The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length of the shortest side

Answers

Answer 1

Given:

The ratio of the measures of the three sides of a triangle is [tex]\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}[/tex].

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are [tex]\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x[/tex] respectively (in cm).

Its perimeter is 31.4 centimeters.

[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4[/tex]

[tex]\dfrac{3x+4x+2x}{12}=31.4[/tex]

[tex]\dfrac{9x}{12}=31.4[/tex]

[tex]\dfrac{3x}{4}=31.4[/tex]

On further simplification, we get

[tex]3x=4\times 31.4[/tex]

[tex]3x=125.6[/tex]

Divide both sides by 3.

[tex]x=\dfrac{125.6}{3}[/tex]

[tex]x=41.867[/tex]

Now, the sides of triangle are

[tex]\dfrac{1}{4}(41.867)=10.467[/tex]

[tex]\dfrac{1}{3}(41.867)=13.956[/tex]

[tex]\dfrac{1}{6}(41.867)=6.978[/tex]

Therefore, the length of the shortest side is 6.978 cm.


Related Questions

Help I will give brainlist and 30 points

Answers

Answer: the 3rd one is the only true one because there are 7 boys and 2 girls

The answer is the third one. The ratio is 7:2, so there’s 7 boys for every 2 girls.

HELP ME ;-; need it plsssssss

Answers

Similar fractions are basically fractions with the same denominator.


So the answers would be;

1.) S
2.) D
3.) S
4.) D
5.) D

Answer:

1) Similar

2) similar

3) Dissimilar

4) Dissimilar

5)similar

Step-by-step explanation:

similar:KAPAG MAGKAPAREHO ANG NUMBER NG DENAMONATOR NG ISANG FRACTION O MAG KAPAREHO ANG KANILANG NUMERATOR NUMBER

DISSIMILAR:KAPAG HINDI MAGKAPAREHO ANG NUMBER NG DENAMONATOR O HINDI MAGKAPAREHO ANG NUMBER NG NUMERATOR

My last math question of the day! Help me out!

What equation can be used to find B, the number of points scored!

Thank you!

Answers

Answer:

A

Step-by-step explanation:

Let b represent the number of points Ben scored.

We know that Lori scored 26 points.

This amount is two less than four times what Ben scored.

Four times what Ben scored will simply be 4b.

And two less will be 4b - 2.

This is equivalent to Lori's score.

So, we can write that:

[tex]4b-2=26[/tex]

Hence, our answer is A.

Answer:

I believe it is A

Step-by-step explanation:

Since in this problem you would want to find b, which is stated the is almost 4 times 26... however is 2 less. The other options are wrong since you would want a bigger number, not a smaller one... Hopefully this is helpful

What’s the common difference or ratio for the sequence 5,10,15,20,25,30,35

Answers

Answer:

the common difference is +5

Step-by-step explanation:

10-5=5

15-10=5

etc.

goes up by 5 every term so the common difference is 5 or +5

Answer:

It is 5. :)

Step-by-step explanation:

Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.

Answers

Answer:

Possible dimensions are [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex] and [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Step-by-step explanation:

Given:

Volume of a cylinder is [tex]64\pi\,\,cm^3[/tex]

To find: Dimensions of a cylinder

Solution:

Let [tex]r,h[/tex] denote height of a cylinder.

Volume of a cylinder = [tex]\pi r^2h[/tex]

Therefore,

[tex]64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h[/tex]

One possible dimension can be [tex]r=4\,\,cm\,,\,h=4\,\,cm[/tex].

Also, [tex]64=r^2h[/tex] can be written as [tex]16(2^2)=hr^2[/tex]

So, another possible dimension can be [tex]h=16\,\,cm\,,\,r=2\,\,cm[/tex]

Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)

Answers

Answer:abcd

Step-by-step explanation:

"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",

(x, y) → (x, y + h)

If the vertices of a square are,

A(1, 2), B(3, 2), C(3, 4), D(1, 4)

If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,

A(1, 2) → A'(1, 2+5)

          → A'(1, 7)

B(3, 2) → B'(3, 2+5)

           → B'(3, 7)

C(3, 4) → C'(3, 4+5)

           → C'(3, 9)

D(1, 4) → D'(1, 4+5)

          → D'(1, 9)

Therefore, Option (A) will be the answer.

