suppose the radius of a circle is 8 units. what is its circumference​

y = 3x + 2

When you graph this line, it goes across every single point, so it is the line of best fit. See the attached graph.

Answer:

200ml of toothpaste for 50p

Step-by-step explanation:

200/50=4

and

400/90=4.4444444444444444 (4.45 rounded up)

So, you would be getting more bang for your buck with 200ml for 50p

Hope this helps!

Answer:

I don't know if this is right but I hope it helped

Step-by-step explanation:

5-2+9-8

3+1

4

Answer:

4

Step-by-step explanation:

5-2+9-8

3+9-8

12-8

4

hope it helped :)

Answer:

D

Step-by-step explanation:

A does not work, because you stop on the way to the meeting (which you don't)

B does not work, because you speed up on the way to the meeting, when in reality you slow down

C does not work, because it does not show that you went back home or changed speed at all

D is correct!

Answer:

D

Step-by-step explanation:

Answer:

3 square units

Step-by-step explanation:

The formula is 1/2*b*h. You plug in and solve 1/2*10*3/5.

Answer:

(C) 38 cm²

Step-by-step explanation:

Top length = 6 cm

Bottom length = 5 + 8 = 13 cm

Area

= 1/2 ( 6 + 13) (4)

= 1/2(19)(4)

= 38 cm²

The area of the trapezoid is 38 cm2.

Answer:

The distance between Amanda and the helicopter be x

cos 60  = x / 4000

x = 4000 ×  cos 60 

 = 4000 × 1/2

 = 2000 feet

Step-by-step explanation:

The distance between Jeremiah and the helicopter is given by the trigonometric relation and d = 2000 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The distance between Amanda and Jeremiah = 4000 feet

Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°

So , from the trigonometric relations ,

cos θ = adjacent / hypotenuse

cos 60° = d / 4000

Multiply by 4000 on both sides , we get

d = ( 4000 ) ( 1/2 )

d = 2000 feet

Hence , the distance is 2000 feet

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The complete question is attached below :

Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jeremiah and the helicopter? Round to the nearest feet

B, because 2/5 is the same as 20/50. Hope that helps!

Answer:

B  2/5

Step-by-step explanation:

The experimental probability of tails is the number of tails of the total number of tries

P (tails) = 20/(20+30)

             =20/50

            =2/5

Answer:

I just took my math test and used the answer already provided which came up as wrong, the correct answer is 1.250. Sorry I don't know how to get to the answer.

A ratio shows us the number of times a number contains another number. The size of unknown scale size will be 1.25.

A ratio shows us the number of times a number contains another number.

As it is given the size of the first row is 1.954, while the size of the second row is 1.563. therefore, the ratio of the first row to the second row will be,

[tex]\rm \dfrac{First\ row}{Second\ row} = \dfrac{1.954}{1.563}\\\\\\\rm \dfrac{First\ row}{Second\ row} =1.25[/tex]

Similarly, if the ratio of the second row and the third row is taken then the size of the third row can be written as,

[tex]\rm \dfrac{Second\ row}{Third\ row} =1.25\\\\\\\rm \dfrac{1.563}{Third\ row} =1.25\\\\\\Third\ row=1.2504 \approx 1.25[/tex]

Similarly, if the ratio of the third row and the fourth row is taken to verify the ratio, we will get,

[tex]\rm \dfrac{Third\ row}{Fourth\ row} = \dfrac{1.25}{1}\\\\\\\rm \dfrac{Third\ row}{Fourth\ row} = 1.25[/tex]

Thus, the size of unknown scale size will be 1.25.

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Answer:

[tex]\large\boxed{4x^2y(-2x^2y)=-8x^4y^2}[/tex]

Step-by-step explanation:

[tex](4x^2y)(-2x^2y)=(4\cdot(-2))(x^2\cdot x^2)(y\cdot y)=-8x^4y^2[/tex]

The product of 4x3y and -2x2y is -8x5y2, found by multiplying coefficients and adding exponents.

