What is the volumen , in cube centimeters, if a cube with a side length, s, of 0.2cm?

a) From the Pythagorean theorem, we have

AC² = AB² + BC² = a² + a²   ⇒   AC = √2 a

and

AK² = AB² + BK² = a² + (2a)²   ⇒   AK = √5 a

ABCD and BKLC are perpendicular, so AC and CL are perpendicular and ∆ACL is a right triangle. By the Pythagorean theorem, we have

AL² = AC² + CL² = (√2 a)² + (2a)²   ⇒   AL = √6 a

Now,

AK² + LK² = (√5 a)² + a² = 6a² = (√6 a)² = AL²

which means ∆AKL satisfies the Pythagorean theorem and is a right triangle, so ∠AKL = 90°.

b) We know AC = √2 a and AK = √5 a. By the Pythagorean theorem, we find

CK² = BC² + BK² = a² + (2a)²   ⇒   CK = √5 a

By the law of cosines, we have

AK² = AC² + CK² - 2 AC CK cos(∠AKC)

6a² = 2a² + 5a² - 2√10 a² cos(∠AKC)

cos(∠AKC) = 1/(2√10)

∠AKC = arccos(1/(2√10)) ≈ 80.9°

Answer:

below

Step-by-step explanation:

2/3=240

3/4=270

2/6=120

5/8=225

Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

Answer: A scale in charts can be characterized as the system of marks at settled intervals, which characterize the connection between the units being utilized and their representation on the graph.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3x10=30

divided by 6

=3

+2=5

-4=1

Answer:

3

Step-by-step explanation:

3x10=30

30/6=5

5+2=7

7-4=3

Answer:

Step-by-step explanation:

1/3 of 12 = 2/3 of ?

1/3 of 12 =

(12 : 3) =

4

4 * 2 = 8

8 + 4 =

12

Answer:

400

83 000 000

600,000

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

483,600,000 miles

Answer:

A)

Step-by-step explanation:Quadratics

[tex] \huge \tt \color{cyan}{➢}\color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\color{cyan}{➢}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\: solve }}}[/tex]

[tex] \purple{ \sf{⇒Given \:function}}[/tex]

⇒ y = -2(x-5)²-4

⇒y = -2(x²-10x+25)-4

⇒ y= -2x²+20x-50-4

⇒ y= -2x²+20x-54

Hence option A (-2x²+20x-54) is right ans.....

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \red{ \underline{\underline{ \boxed{ \tt{✰ \: Option \: A \: ✓}}}}}[/tex]

Hope it helps !

Answer:

84 products

Step-by-step explanation:

The conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have the statement:

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and 15% answered “Yes.”

The given conclusions:

There is no particular information given about who likes to eat broccoli, but based on the conclusion and statement, we can say:

15% of all students on the baseball team at Ridgemont High like broccoli.

Thus, the conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

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Answer:

You are right in that this function is not an odd function. For it to be odd it has to be symmetrical about the origin or equivalently -f(x) = f(-x) which is not the case here.

I can see an option button next to the graph so I assume that this is only one of the answer choices.

Can you provide the source of this question?

Step-by-step explanation:

Answer:

So our goal is to determine the cost per can which we can find by dividing the amount of cans from the cost of the cans.  That would give us the price per can.

[tex]\frac{price}{cans}[/tex]

[tex]\frac{\$6.30}{12\ cans}[/tex]

[tex]\$0.525\ per\ can[/tex]

Hope this helps!  Please let me know if you have any questions

isolate for y:

[tex]16=4y\\\\\frac{16}{4}=\frac{4y}{4} \\\\4=y[/tex]

The value of y is 4.

Answer:

7 watermelons were in each row.

Answer:

Step-by-step explanation:

Discussion

You have to rearrange the equation so that y is all by itself on the left and it must be positive. Stay tuned to get the rest of the rule.

x - y = 3                       Multiply the whole equation by -1

-1(x - y = 3)                   Remove the brackets. This gets y to be +

-x + y = - 3                   Add x to both sides of the equation.

