

Find the percent of increase from 28 songs to 57 songs. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

The answer is 50.8 but to the nearest tenth its 51% increase

Step-by-step explanation:

Will give 100 points and Brainliest for this question

Answers

Answer:

I think it is B

Step-by-step explanation:

hope this helps please give brainliest

Answer:

ty

Step-by-step explanation:

If f(x) = 5 + 4(x - 4)?,
what is f(7)?

Answers

Answer:

Let's solve for f.

x=5+4(x−4)f(7)

Step 1: Flip the equation.

28fx−112f+5=x

Step 2: Add -5 to both sides.

28fx−112f+5+−5=x+−5

28fx−112f=x−5

Step 3: Factor out variable f.

f(28x−112)=x−5

Step 4: Divide both sides by 28x-112.

f(28x−112)28x−112=x−528x−112

f=x−528x−112

Answer:

f=x−528x−112

anyone know this answer?

Answers

Answer:

The answer is invalid . R Is not remotley equilvent to T. If you try rooting it you will get runied

Step-by-step explanation:

Which expression is equivalent to √147

Answers

12 is sq root of 144
Hope that helps
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