The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.

Answers

Answer 1

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.


Related Questions

Without doing any calculations, is positive or negative?

Explain your reasoning.

Answers

Is WHAT positive or negative?

Answer:

what is positive or negative???

Veronica tried to solve an equation step by step.

8 = y - 4.6

8 + 4.6 = y - 4.6 +4.6 Step one

12.6 = y step two

Which step is wrong or are no steps wrong?

Answers

No steps are wrong. To solve this equation, you need to isolate the y. So, you would add 4.6 to both sides to cancel out the 4.6 on the right side and isolate the y.

To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help

Answers

Answer:

5 pints is needed

Step-by-step explanation:

2 pints of white paint for pink

1 pint of red for pink

10 pints of white paint = 5 pints of red

help please I'm stuck

Answers

Step-by-step explanation:

the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.

so, the length is still 4.

y=1.5x+8 which represents the equation when solved for x?

Answers

[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]

work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator

Answers

The answer is 34.54 cm

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: Radius=11cm

Thus circumference of the semi-circle is = πr

                                                                      =3.14×11

                                                                       =34.54 cm

Hence, The answer is 34.54 cm

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Please help, I don't know how to get all the angle measurements.

Answers

Answer:

Step-by-step explanation:

From the markings p and q are opposite equal sides. That means that p = q

Since = 24 then q must also be 24

r is an exterior angle. It is equal to the two remote interior angles which in this case are p and q

r = p + q   But p and q are both  equal

r = 24 + 24

r = 48

From the markings r and s are opposite equal sides. That means that r and s are equal.

s = r

s = 48

t is another exterior angle. It is = to the sum of the two interior angles

so t = r + S

t = 48 + 48

t = 96

Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a multiple of 3.

Answers

Answer

1/3

Step-by-step explanation:

if you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find My number.

Answers

Answer:

Step-by-step explanation:

The number is 12.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than two-thirds of my number.

-> 3(n + 12) = 64 more than

-> 3(n + 12) = 64 + 2n/3

[Given]

3(n + 12) = 64 +  2n/3

[Distribute]

3n + 36 = 64 + 2n/3

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

hence, The number is 12.

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What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4

Answers

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

------------

   x - 2 (answer) ("x minus 2")

pls help on my maths

Answers

Answer:[tex]r = 2.82[/tex]Step-by-step explanation:

Given:

[tex]A = 25[/tex]

Let's simplify.

=> [tex]25 = \frac{22}{7} r^{2}[/tex]=> [tex]\frac{25}{\frac{22}{7} } = \frac{\frac{22}{7}r^{2} }{\frac{22}{7\\} }[/tex]=> [tex]\frac{7(25)}{22} = r^{2}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= \sqrt{r^{2}}[/tex]=> [tex]\sqrt{\frac{25(7)}{22}}= r[/tex]=> [tex]r = 2.82[/tex] (Estimated)

Therefore, r ≈ 2.82.

Hoped this helped.

Answer:

r= 5/√  π

or

r=2.820948 or simplified =2.82

Step-by-step explanation: it could be either one of these

The graphs of 4x+12y=8 and y=mx+5 are perpendicular. What is the value of​ m?

Answers

Answer:

m = 3

Step-by-step explanation:

Slope of first one is -1/3

Perpendicular therefore m = -(-1/3)^(-1) = 3

m = 3

Answer:

Given the equation line 4x+12y=8

Step-by-step explanation:

The equation is y=mx+5y=mx+5

The line passes through A(3,14)A(3,14)

Putting (x,y)=(3,14)(x,y)=(3,14), we have…

14=3m+514=3m+5

⟹3m=9⟹3m=9

⟹m=3

The graph shows the number of possible passengers for a given number of roller coaster cars that leave the platform. Complete parts a and b.
m = 24 - [?] / [?] - 2 = [?]/1
y = [?]x

Answers

The linear equation is y = 8x and the slope of the graph is 8

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

Using the points (2, 16) and (3, 24):

[tex]slope(m)=\frac{24-16}{3-2}=8[/tex]

Hence the linear equation is y = 8x

Find out more on linear equation at: https://brainly.com/question/14323743

last month nick spent $50 this month he spent 60% of last month how much did nick spend

Answers

Answer:

Nick spent $30.00.