The question is asking us to multiply two algebraic expressions together, namely 4x3y and -2x2y. When multiplying algebraic expressions, you multiply the coefficients together and add the exponents of like variables. The coefficient of the first expression is 4 and the coefficient of the second expression is -2. Multiply these two together gives -8. The first expression has x raised to the power of 3 and the second has x raised to the power of 2. Add these exponents together gives x raised to the power of 5. Similarly, both expressions have y with exponent 1, two of them give y squared. Hence, the product of 4x3y and -2x2y is -8x5y2.

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Answer: 4.7

Step-by-step explanation:

D, C, 432, 3112, and C :)

Answer:

B. Thermohaline circulation

Step-by-step explanation:

Thermohaline circulation is driven by global density gradients which are created by the surface heat and fluxes of fresh water, as a part of the large scale ocean circulation.

Answer:

B. Thermohaline circulation

Step-by-step explanation:

Answer:

Option D is correct.

Step-by-step explanation:

[tex]\frac{\sqrt[3]{5}\sqrt{5}}{\sqrt[3]{5^5} }[/tex]

We need to solve this equation.

We know that √ is equal to 1/2 and ∛ is equal to 1/3 so solving the question:

[tex]=\frac{5^{1/3}X5^{1/2}}{5^{5/3}}[/tex]

We can add powers if the bases are same and numbers are multiplied.

[tex]=\frac{5^{1/3 +1/2}}{5^{5/3}}\\=\frac{5^{5/6}}{5^{5/3}}\\[/tex]

We can subtract powers if the bases are same and numbers are divided.

[tex]=5^{5/6-5/3}\\=5^{-5/6}[/tex]

So, Option D is correct.

Answer:

The number that best summarizes the data is 2 hits.

The best measure of center is the median.

Step-by-step explanation:

Since there are 25 players represented in the data, the median would be the 13th, or middle, number when the data is ordered from least to greatest.

0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,5,5,6,6

best summaries the data is 2 hits

center is the median

Answer:

"Number of", Mean

Answer:

5. 77.32°

6. 54.46°

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

I find the mnemonic SOH CAH TOA to be extremely helpful for problems like this. It reminds you ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

___

Based on your notes of problems 5 ad 6, I'd say you need to be a little careful of notation. The relationship between angles and side ratios is ...

• TrigFunction(angle) = ratio . . . . . . . . trig functions are sin, cos, tan, csc, sec, cot

• InverseTrigFunction(ratio) = angle . . . inverse trig functions are arcsin, arccos, arctan, arccsc, arcsec, arccot. These are also written with a -1 superscript, for example, sin⁻¹ for arcsin.

__

5. sin(x°) = 40/41 . . . . . . . . . . . . opposite/hypotenuse

x° = arcsin(40/41) ≈ 77.32°

__

6. tan(x°) = 7/5 . . . . . . . . . . . . . . opposite/adjacent

x° = arctan(7/5) ≈ 54.46°

__

7. tan(39°) = 11/x

x = 11/tan(39°) . . . . . . . . . multiply both sides of the equation by x/tan(39°)

x ≈ 13.6

__

8. cos(46°) = x/28

x = 28·cos(46°) ≈ 19.5

__

9. tan(51°) = 8/x

x = 8/tan(51°) ≈ 6.5 . . . . . solve as in problem 7

__

10. sin(24°) = x/31

x = 31·sin(24°) ≈ 12.6

Answer:

I would say B

Hope This Helps!   Have A Nice Day!!

Answer: IT Is Not B !

Step-by-step explanation:

Answer:

The value of b is 55

The value of c is 28

The expression for the height of the ball at time t is h(t) = -16t² + 55t + 28

Step-by-step explanation:

* Lets discus the situations in the problem

- The ball was lunched up from a tower of height 28 feet above

  the ground

∴ The initial height = 28 feet ⇒ (initial means time is zero)

- The ball launched with an initial velocity 55 feet/second

∴ The initial velocity = 55 feet/second ⇒ (at t = 0)

