Find the greatest common factor of $144$ and $405$.

Answer:

[tex]13^{\circ}[/tex]

Step-by-step explanation:

Consider the smaller of the two triangles with angle [tex]x[/tex].

Using vertically opposite angles, one of the angles of this triangle is [tex]85^{\circ}[/tex].

Using corresponding angles combined with angles on a straight line, one of the angles is [tex]82^{\circ}[/tex].

Angles in a triangle add to [tex]180^{\circ}[/tex], so [tex]x=13[/tex].

Curved surface area of frustum is 1000.82 cm² and

Volume of frustum is 2756.754 cm³.

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum.

Frustum is a Latin word which means ‘piece cut off’. When a solid (generally a cone or a pyramid) is cut in such a manner that base of the solid and the plane cutting the solid are parallel to each other, part of solid which remains between the parallel cutting plane and the base is known as frustum of that solid.

Height of frustum = h = 30 cm

Diameter of top of frustum = 6 cm

Radius of top = R = 6/2 = 3cm

Diameter of bottom of frustum = 15 cm

Radius of bottom = r = 15/2 = 7.5 cm

Slant Height = l = √h²+ (r - R)²

                       ⇒ l = √30² + (7.5 - 3)²

                       ⇒ l = √900 + 20.25 = √920.25 = 30.34 cm

A) Curved surface area of frustum = π(r + R)l

                                                         = 3.1416 × (7.5+3) × 30.34

                                                         = 3.1416 × (10.5) × 30.34

Curved surface area of frustum = 1000.82 cm²

B) Volume of frustum = (πh/3)(r²+R²+r.R)

                                   = (3.1416 × 30/3)(7.5² + 3² + 7.5×3)

                                   = (31.416) × (56.25 + 9 + 22.5)

                                   = 31.416 × 87.75

Volume of frustum = 2756.754 cm³

Hence, the curved surface area and volume of given conical frustum are 1000.82 cm² and  2756.754 cm³ respectively.

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Answer:

Bank A

Step-by-step explanation:

Get them wrong then push try agian and remember it hope it helps?

thats my trick sometimes!

Answer:

It's A 100% I got it right!!

Step-by-step explanation:

Answer:

x = 156

Step-by-step explanation:

Yes.  The comment was correct.

The central angle and the Arc measurement are the same amount (in degrees)

So The entire circle is 360 degrees.

Answer = 360 - the two central angles.

Answer = 360 - 65 - 139

Answer = 360 - 204

Answer = 156

Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24

A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.

To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.

So to find out the fraction of a whole pizza  that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,

3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24

Now to equally divide this into 5 person, we need to divide this fraction by 5,

i.e 55/(24*5) = 11/24

Therefore, each person gets 11/24 of the whole pizza.

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The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.

To work out the temperature at the summit of Ben Nevis, we can use the formula:

Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres

We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.

So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C

Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C

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Answer:

3 feet

Step-by-step explanation:

Volume of a rectangular object = length x width x height

360 = 8 x 15 x height

360 = 120 x height

height = 360 / 120

height = 3ft

Answer:

k = -7

Step-by-step explanation:

Let's put the side with the variables on the left.

-k+16-2k-9=28

Now we need to isolate the variable, which is k in this case.

-k+16-2k-9=28

-k-2k+16-9=28

-3k+7=28

(-3k+5) -7 = 28 -7

-3k = 21

k = -21/3

That's your answer:

k = -7

You can differentiate best time, worst time and average time of an algorithm like this:

Best time = fastest completion time with optimal inputs.

Worst time = slowest completion time, with pessimistic inputs.

Average time = arithmetic mean

The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.

There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.

Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.

Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.

What is average case complexity

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Answer:

18n+9

Step-by-step explanation:

9 times 2n is 18n.

9 times 1 is 9.

There's your answer.

Answer:

[tex]\huge\boxed{\bold{18n+9}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression!

All we should do is "distribute" 9:

[tex]\bold{9(2n+1)}[/tex]

[tex]\bold{18n+9}[/tex]

Hope it helps!

[tex]\rm{Have~A~nice~day![/tex]

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever}[/tex]

Answer:

1. Below 2. B. d = 8h

Step-by-step explanation:

The graph is a bit confusing. But basically, substitute x for the numbers they give you.

5x

5 · 1 = 5 = y

5 · 2 = 10 = y

5 · 3 = 15 = y

5 · 4 = 20 = y

7x

7 · 1 = 7 = y

7 · 2 = 14 = y

7 · 3 = 21 = y

7 · 4 = 28 = y

Answer:

okay just follow everything under here!