-x+x + y = -3 + x           Combine the left. Notice the x's disappear on the left

y = - 3 + x

Now for the rest of the rule. The number in front of the x is the slope. But, you say, there is no number. Well there is. It's 1.

Answer

The slope of the line is 1.

The triangle in the image seems to be an isosceles triangle which means that two of the angles would be the same.

x would be 54° as well

to find the third angle, subtract all the angles from 180

[tex]180-54-54=72[/tex]

y would be 72°

The probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Luna rolls two number cubes labeled 1-6.

Total number of outcomes = 6×6 = 36

Total number of favorable outcomes = 4

Which is (1, 4), (2,3) (3,2), (4,1)

The probability will be:

= 4/36

= 1/9  or in percentage:

= 11.12%

Thus, the probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

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Answer:

60

Step-by-step explanation:

The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).

Let's set up an equation with the information we have.

30 = (10 + 20 + x) / 3

Now we can multiply both sides by 3 ==>

90 = 10 + 20 + x

Combine like terms ==>

90 = 30 + x

Subtract 30 from each side ==>

60 = x

And now you have your answer!

The value of x = 60 would make the mean of the data set 30.

For A it is 6240 / 20% for B it is 6240 x 15%

Answer: A. .20x640=128

                   128+640=768

B. .15x640=96

     640-96

Step-by-step explanation:

Answer:

Step-by-step ef(x)=-2x+5……i

and f(-3x)=?

let x=-3x so that

-2x+5=-3x

x=5

substitutinx x into… i

f(x)=-10+5=-5

f(5)=-5………ii

now f(–3x)=f(-15)

scrutinizing… ii ,we can propose that

f(-15)=15.

Thus f(-3x)=15xplanation:

f times x would equal to fx=2x+5 and i think we move the x move to the other side which makes it f=3x+5 and then we plug this equal into f(3x) (i think)  which makes it f(3x+f=3x+5)

Answer:

1

c

2

h

Step-by-step explanation:

1

For the first question, the mean is calculated by adding all the items together and dividing it by the amount of them.

In this case, we add 32000 to 4600 to create 36600, this is the cost for 6 cars. To find the mean, we divide by 6. 36600 divided by 6 is 6100

2

We are looking for the original fee of 50 on its own, alongside 10 lots of 25.

The only version that correctly represents this is 50 + 25(10)

Answer:

the game is fair because the probability of winning is equal to 50%

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

45.8 m^2

Step-by-step explanation:

area = π x 3.82^2

area ≈ 45.8

hope this helps

have a good day

Answer:

B.

Step-by-step explanation:

Answer:

Statements B and E are true.

Step-by-step explanation:

B is true

E is true

Answer:

y = 4x + 3

Step-by-step explanation:

We are given the line shown in your question.

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1).

First, we need to find the slope of the line

The slope (m) can be found using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points to avoid confusion and mistakes before calculating.

[tex]x_1= 0\\y_1=3\\x_2=-1\\y_2=-1[/tex]

Now substitute these values into the equation for the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-1-3}{-1-0}[/tex]

Subtract

m=[tex]\frac{-4}{-1}[/tex]

Divide

m = 4

The slope of the line is 4

Here is the equation of the line so far:

y = 4x + b

Now we need to find b

As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0

One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3

Substitute 3 as b in our equation

y = 4x + 3

Topic: finding the equation of the line

In the above scenario, for question 1 and 2, we can say that relationship does depict or appear to be fairly strong and also linear as the points on the graph doesn't move far from a line.

Other answers are:

The  Interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will  bring or add about $11.15 to the bill above.

 The variability can be shown or explained by the differences that is seen in what the parties in the graph has ordered to eat or drink.

Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50  is known to be less than the predicted amount.

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