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Answer:

40 feet.

Step-by-step explanation:

The height of the Ferris Wheel is modeled by:

[tex]\displaystyle H(t)=-16\cos\Big(\frac{t}{45}\Big)+24[/tex]

Where H(t) is the height (in feet (assuming)) and t is the time in seconds.

Remember that the value of cosine, regardless of the input, will always be between -1 and 1. That is:

[tex]-1\leq \cos(t)\leq 1[/tex]

So, we can use the two maximums. Testing -1 and 1, we get:

[tex]H(t)=-16(1)+24=8[/tex]

And:

[tex]H(t)=-16(-1)+24=40[/tex]

Therefore, the maximum height of a cabin of the Ferris Wheel will be 40 feet in the air.

Notes:

And the minimum height will be 8 feet.

We are not asked to find t. To do so, however, set H(t) = 40 and find the general solution for t.

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

Answer:

assuming this is a rectangle:

VW=31

WX=19

YW=36.36

ZX=18.18

VX=36.36

Step-by-step explanation:

VW=VX

VW=31

WX=VX

WX=19

YW^2=19^2+31^2

YW^2=361+961

YW^2=1322

YW=36.36

ZX=1/2VX

ZX=18.18

VX=YW

VX=36.36

The measures of the rectangle are

a) The measure of VW = 31

b) The measure of WX = 19

c) The measure of YW = 36.36

d) The measure of ZX = 18.18

e) The measure of VZ = 18.18

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as VWXY

Now , the diagonals of the rectangle are VX and WY

Substituting the values in the equation , we get

The measure of VY = 19

The measure of XY = 31

Now , for a rectangle the opposite sides are congruent

So , the measure of VY = measure of WX

And , the measure of XY = measure of VW

On simplifying the equation , we get

The measure of WX = 19

The measure of VW = 31

And , the diagonal of the rectangle = √ ( Length )² + ( Width )²

Substituting the values in the equation , we get

The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²

The diagonal of the rectangle YW = √ ( 961 + 361 )

The diagonal of the rectangle YW = 36.359 ≈ 36.36

And , the measure of VX = measure of YW = 36.36

Now , the measure of ZX = measure of VZ = measure of VX / 2

So , the measure of ZX and VZ = 36.36 / 2 = 18.18

Hence , the diagonal of the rectangles is 36.36

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Answer:

2(3x-2) is the answer

The factors of the expression 6x + 4 will be 2 and (3x + 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given as,

⇒ 6x + 4

Factorize the expression, then we have

⇒ 6x + 4

⇒ 2(3x + 2)

The factors of the expression 6x + 4 will be 2 and (3x + 2).

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Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

Answer:

yes

Step-by-step explanation:

Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.

Step-by-step explanation:

(2.3)^2 +5^2= ?

=6^2 +5^2

= 61

Answer:

THXSSSS UUUU SWOOOO MUCHHHHHHH

Step-by-step explanation:

Answer:

[tex]P(E) = 26 \%[/tex]

Step-by-step explanation:

Given

[tex]P(F) = 46\%[/tex]

[tex]P(E\ and\ F) = 10\%[/tex]

[tex]P(E\ or\ F) = 62\%[/tex]

Required

Find P(E)

In probability:

[tex]P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)[/tex]

Substitute the right values

[tex]10\% = P(E) + 46\% - 62\%[/tex]

[tex]10\% = P(E) -16 \%[/tex]

Collect Like Terms

[tex]P(E) = 10\% +16 \%[/tex]

[tex]P(E) = 26 \%[/tex]

It is a probability because all probabilities are within the range 0 to 100%

Answer:

The answer is D

Step-by-step explanation:

If you add them all, and divide them it wouldn’t get 14.5

Answer:

No, the mean should be higher.

Step-by-step explanation:

Have a good day :)

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

Answer:

$24000

Step-by-step explanation:

so we can make an algebraic equation with these values

21000=7/8x

divide both sides by 7

3000=1/8x

multiply both sides by 8

x=24000

Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Answer:

Hope it helps

Have a good day

Answer:

3780 bolts will be made by 8pm

Step-by-step explanation:

One Hour : 500 nuts or 840 bolts

Divide by 2

30 minutes : 250 nuts or 420 bolts

750 nuts : 500 + 250 = 750

so the machine took 1 hour and 30minutes

14:00 it started (2pm)

15:30 it switched to bolts

20:00 (8pm)

4 hours and 30minutes to get to 8pm

840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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Answer: C.

Step-by-step explanation:

The answer is C. i believe

You have to subtract 2 by 7x = 33    

I hope this helps!

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

bro if im wrong blame me-- but yeah

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

Answer: The total boats in the marina are 105.

Step-by-step explanation:

Let the total number of boats in the marina = x

Given : Number of white boats in the marina = [tex]\frac{2}{3}x[/tex]

Number of blue boats in the marina = [tex]\frac{4}{7}\times (x-\frac{2x}{3})=\frac{4}{7}\times \frac{x}{3}=\frac{4x}{21}[/tex]

Number of red boats in the marina = [tex]x-\frac{2x}{3}-\frac{4x}{21}=\frac{3x}{21}[/tex]

Given : Number of red boats in the marina = 15

[tex]\frac{3}{21}\times x=15[/tex]

[tex]x=105[/tex]

Thus total boats in the marina are 105.

By working with fractions and proportions, we will see that there are 105 boats in the marina.

Let's say that there are N boats in the marina, we know that:

2/3 of these are white, then the proportion of boats that are not white is:

1 - 2/3 = 3/3 - 2/3 = 1/3.

Of these, 4/7 are blue, then the proportion of red ones is:

1 - 4/7 = 7/7 - 4/7 = 3/7

The total proportion of red boats is:

(3/7)*(1/3) = 1/7

And we know that there are 15 red boats, this means that:

(1/7)*N = 15

Solving for N we get:

N = 7*15 = 105

So there are 105 boats in the marina.

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Hey there! Your answer to this problem is 2160..

Explanantion:

Since every car Sara sells, she gets 9% of the commission, this means that at the last few step, we would have to give 9% of the total cost to Sara.

If 100% is 20,000, then 50% would be 10,000. But we have to find the cost of 20%. So what we would actually be doing is multiplying 20 with 0.01. 20x0.01 is 0.2 or 0.20.

Then you add the 4,000 to the 20,000 because it states, “the next day, they sold the car 20% more than they paid. This means that you’ll have to add it. 20,000 plus 4000 would be 24,000. So 24,000 would be the cost of the car they sold.

However they didn’t wanna know the cost of the car, they wanted to know how much Sara would get. So you would have to take 9% of the cost of the cost which would be 2,160.

Final result: $2,160

Answer:

The area of this trapezoid is 8cm

Answer:

130

Step-by-step explanation:

first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,

112 + 9 + 9 = 130

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

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Answer:

13 1/2 is your answer.

Step-by-step explanation:

With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Saul can cut 4 lawns in 6 hours.

The ratio of hours to lawns will be as,

6/4

Suppose the time taken to mow 9 lawns to Mitch is x hours.

The ratio of hours to lawns will be as

x/9

Since the rate is the same thus ratio must be the same.

x/9 =  6/4

x = 6/4 x 9

x = 13.5 = 13 + 1/2

Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".

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Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

Answer:

50%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

look at where the line perfectly goes through a point on the table, ie (60,20) or (70,50), and count up each unit until you see it is aligned with another point that perfectly crosses through. then see how many units left or right you need to go to reach that point. on this graph you go up 3 units and to the right 1 unit, 3/1=3. the slope is 3