If 2a+2/a=4, what is the value of 2a^2+2/a^2

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

[tex]\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}[/tex]

                            [tex]= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m[/tex]

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

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Answer:

4021.76

Step-by-step explanation:

v= πr^2h

3.142x8×8×20

Answer:

(-3,8)

step by step explanation:

y=-4/3 +4

x=-3

put in x value in first Problem

y=-4/3(-3) +4

solve

y= 12/3+4

y=4+4

y=8

we already know what x is so

x= -3, y=8

(-3,8)

hope this helps

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

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Answer:

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

Step-by-step explanation:

The domain is the set of first numbers of the ordered pairs. The range is the set of second numbers. We generally like to have the elements of a set arranged in order, with duplicates eliminated.

  domain = {-8, -6, 8}

  range = {-4, -1, 0, 8}

The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.

Given the following:

Plug in the values into the volume formula:

1/18π = 1/3π(1/3)²h

1/18π = 1/3π(1/9)h

1/18π = (πh)/27

Divide both sides by π

1/18 = h/27

Cross multiply

27 = 18h

27/18 = h

h = 1.5

Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

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Answer:

Step-by-step explanation:

Answer:

x = 1, y = -1, and z = 2

Step-by-step explanation:

[tex]y = 5x \\ y = 9x + 4 \\substitute \:y = 5x \: to \: the \: other \: equation \\ y = 9x + 4 \\5x = 9x + 4 \\ 5x - 9x = 4 \\ - 4x = 4 \\ x = \frac{4}{ - 4} \\ x = - 1[/tex]

Answer:

12 miles

Step-by-step explanation:

There are 3 hours = 180 minutes

180÷30=6

6×2=12

Hope that helps!

Answer:

12 miles

Step-by-step explanation:

The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.

An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.

The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.

55 + 55 + a = 180

Recall the sum of angle in a triangle is 180 degrees.

110 + a = 180

subtract 110 from both sides

110 - 110 + a = 180 - 110

a = 70 degrees

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The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

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Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]

[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.

[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.

[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]

[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram

[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here,

[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here,

Answer: pretty sure the answer is D

Step-by-step explanation:

Answer:

17.8

Step-by-step explanation:

The power ands the square root cancel out.

The logo that meets the building requirement must be:

A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.

They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.

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Answer: 4 cups

Step-by-step explanation:

First, convert the 6 cups of water to fluid ounces:

6 cups (8 fluid ounces / 1 cup) = 48 fluid ounces.

Then, since each bowl took 4 fluid ounces, and there are 4 bowls, the total fluid ounces used must be 16.

Thus, if there was 48, and 16 were used, 32 fluid ounces must be left. Convert this to cups by dividing by 8 and getting 4 cups.

The new value of the stock after the percentage decrease and increase is  $3666.60.

Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.

Value of the stock after the decrease = (100 - 3) x $3500 = $3395

alue of the stock after the increase = (100 + 8) x 3395 = $3666.60

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Answer: Area of square = a*a(where a is length of one side) Putting value a x a=625 cm2 a= 25 Perimeter will be 4 x a 4 x 25 = 100 cm

Step-by-step explanation:

[tex]\sf\huge\underline{Given:-}[/tex]

Area of the square field [tex]\sf{= 625 m^2}[/tex]

[tex]\sf\huge\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Perimeter of the square garden.

[tex]\sf\huge\underline{Formula \:Used:-}[/tex]

Area of square [tex]\sf{= side^2}[/tex]

Perimeter of square [tex]\sf{= 4×side}[/tex]

[tex]\sf\huge\underline{Solution:-}[/tex]

As we know,

[tex]\rightarrow[/tex] Area of square [tex]\sf{= side^2}[/tex](putting the given value of area)

[tex]\rightarrow[/tex] [tex]\sf{Side^2}[/tex] [tex]\sf{= 625}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{Side}[/tex][tex]\sf{= \sqrt{625}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{Side}[/tex][tex]\sf{= 25cm}[/tex]

So, From here we got the side of the square garden that is, 25cm.

Now,

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 4×side}[/tex](Putting the value of side)

[tex]\rightarrow[/tex] Perimeter of square [tex]\sf{= 4×25}[/tex]

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 100cm}[/tex]

Therefore, perimeter of the square garden = 100cm.

Check the picture below.

Make sure your calculator is in Degree mode.

The number of days Ashley ate Mexican food while on vacation is 20 days.

The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7

4/7.

The second step is to multiply 4/7 by 35

4/7 x 35= 20 days

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Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

[tex]v = u + a×t [/tex](a = acceleration)

➾ [tex]a = {\frac{u-v}{t}}[/tex]

[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)

➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]

➾ [tex]a = {\frac{1.9}{11}}[/tex]

➾ [tex]a = 0.17 m/s (approx.)[/tex]

Therefore, the acceleration rate = 0.17m/s.

Answer:

$22.44

Step-by-step explanation:

        We can multiply the total number of watering cans being bought by the total cost of one watering can.

3 * 7.48 = 22.44

                       It will cost $22.44 to buy three watering cans.

The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]

Given the following data:

Diameter = 10 inches.

Height = 6 inches.

Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]

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The age of the car that Devon purchased is given by: Option C: 5 years

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.

For this case, there is decrement happening, so rate can be taken negative. Thus, we take:

R = -35%

Let the car is T years old.

Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:

[tex]A = P(1 +\dfrac{R}{100})^T\\\\2000 = 16000(1 + (-35/100) )^T\\1/8 = (1-0.35)^T\\0.125 = 0.65^T\\\\T = log_{0.65}(0.125)\\T \approx 4.827 \approx 5 \text{ (in years) }[/tex]

Thus, the age of the car that Devon purchased is given by: Option C: 5 years

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Answer:

C 5 years

Step-by-step explanation:

Answer:

you can solve by using the formula

volume = length x width x height

(I'm also bad at math so sorry if this isn't very helpful)

Step-by-step explanation:

1 all the bases are the same which means your length and width should be 5m

2 just multiply 5 x 5 x 14.2 and that should give you the awnser

Answer:

Hence corre ctophon is (A)

Answer:

$9,600

Step-by-step explanation:

notebook computer : $300

laptop computer : $350

18 x 300 = 5,400

12 x 350 = 4,200

4,200 + 5,400 = 9,600

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

the same applies to all other basic operations (like addition, multiplication, ...).

so,

(f-g)(x) = 4x² - 3 - (x + 1) = 4x² - 3 - x - 1 = 4x² - x - 4