Step-by-step explanation:

so y = 5x right? so on the chart, it goes from 1-4. x is those numbers. so in the second column, you see 5x. so you would multiply 5 x __ whatever the number is. so this would be column 2.

5x1

5x2

5x3

5x4

and then the second column is 5, 10, 15, 20

then you do the same thing with the second one.

7x1

7x2

7x3

7x4

then Y would be 7, 14, 21, 28

then number 3, it would be B. 8h = d

8 x h (hours) = 8h  which would = d (amount made)

i hope this helped! good luck!

Answer:

subtraction because 10 - 2 = 8

Step-by-step explanation:

oml i used to have that cat btw and then my school blocked it </3

Answer:

C

Step-by-step explanation:

Answer:

820 [tex]m^{2}[/tex]

Step-by-step explanation:

Answer: 8-4+5

Step-by-step explanation: Best I could do

Answer:

[tex] \sf \: (-3) × {( - 3)}^{2} = - 27[/tex]

Step-by-step explanation:

Given expression,

→ (-3) × (-3)²

Let's simplify the expression,

→ (-3) × (-3)²

→ (-3) × ((-3) × (-3))

→ (-3) × 9

→ (-3 × 9) = -27

Hence, the answer is -27.

Answer:

[tex]x=-2,1[/tex]

Step-by-step explanation:

[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]

Answer:

x=6°

Step-by-step explanation:

The value of x is 6°.

Answer:

nice to see you again

Step-by-step explanation:

14.) 20

15) 16

16) true

Answer:

20, 16, true

Step-by-step explanation:

The input is the number of rides, or the x-coordinate. The output is the dollars remaining on card, or the y-coordinate. We know this because the number of rides dictates how much money is on the card.

14. The question is asking for the output when the input is ten. Thus, we need to find the y-coordinate on the line when the x-coordinate is 10. We see that (10,20) is on the line, so then our output (or y-coordinate) is 20.

15. The question is asking for the input when the output is five. Thus, we need to find the x-coordinate on the line when the y-coordinate is 5. We see that (16,5) is on the line, so then our input (or x-coordinate) is 16.  

16. 7 rides is the x-coordinate, and 27.50 is the cost, or the y-coordinate. However, this is true because even though the y-coordinate is NOT the cost of the rides, but the amount of money remaining on the card AFTER the rides are cashed in, 27.50 is half of 45 dollars, so then if 27.50 is spent on the rides, there will still be 27.50 left over on the card. Thus, it is true.

If the freight elevator lifts goods the same height in 2 minutes and 30 seconds, it will travel at a pace of 6.4 feet per second.

Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The sign for speed is v (italic), whereas the symbol for velocity is v. (boldface). A bar is placed over the symbol to represent average values. Speed is defined as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time. As a result, the SI unit of speed is the metre per second.

Here,

Given that a passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:

=960/1.5

=640 ft/min

If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:

=640/2.5

=384 ft/min

=384/60

=6.4 ft/second

The freight elevator be traveling at the speed of 6.4 ft/second if it lifts cargo the same height but in 2 minutes and 30 seconds.

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Answer:

16,126 ft

Step-by-step explanation:

Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft  and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,

s(15) - s(0) = ∫₀¹⁵f(t)dt

s(15) - s(0) = ∫₀¹⁵[[tex]e^{0.4t} + 8[/tex]]dt

s(15) - 15000 = [[tex]\frac{e^{0.4t}}{0.4} + 8t[/tex]]₀¹⁵

s(15)  - 15,000 ft = [tex]\frac{e^{0.4X15}}{0.4} + 8X15 - \frac{e^{0.4 X 0}}{0.4} + 8(0)\\\frac{e^{6}}{0.4} + 120 - \frac{e^{0}}{0.4} + 0\\\frac{403.43}{0.4} + 120 - \frac{1}{0.4} + 0\\1008.57 + 120 - 2.5\\1126.07[/tex]

s(15) = 15,000 ft + 1126.07 ft

s(15) = 16,126.07 ft

s(15) ≅ 16,126 ft to the nearest foot

Answer:

150

Step-by-step explanation

Answer:

-1, 0, 4

Step-by-step explanation:

2f - 8 ≤ 6f + 4

-4f ≤ 12

f ≥ 12/-4  **flip the inequality when you divide by a negative number

f≥ -3

Check all the answers that are ≥ -3

Answer:

The answer is A

Step-by-step explanation:

The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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