Learn more,

https://brainly.com/question/13365243

the angle of a triangle in the ratio 1:3:5 how much is the larger angle​

Answers

Answer:

100°

Step-by-step explanation:

The sum of all the angles in a triangle is 180°.

This is 1 + 3 + 5 = 9

180 ÷ 9 = 20

The scale factor is 20.

Multiply 5 (the greatest angle) by the scale factor.

5 x 20 = 100

help 6x+6y=-6
x=-5y-13

Answers

Answer:

what do you need help on?

Step-by-step explanation:

In 1992 a gigabyte cost $3000. In 2012 the gigabyte price decreased by 97%. What was the cost of a gigabyte in 2012

Answers

The cost of a gigabyte in 2012 was $80 hope this helps

find the nth term  of the following sequence
-7 ,-4   , -1  ,  2  ,5​

Answers

Answer:

3n - 10

Step-by-step explanation:

Find the difference between the terms

-7 , -4 , -1,  2,  5  

  +3   +3   +3  +3

Difference of terms = 3,  so you'd write that as 3n  

Then you'd need to find the difference between the 1st term and 3:  

3 > -7

  - 10

So you'd write that as 3n - 10

Failing this class plz help

Answers

Answer:

m∠2 = 35°m∠3 = 55°

Step-by-step explanation:

Angles 2 and 3 are complementary ⇒ m∠2 + m∠3 = 90°

Angles 3 and 4 are complementary ⇒ m∠3 + m∠4 = 90

m∠2 = m∠4 = 35°m∠3 = 90° - 35° = 55°

3kg of apples and 8kg of grapes costs €7.60 in total 5kg of apples and 3kg of grapes costs €7.50in total work out the costs of a kg of each type of fruit​

Answers

Answer:

1kg of apple : €0.50

1kgof grapes : €1.20

Step-by-step explanation:

15kg of apples and 40kg of grapes costs €38

15kg of apples and 9kg of grapes costs €22.50

38 - 22.50 = 15.5

40 - 9 = 31

15.5 ÷ 31 = 0.5 ( 1kg of grapes )

0.5 × 3 = 1.5

7.5 - 1.5 = 6

6 ÷ 5 = 1.2 ( 1kg of apples )

Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

33

Step-by-step explanation:

Find the area of the triangle below. Be sure to include the correct unit in your answer

Answers

Answer:

Step-by-step explanation:

here

base(b) = 13 yd

height (h) = 4 yd

area of triangle

= 1/2 *b*h

= 1/2 * 13 * 4

= 26 yd²

Is 5/6 greater or is 9/10 greater

Answers

Answer:

9/10

Step-by-step explanation:

9/10 is equal to .9 and 5/6 is equal to .833333 and .9 is greater than .833333

Answer: 5/6

Step-by-step explanation:

because with fractions if the bottom is less than it is more than a number bigger tha it

I only need help with #17 pls

Answers

Answer:

I'm pretty sure the answer is A) Dilation.

Answer:

a. Dilation is the correct ansewr

is the discriminant of f positive , zero , or negative ​

Answers

Answer:

Negative because there's no x-intercepts!

Hope this helps!

If you spin the spinner 75 times how many 2s would you get?

Answers

Answer:

If the numbers went from 1-5 then maybe 15 at least I think or more. I don't know it is a prediction.

Step-by-step explanation:

can someone help me im stuck

Answers

Answer:

(3). 500; (4) 60

Step-by-step explanation:

4x + 5y = 102
7y + 5y = 126

Answers

Answer:

hope you like my question

Step-by-step explanation:

Hi -

What you want to do here is solve the equation by substitution.

