A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges. A diagram of the unfolded box is provided in figure, the shaded region represents the area
that was cut from the corners of the box. What is the largest volume of such a box?

Answer:

y=mx+b

Step-by-step explanation:

the equation would be y= 3/4 + 3

the rise is 3

the run is 4

the line runs through 3 on the y intercept.

Answer:T = 2*Pi / (Pi / 3) = 6 seconds

Step-by-step explanation:

The time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

Trigonometric functions are periodic. They repeat their values after some specific constant input interval (constant depends on the trigonometric function chosen).

For sine function, its period is 2π

Thus, we get:

[tex]y = \sin(x) = \sin(x+2\pi) = \sin(x + 2\pi n) ; n \in \mathbb Z[/tex] integer, and y is some constant at some constant value of x)

For this case, the pendulum's motion is modeled by:

[tex]P(t) = -10\sin\left(\dfrac{\pi}{3} t\right)[/tex]

Let it takes 'd' seconds to do one full cycle, then we get:

[tex]P(t) = P(t+d) = P(t+2d) = P(t + nd); n \in \mathbb Z - \mathbb Z^{-}[/tex] (n is non-negative integer).

Using the formula, we get:
[tex]-10\sin\left(\dfrac{\pi}{3} t\right) = -10\sin\left(\dfrac{\pi}{3} (t + nd)\right)\\\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t + \dfrac{\pi}{3}nd\right)[/tex]

But we know that:

[tex]\sin\left(\dfrac{\pi}{3} t\right) =\sin\left(\dfrac{\pi}{3}t +2\pi n\right)[/tex]

Thus, we get:

[tex]2\pi n = \dfrac{\pi}{3}nd\\[/tex] (compared for non-negative values of n)

This gives:

[tex]d = \dfrac{2\pi n \times 3}{\pi n} = 6[/tex] (in seconds)

Thus, the time (in seconds) that it take the pendulum to complete one full cycle is given by: Option C: 6 (seconds)

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The difference between the flat fees of the two companies is $20

Answer:

What image? (9/ -0) Is 9 - 8 =1

Step-by-step explanation:

Answer:

you dont have the image of the graph.

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

Use the law of cosines

[tex]d^{2} = e^{2} + f^{2} -2ef cos D[/tex]

[tex]d^{2} = 9^{2} + 13^{2} - 2(9)(13) cos 41\\ = 81 + 169 - 176.602\\ = 73.3979\\d = \sqrt{73.3979} = 8.6[/tex]

Answer:

I think Rose isn't correct.

Answer:

Rosa is incorrect because if we substitute b, for the number 4. The answer is not equal to 10.

Step-by-step explanation:

(3+9b)-2b=10

(3+9*4)-2*4=10

(3+36)-8=10

39-8=10

31=10

It is incorrect because the numbers are not the same.

12 books divided by 8 months = 1.5 books per month

hope it helps:))

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

Answer:

The function is;

f(x) = $3,250

Step-by-step explanation:

The fixed amount the consultant receives each month = $3,250

The number of hours the consultant works each month = x

Let f(x) represent the function of the total amount the consultant receives each month

Therefore;

The function f(x) = The total amount the consultant receives each month = The fixed amount the consultant receives = $3,250

∴ f(x) = $3,250.

The function 'f' which represents the total amount the consultant receives each month is f(x) = $3,250 (Given that the consultant receives a constant amount each month).

Answer:

She can make :

5 3/5 pies

Algebraic equation =

1 1/4 p = (9 - 2)

Step-by-step explanation:

Clara has 9 pounds of apples. If she saves 2 pounds for applesauce, how many pies, p, can she make?

Total number of pounds of apples = 9 pounds

She saves 2 pounds for apple sauce

The number of pounds of apples left =

9 pounds - 2 pounds

= 7 pounds

She needs 1 1/4 pounds to make one apple pie.

Therefore

1 1/4 pounds = 1 apple pie

7 pounds = p

Cross Multiply

1 1/4 × p = 7 × 1

p = 7 ÷ 1 1/4

p = 7 ÷ 5/4

p = 7 × 4/5

p = 28/5

p = 5 3/5 pies

An Algebraic equation for this situation is:

1 1/4 p = (9 - 2)

Where p = Number of pies

Hi there!

Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.

Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.

And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a [tex]\sqrt{2\\}[/tex] right next to it. So your answer will be:

[tex]5\sqrt{2}[/tex]

I hope this helps! :)

Answer:

164.93 I believe is the answer

Answer:

bro what is even happening here

so confused but okay

Answer:

∠ LHJ = 10°

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180°

Then

∠ KLH + ∠ LHJ = 180°

170° + ∠ LHJ = 180° ( subtract 170° from both sides )

∠ LHJ = 10°

Answer:

y = 2

Step-by-step explanation:

The way you solve this is you transform it until one side of the equation is just "y"

3y + 2 = 8   ;    subtract 2 from both sides

3y = 6   ;     divide both sides by 3

y = 2

Answer:

22

Step-by-step explanation:

double negative is a plus sign

13--9=22

Answer: 22

Step-by-step explanation:

Here, we need to know the concept of changing signs. Under any circumstances, if there is a "-" sign outside of parenthesis, the signs inside need to be the opposite. If you are still not very clear, I can provide some examples below:

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

Given

13 - (-9)

⇒There is a "-" sign outside

⇒We need to convert the sign inside "-" to "+"

⇒13+9

⇒22

Hope this helps!! :)

Please let me know if you have any questions

The volume of water pouring from Victoria Falls is enough to fill an Olympic swimming pool in around 2.03 seconds.

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

To find out how many seconds it will take to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls, we need to divide the total amount of water in the pool by the amount of water falling per second:

660,000 gallons ÷ 325,000 gallons/second ≈ 2.03 seconds

Therefore, it would take approximately 2.03 seconds to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls.

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Step-by-step explanation:

the rate of change in A

10-5/4.5-3 .5

=5.

but where is the function B??

just pick two y values and it's corresponding x values

the rate of change is equal to the gradient .

change in y values divided by change in the x values.

Answer:

b) 2 was not multiplied by 5

Step-by-step explanation:

Correct answer: 2x + 10

Answer:

2nd and 5th one are correct. Rest of them r wrong

Step-by-step explanation:

Answer:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

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Answer:

never, never, sometime, sometimes, and always.

Step-by-step explanation:

I'm smart lol

Answer:

7.36e+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

           = [tex]\frac{x}{d}[/tex]

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;

d = [tex]\frac{10}{0.5774}[/tex]

  = 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

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Answer:30000 just 5000+  six time

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

Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2