The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =

Answers

Answer 1

Answer:

X = 48 inches  for the shortest side

Step-by-step explanation:

9s = first side

10s = second side

4s = third side

Perimeter = sum of the sides

 276 = 9s + 10s + 4s

  276 = 23s

 276/23 = s

     12 = s

9s = first side;  9(12) = 108

10s = second side;  10(12) = 120

4s = third side; 4(12) = 48  


Related Questions

Find the equation of the line.

Answers

Answer:

Step-by-step explanation:

(-4,-5) and (6,4)

Slope: (4 - - 5) / ( 6 - - 4) = 9/10

y-intercept= - 5 - (9/10)(-4)

= - 5 + 36/10 = -7/5

y = 9/10x - 7/5

The equation of the line is x + 10y -19 = 0.

We are given that;

The points of line segment= (6,4) and (-4,5)

Now,

To find the equation of a line given two points, we can use the two-point form formula:

y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1)

where (x 1, y 1) and (x 2, y 2) are the two given points and (x, y) is any point on the line.

We have:

(x 1, y 1) = (6,4)

(x 2, y 2) = (-4,5)

Substituting these values into the formula, we get:

y − 4 = 5 − 4 -4 − 6 ( x − 6)

Simplifying and rearranging, we get:

y = -1/10 x + 19/10

This is the equation of the line in slope-intercept form. We can also write it in standard form by multiplying both sides by 10 and moving all terms to one side:

x + 10y -19 = 0

Therefore, by equation the answer will be x + 10y -19 = 0.

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[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{Answer}}}}}}[/tex]

Since column 3 of the given matrix consists of numbers which are all constant multiples of each other, there is a theorem which states that the determinant of this matrix is 0 .

However, I will prove it from calculation just to verify and show how you would calculate such determinants should you not be aware of the theorems of linear matrix algebra.

Use co-factor expansion along any row or column of your choice.

This involves adding the products of the entries in each row with their co-factors[tex] { - 1}^({i + j} )[/tex]for an entry in row I and column j, multiplied by the minor of the entry, formed by evaluating the resulting determinant when you delete row I and column j.

In this case, since the given matrix is 3x3 indimension, it will result in three 2×2 determinants which we can find from definition[tex] \binom{a \: b}{c \: d} [/tex] = ad-bc

I will take co-factor expansion along row 1 as an example to find the determinant of the given matrix as :

∆=[tex] 1( - 1) {}^{1 + 1} {} \binom{56}{8 \: 9} + 2( - 1) {}^{1 + 2} \binom{4 \: 6}{7 \: 9} + 3( - 1) {}^{1 + 3} \binom{4 \: 5}{7 \: 8} \\ = 1(45 - 48) +( - 2)(36 - 42) + 3(32 - 35) \\ = - 3 + 12 - 9 \\ = 0 [/tex]

The sum of two numbers is 17 and their product is 66 what are the two numbers.

Answers

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6

Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.

Answers

Answer:

the probability is 1 and 2

What is the sum of the two expressions? (3/7x+4)+(1/7x-2)

Answers

Combine the like terms:

3/7x + 1/7x = 4/7x

4 + -2 = 4-2 = 2

Answer: 4/7x + 2

Tarik filled his tank with 11 gallons of
premium gasoline. He paid $38.76. How
much did Tarik pay per gallon?

Answers

I think the answer is he payed $3.40

1. The method of substitution is likely the best method for which system?

−8x−2y=18x−2y=5

2x+y=103x+2y=5

5x−2y=32x+2y=1

−3x+2y=93x−5y=4


2. Solve the system of equations using the substitution method.

5x−4y=−15x−3y=−3

(3, 0)

(0, -4)

(-3, 0)

(0, -3)

Answers

Answer:

2.) x=−3 and y=0

Step-by-step explanation:

im still tryna figure out answer to number 1. sorry

What is the expanded form of 14.702

Answers

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

Which of the following statements are correct?
Please help

Answers

Answer:

True A. angles one and five are corresponding angles.

True B. angles three and six are alternate interior angles.

False C. angles two and seven are alternate interior angles.

Angles two and seven are alternate exterior angles.

False D. angles five and eight are alternate exterior angles.

Angles five and Eight are verticle angles.

False E. angles two and four are same-sided consecutive angles.

Angles two and four are supplementary angles

True F. angles four and six are same side consecutive angles.

True G. angles one and eight are alternate exterior angles.

1) The temperature in Chicago is 42°F and the temperature in
Dayton is 19° cooler. What is the temperature in Dayton?
A. 25°F B. 61°F C. 23°F D. 58°F

Answers

Just subtract 19 from 42

Please take a look at the picture.

