which of the following sets of numbers could represent the three sides of a triangle?\

{10,21,32}
{13,17,32}
{14,24,40}
{13,16,27}

Answer:

25.92

Step-by-step explanation:

Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.

In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

Answer:

B

Step-by-step explanation:

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = [tex]\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

Arc length formula:

Substitute values:

Answer:

w to r to a

Step-by-step explanation:

e to c to p

Answer:

w to r to a

Step-by-step explanation:

Step-by-step explanation:

Let breadth =x

Length=5x-3

As we know that in a rectangle

[tex]\boxed{\sf Area=lb}[/tex]

[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]

[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]

[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]

[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]

[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]

[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]

Answer:

-95

Step-by-step explanation:

Follow order of operations,

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Make sure to do them left to right

Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

Please mark brainliest

Answer:

40

Step-by-step explanation:

162/4.1= 39.51 round to 40

The solution of the equation after dividing would be 40.

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

162 divided by 4.1

Now divide the numbers,

162 divided by 4.1

It can be written as,

162 ÷ 4.1

162 / 4.1

1620/41

This gives,

39.512

Rounded to whole numbers,

40

Therefore, the solution is 40.

To learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

Answer:

irrational decimal

Step-by-step explanation:

It can't be repeated, can't go on forever, so it is an irrational decimal.

Answer:

32 ft tall

Step-by-step explanation:

24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32

Answer:

x = -3 + i√6 and x = -3 - i√6

Step-by-step explanation:

Let's apply the "completing the square" method to find the roots of this equation.

Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x.  Then subtract the same quantity:

x^2 + 6x + 15 becomes

x^2 + 6x + 3^2 - 3^2 + 15 = 0

Rewriting the first three terms as the square of a binomial, we ge:

(x + 3)^2 - 9 + 15 = 0, which simplifies to:

(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6

Taking the square root of both sides:

x + 3 = ±i√6

Then the two roots are complex:

x = -3 + i√6 and x = -3 - i√6

Answer:

  ∠B ≈ 50.9°

Step-by-step explanation:

The area formula for a triangle can be used to find the missing angle.

We don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).

  Q = (1/2)ac·sin(B)

Solving for B, we have ...

  2Q/(ac) = sin(B)

  B = arcsin(2Q/(ac)

  B = arcsin(2(64)/(11(15)) = arcsin(128/165)

  ∠B ≈ 50.9°

Answer:

v = 2

Explanation:

8(2 − 6v) + 19 = −61

[ Simplify both sides of the equation ]

8(2 − 6v) + 19 = −61

(8)(2) + (8)(−6v) + 19 = −61 (Distribute)

16 + −48v + 19 = −61

(−48v) + (16 + 19) = −61 (Combine Like Terms)

−48v + 35 = −61

−48v + 35 = −61

[ Subtract 35 from both sides ]

−48v + 35 − 35 = −61 − 35

−48v = −96

[ Divide both sides by -48 ]

−48v / -48 = −96 / -48

v = 2

- PNW

Answer: 3xy2 and 8xy2

-3x2 and 1/2x2

X2y and 5x2y

Answer:

look it up on tiger algerbra

Step-by-step explanation:

Answer:

3 TIMES 2 DONT EQUAL 7

Step-by-step explanation:

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

Answer:

Y-3/5x+2

Step-by-step explanation:

Answer:

I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.

Step-by-step explanation:

Answer:

what do you mean lol im slow haha

Answer:

In order to solve we need to know what the equation  is.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Domain (and range) don't necessarily have to be in smallest to largest order unless your teacher requires it, so don't worry about the order.

Let's remind ourselves that the domain is the input value, or the x value, and y is the output value, or the y value. We know that in an ordered pair, the first # is x and the second # is y (because x comes before y in the alphabet). Lets look at our ordered pairs and see what the x values are.

{(8, -2), (4, -2), (-3, 2), (-5, -3)}

The x values are 8, 4, -3, and -5, therefore:

Domain: {8,4,-3,-5}

Range would equal all the y values. Remind yourself that if an x value is repeated to only write it down ONCE.

Remember, the order does not matter, so the answer would be C.

Hope this helped!

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

Answer:

I don't understand make is more simplify