To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.

1) Solve either equation for y. Lets go with the first one:

4x+5y=102

Subtract 4x from each side:

5y=102-4x

Divide both sides by 5

y=(102-4x)/5

2) Plug this value for y into the other equation we started with:

7x+5y = 126

7x + 5((102-4x)/5) = 126

3) Solve the resulting equation for x.

Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out

7x + 5((102-4x)/5) = 126

7x + 102 - 4x = 126

Combine the 2 x terms:

3x+102=126

subtract 102 from each side:

3x = 24

Divide both sides by 3:

x=8

Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.

4x + 5y = 102; if x = 8

32+5y = 102

subtract 32 from each side:

5y = 70

Divide both sides by 5:

y = 14

So x = 8 and y = 14.

You can check your work by plugging these numbers both into your 2 initial equations.

4x+5y=102; 4*8+5*14 = 102

7x+5y=126; 7*8 +5*14 = 126

Can someone help me out please?

Answers

Step-by-step explanation:

perp. 1/2

y - 2 = 1/2(x + 4)

y-2 = 1/2x+2

y=1/2x+4

The given point 1, -3 reflected over the x axis

Answers

Answer:

(1,3)

Step-by-step explanation:

The image of (1, -3) is (1, 3).

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Point = (1. -3)

Reflected over the x-axis.

So,

(1, -3) = (1, -(-3)) = (1, 3)

Thus,

(1, 3) is the reflected image.

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ2



Nevaeh is going to invest in an account paying an interest rate of 4.6%
compounded quarterly. How much would Nevaeh need to invest, to the
nearest cent, for the value of the account to reach $125,000 in 9 years?

Answers

$24,761.07

This is because we do $125000/1.046^36
As the interest rate 4.6% added to the original 100% is 104.6% or 1.046
The power is 36 as it is compounded 36 times as 9 years, 4 times a year

Answer:

$24,761.07

Step-by-step explanation:

Is Y=6x+11 a function?

Answers

Answer:

Yes

Step-by-step explanation:

y=6x+11

0=6x+11

-6x=11

x=-11/6

So its a solution

If the ratio for boys to girls in a summer camp is 5:7 but there's 108 kids there then how many are boys and how many are girls

Answers

There are 45 girls and 63 boys

K - 5 = 12. Solve the equation

Answers

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

The circumference of a circle is approximately 3.14 times the length of its diameter. Which inequality can be used to find all possible diameter lengths, d, if the circumference of a circle is more than 50 cm? 3.14 d less-than 50 3.14 d greater-than 50 50 d greater-than 3.14 50 d less-than 3.14

Answers

Answer:

3.14 d greater-than 50

(i also need help with one of my questions >~<)

Step-by-step explanation:

Since the circumference of a circle is approximately 3.14 times the length of its diameter, mathematically speaking:

C = 3.14d  

That expression must be greater (>) than 50:

3.14 d > 50

So, the correct option is; 3.14 d greater-than 50

5692 in standard form

Answers

Answer:

5.692 × 103.

Step-by-step explanation:

Answer:

5.692 × 10^3

Step-by-step explanation:

hope it helps you

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relationship? If so, what is the constant of proportionality? What does it represent? Write an equation to represent this situation.

Answers

Answer:

y = 2/3x

Step-by-step explanation:

Reading rate is y pages per x minutes and proportional relationship formula is:

y = kx

The coefficient is:

k = y/x

Let's verify if the given numbers fit into the same relationship:

12/18 = 2/38/12 = 2/320/30 = 2/3

We confirm all same and it means k = 2/3

Required equation is:

y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

Solve for the missing side of the right triangle. Round your answer to the nearest tenth.

Answers

Answer:

10.4

Step-by-step explanation:

with reference angle 60

perpendicular (p)= 18

base(b)= x

tan 60 = p/b

[tex]\sqrt{3}[/tex]  = 18/b

b = 10.4

10.4 is the answer.
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