Answers

Answer:

B, and A

Step-by-step explanation:

big brain time

Charlie saves $2 for every $9 he earns. Melody saves $4 for
every $12'she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned?

Answers

no they are not equivalent

Step-by-step explanation:

due that when you subtract 12 from 4 =8

but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more

what is the trend of the graph of the equation y = 3x + 10​

Answers

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

Find the slope of the line that passes through:
(6,7) and (4,2)

Answers

Answer:

5/2

Step-by-step explanation:

Slope = Change in y/Change in x

Slope = 2 - 7/4 - 6

Slope = -5/-2

Slope = 5/2

-Chetan K

5. What does the following addition equal?
3 and 7 eights + 6 and 5 eights

Answers

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

How do you find the answer for 30=6x+20

Answers

Answer:

5/4

Step-by-step explanation:

How do you find the answer for 30=6x+20?

solve for x

30 = 6x + 20

10 = 6x

x = 10/6

semplify

5/4

------------------ check

30 = 6 * 10/6 + 20

30 = 10 + 20

30 = 30

the answer is good

I need to know the answer

Answers

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

Trayvon enters a competition to guess how many balls are in a barrel.
Trayvon’s guess is 63 balls.
The actual number of balls is 60.

What is the percent error of Trayvon’s guess?

Answers

5% error

Step-by-step explanation:

% error = (estimation - actual value)/actual value * 100%

Trayvon's estimation is 63 and the actual value is 60, so our expression is:

(63 - 60)/60 * 100

63 - 60 = 3, so we get:

3/60 * 100

And 3/60 = 0.05, so now we have:

0.05 * 100 = 5

The percent error of Trayvon’s guess is 5%

What is the absolute error?

"It is the absolute difference between an observed value and the actual value."

What is the relative error?

"It is the ratio of the absolute error of the measurement to the actual value."

What is the percent error?

"It is the relative error multiplied by 100."

For given example.

Trayvon’s guess is 63 balls.

[tex]V_o=63[/tex]

The actual number of balls is 60.

[tex]V_A=60[/tex]

The absolute error is,

[tex]\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3[/tex]

The relative error is,

[tex]\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05[/tex]

The percent error is,

[tex]\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%[/tex]

Therefore, the percent error of Trayvon’s guess is 5%

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What is sin 60°?
WA :)
an
2
90
30
5
A. I
оо
B.
-IS
o
C. 1
D.
O
E. 5
o
OF
PREVIOUS

Answers

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

2 paisa per 2 rupees per month​

Answers

Answer:

2 paisa per rupees per month

So rate= 2%

x – 1= 4x + x - 8+ 3x

Answers

Answer:

1

Step-by-step explanation:

Add one on both sides, combine like terms and solve.

Simplify the following expression
3x + 2(x +6) -4 -2x

A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10

Answers

Answer:

C

Step-by-step explanation:

3x+2(x+6)-4-2x.

First, we do the parenthesis.

This gives us: 3x+2x+12-4-2x.

Then, we reorder so like terms are together.

This gives us: 3x+2x-2x+12-4.

Then, we combine like terms.

This gives us: 3x+8, which is C.

URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?


C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.

Answers

Answer:

C must be acute, and ABC cannot be constructed

Step-by-step explanation:

24 degrees is under 90 degrees making angle c an acute angle.

ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.

Have a great day friend! :D

Answer:

C must be acute.

Step-by-step explanation:

The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.


Use the graph to determine the
solution (solutions) of the equation
f(x) = 0.

Please help, with explanation

Answers

Answer:

  -3, 1

Step-by-step explanation:

The vertical scale of the graph is f(x). So, f(x) = 0 is the x-axis. Where the graph crosses the x-axis, the value of f(x) is 0.

The x-axis is labeled on alternate lines. Those labels are sufficient to tell you that each grid line represents one unit. The curve intersects the x-axis 3 units to the left of the vertical axis, at x = -3, at 1 unit to the right of the vertical axis, at x = 1.

The values of x where f(x) = 0 are -3 and 1.

HELP ME OUT PLEASE

Use the data to create a scatter plot. ​

Answers

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Explain how you can write 4.1 as a/b

Answers

Answer:

ax + by

Step-by-step explanation:

i hope its correct

if its wrong then im sorry :)

answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss

Answers

They think I’m too young to love you I don’t know what I need

(2, 7); m = -3
(Write an equation in point-slope form of the line that passes through the given point and has the given slope)

Answers

Answer:

Step-by-step explanation:

y - 7 = -3(x - 2)

y - 7 = -3x + 6

y = -3x + 13

If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)

Answers

Answer:37.5

Step-by-step explanation:

2 1/2 as an improper fraction is 5/2

If i'm wrong tell me please i hope this helped you

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