Step-by-step explanation:

60% of $50.00

60% ÷ 100 = 0.6

0.6 x 50 = 30

Answer:

30$

Step-by-step explanation:

last month nick spent $50 this month he spent 60% of last month how much did nick spend?

50 : 100 * 60 =

0.5 * 60 = 30$

a locker room contains 21 books. you select 7 books at random. how many different sets of books can you select

Answers

Answer:

14

Step-by-step explanation:

3x7=21 you take away 7 books you would have 14 left or 7x2

Please answer fast this is due soon

Answers

Step-by-step explanation:

multiply the first equation by 1, the second by -1 and add.

x + 2y = -16

-x - 6y = 28

--------------------

0 - 4y = 12

-4y = 12

y = -3

x + 2×-3 = -16

x - 6 = -16

x = -10

please help me!!!!!!! due soon

Answers

Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(4x + 11) is an exterior angle of the triangle , then

4x + 11 = 3x - 24 + 2x

4x + 11 = 5x - 24 ( subtract 5x from both sides )

- x + 11 = - 24 ( subtract 11 from both sides )

- x = - 35 ( multiply both sides by - 1 )

x = 35 → A

A. Is the answer! Hope it helps

Which point is the circumcenter of the triangle?

Answers

Answer:

it is D

Step-by-step explanation:

For knowing it, it is necessary to draw straight line above the triangle from the middle of the sides, forming a 90° degree angle. But as they are already drew, it is easier

Given ΔABC with points A, B and C on the circle, the circumcenter of the triangle is point D.

Circumcenter of a circle is the point where the perpendicular bisectors on the sides of the triangle, whose vertices touch the circumference of the circle, intersect.

Perpendicular bisector of a line segment is another line segment which makes an angle of 90 degrees with it and divide the line segment into two equal parts.

In the given figure, we have triangle ABC.

A, B and C vertices touch the circle.

We need to find the circumcenter of the circle.

The sides of the triangle ABC are AB, BC and AC.

The perpendicular bisectors of the sides AB, BC and AC are ED, GD and FD respectively. We can verify so from the figure.

The point where the three perpendicular bisectors meet is the point D, again from the figure, thus, clearly point D is the circumcenter of the triangle.

Learn more about circumcenter here

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Brainliest
Please do one of the above
(I would appreciate if you did more then one)

Answers

Answer:

5. 7.5m

6. 3, 925m

7. 383.9m

8 42.99m

Answer:

Step-by-step explanation:

Select the four equivalent expressions to 4x^2 - 4x -24

A - 2x^2 - 2x - 12

B - 4(x^2 - x - 6)

C - 4(x - 3)(x + 2)

D - (2x - 2x)^2 - 24

E - (4x - 12)(x +2)

F - (x - 3)(4x + 8)

Answers

Answer:

b. 4(x^2 - x - 6)

c. 4(x - 3)(x + 2)

e. (4x - 12)(x +2)

f. (x - 3)(4x + 8)

hope it helps :)

mark brainliest!!

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82

Answers

Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 0ºC, hence [tex]\mu = 0[/tex].The standard deviation is of 1ºC, hence [tex]\sigma = 1[/tex].

The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Kameron wrote the following equation:

4x - (x - 3) = 18

Using the distributive property, what would her next step be?

Answers

Answer:

hope it helps you..........

9 + (-6) = 3 is this correct

Answers

Answer:

yes u are correct,it's does equal that

468 divided by 3 step by step solution

Answers

Answer:

156

Step-by-step explanation:

468 ÷ 3

= 156

hope u liked the answer :)

#keep learning

Need all answers a lot of points

Answers

F is the answer for the first one

The Y intercept is 3. Since it’s going up 3 over one, the fraction is 3/1 which can be simplified to 3. and the graph is going up since you go from left to right. So F [ y=3x+3] is the correct answer

The table below shows the number of minutes a household phone is used daily based on the number of household members.

Which equation best models this set of data?

A. P = -20.2x^2 - 1.3
B. P= -20.2x - 1.3
C. P= 20.2X^2 + 1.3
D. P= 20.2x + 1.3

Answers

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

if f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)

Answers

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =

Answers

Answer:

10

x

2

x

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

Have a nice day/night/afternoon.  

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

a *blank* *blank* trinomial has only one element in the solution set

Answers

Answer:

a solution set trinomial has only one element in the solution set

Step-by-step explanation:

I don't understand raitos please help solve math problems

Answers

1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!
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