Given the triangle below, what is the length of the third side, rounded to the
nearest whole number?
B
18
A
12
620
Triangle not drawn to scale
A. 18
B. 14
C. 16
D. 20

Answer:

7.56

Step-by-step explanation:

Kevin should expect to pay approximately $7.56 for 18 juice boxes based on the given information.

To find out how much Kevin should expect to pay for 18 juice boxes based on the given information, we can set up a proportion using the number of juice boxes and the cost:

In general, an expression refers to a combination of symbols, numbers, variables, and operators that represent a specific computation or value. Expressions are a fundamental concept in mathematics, programming, and logic.

Let "x" be the cost of 18 juice boxes.

We have the proportion:

6 juice boxes / $2.52 = 18 juice boxes / x

To solve for "x," we can cross-multiply:

6x = 18 x $2.52

6x = $45.36

Now, divide both sides by 6 to isolate "x":

x = $45.36 / 6

x ≈ $7.56

Therefore, According to the data provided, Kevin should budget about $7.56 for 18 juice cartons.

To know more about an expression follow

https://brainly.com/question/18650549

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Answer:

The total number of ways to give the answer of the question is 16777216.

Step-by-step explanation:

Total number of questions = 24

The number of possibilities so that the answer is given is only 2. It is either true or false.

So, the total number of ways to complete the test is

[tex]2^{24} = 16777216[/tex]

========================================================

Work Shown:

C = 2*pi*r  ......... circumference of the circular base

r = C/(2pi)

r = (8.5)/(2pi)

r = 4.25/pi

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

V = pi*r^2*h ...... volume of the cone

V = pi*(4.25/pi)^2*15

V = pi*(18.0625/pi^2)*15

V = (18.0625*15)/pi

V = 270.9375/pi ..... exact volume in terms of pi

If we round that decimal number up top to the nearest hundredth, then we end up with V = 270.94/pi

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

https://youtu.be/JHQtA6R7fYc

https://youtu.be/LR6f23gY3qk

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Answer:

381 cm³

Step-by-step explanation:

Volume of the pot = volume of a cylinder

Volume of the pot = πr²h

Where,

π = 3.14

radius (r) = 4.5 cm

h = 6 cm

Substitute

Volume of the pot = 3.14*4.5²*6

Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)

9514 1404 393

Answer:

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Answer:

hat mather chosen to be mather

Answer:3/6 in simplest fraction form is 1/2.

Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out

Step-by-step

I hope it helps you

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

Answer:

-1/5

Step-by-step explanation:

g(x) = x/(x-3)

Substituting x = 1/2 in g(x),

g(1/2) = 1/2/(1/2-3)

= 1/2/(1/2-6/2)

= 1/2/(-5/2)

= 1/2 ÷ - 5/2

= 1/2 x -2/5

= - 1/5

Step-by-step explanation:

here is your answer

here is your answer

Answer:

See image below for answer:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The product of the slopes of  and the line perpendicular to  through C is -1 in all cases. So, I can conclude that any two perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step explanation:

its correct

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

y = 5x - 25 + 1

y = 5x - 24 = mx + c

Answer:

30 plus 70 equals 100

Step-by-step explanation:

it tells the gum explicit equation

Answer:

a. 11900, 15875

b. 0.2052, 0.2175

Step-by-step explanation:

number of engineers in 2018 = 10

calls handled in 2018 = 119000

average salary in 2018 = 58000

number of engineers in 2019 = 8

calls handled = 127000

salary = 73000

a.) operational productivity = output/input

in year 2018 = 119000/10= 11900

in year 2019 = 127000/8 = 15875

b.) ratio for both years = output/amount spent

in year 2018 = 119000/10*58000 = 0.2052

in year 2019 = 127000/8*73000 = 0.2175

Step-by-step explanation:

a=16

r=3

48/16=3

144/16=3

6th term

=ar^(n-1)

= 16(3)^(6-1)

=3888

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

[tex]y = \frac{3}{2}[/tex]

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

Answer: A. When something is exactly the same on one side as it is on the

other side

Step-by-step explanation: symmetry mean symmetrical: aka they look the same :) hope this helped!

Answer:

b+3 or 3+b

Step-by-step explanation:

Answer:

Below,

Step-by-step explanation:

The exponent part is done first

7 x 2^3

= 7 * 8

= 56.

You use the acronym PEMDAS:-

( E ( exponential) comes before  M (multiply))

Step-by-step explanation:

what are the given values of x ?

there is nothing visible.

and what is the function itself ? f(x) = 7x ?

it is not clear.

Answer:

a13 square root

..cv

..

..

Answer:

What’s the numbers? Or the question?

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.

z score is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.

a) 99.7% falls within three standard deviations. Therefore:

99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)

Therefore 99.7% falls within 12 ounce and 72 ounce.

b) For x > 26

[tex]z=\frac{26-42}{10}=-1.6\\[/tex]

For x < 66

[tex]z=\frac{66-42}{10}=2.4\\[/tex]

From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%

c) For x > 34

[tex]z=\frac{34-42}{10}=-0.8\\[/tex]

From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%

Answer:

Step-by-step explanation:

Given that:

Mean [tex]\mu[/tex] = 42

standard deviation [tex]\sigma[/tex] = 10

Using Empirical Rule:

[tex]\mu[/tex]  - [tex]\sigma[/tex] = 42 - 10 = 32                   [tex]\mu[/tex]  + [tex]\sigma[/tex] = 42 + 10 = 52                  

[tex]\mu[/tex]  - 2[tex]\sigma[/tex] = 42 - 2(10) = 22            [tex]\mu[/tex]  + 2[tex]\sigma[/tex] = 42 + 2(10) = 62         

[tex]\mu[/tex]  - 3[tex]\sigma[/tex] = 42 - 3(10) = 12             [tex]\mu[/tex]  + 3[tex]\sigma[/tex] = 42 + 3(10) = 72      

The curve is attached in the image below.

a). the widget of 99.7% lies between 12 and 72

b) 68 + 13.5 = 81.5%

c) 50 + 34 = 84%