- The equation of the height of the ball after t second is:

  h = ut + 1/2 at² + hi, where u is the initial velocity, a is the acceleration of

  gravity, t is the number of seconds since the ball was lunched

  hi is the initial height which the ball was lunched from it  and h is the

  height above the ground

∵ The ball was lunched up

∴ The gravity acceleration is -16 feet/second²

∵ The initial velocity is upward

∴ u = 55 feet/second

∵ The tower is 28 feet above the ground

∴ hi = 28 feet

- Substitute these values in the equation

∴ h = 55t + 1/2(-32)t² + 28 ⇒ simplify

∴ h = 55t - 16t² + 28 ⇒ start with t²

∴ h = -16t² + 55t + 28

* Now compare between the two equation

∵ h = -16t² + bt + c

∵ h = -16t² + 55t + 28

∴ b = 55 ⇒ coefficient of t

∴ c = 28

∴ h(t) = -16t² + 55t + 28

Answer:

H'(15, - 7)

Step-by-step explanation:

Given the translation < 10, - 11 >

Add 10 units to the x- coordinate of H and subtract 11 units from the y- coordinate of H, that is

H(5, 4) → H'(5 + 10, 4 - 11) → H'(15, - 7)

H’(15;-7) is my answer for your question

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex]

Similarly

[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex] = 1 [tex]\frac{2}{3}[/tex]

which is the radius and which one is the hieght??

Answer is 25.6 you just put the numbers and multiply them and then add them

Answer:

6 < n < 56

Step-by-step explanation:

Let's translate that into a symbolic relationship:

1 < (56/n) < 7

This produces two inequalities to be solved:  1 < (56/n) and (56/n) < 7.

Dividing both sides of (56/n) < 7 by 7 results in (6/n) < 1

which can be rewritten as 6 < n or n > 6.

Multiplying both sides of 1 < (56/n) by n results in n < 56.

There's no one solution.  Rather, the solution set is 6 < n < 56.

The solution set is 8 < n < 56 for number so 56 divide n is greater than 1 but less than 7

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

a number so 56 divide n is greater than 1. But less than 7

56/n>1

56/n < 7

This sentence can be written as

1 < (56/n) < 7

Two inequalities to be solved:  

1 < (56/n) and (56/n) < 7.

n<56 and 56/7<n

n<56 and 8<n

Dividing both sides of (56/n) < 7 by 7 results in (8/n) < 1

which can be rewritten as 8 < n or n > 8.

Multiplying both sides of 1 < (56/n) by n results in n < 56.

There's no one solution.  

Hence, the solution set is 8 < n < 56.

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Answer:

1. 2

2. 10

3. 144

The area of a triangle △ABC with side lengths a, b, c and height h is shown to be equal to 1/2 ab sin C using the triangle area formula, definition of sine in right triangles, multiplication property of equality and commutative property of multiplication.

In the triangle ​△ABC ​ with side lengths a, b, and c, and height h, we can start with the triangle area formula, which is Area = 1/2 bh. Here, h denotes the height of the triangle, which when drawn from the angle C would be adjacent to the angle while b represents the side that is opposite to the angle C. By the definition of sine in right-angled triangles, sin C = h/a. Now, we can use the Multiplication Property of Equality to write asinC=h. Mixing the given formula of the area with this equality, we get Area=1/2 ba sin C. As the multiplication is commutative, we can re-write this as Area = 1/2 ab sin C.

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To prove the area of a triangle, use the formula 1/2 base × height and substitute sin C with h/a.

To prove that the area of △ABC is equal to 1/2 ab sin C, we can use the formula for the area of a triangle: Area = 1/2 base × height. In this case, the base is b and the height is h, so the area is 1/2 bh. We also know that sin C = h/a, so we can substitute h/a for sin C in the area formula to get Area = 1/2 ab sin C.

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Answer:

797

Step-by-step explanation:

Answer:

C) Regular Octagon.

Step-by-step explanation:

First let's see what a tessellation is.

Tessellation is a floor made by regular types of tiles without overlapping and gap.

We cannot use all shape of tiles to tessellate a plane.

We are given Regular pentagon, irregular triangle and regular octagon.

The pentagon has 5 sides, all sides are in the same length. We cannot tessellate a plane using pentagon.

The second figure is a irregular triangle, we cannot make tessellate a plane using irregular shapes.

The third figure is a regular octagon. We can tessellate a plane using a regular octagon.

Therefore, answer is C) Regular Octagon.

Answer:

The largest Common Factor of 12,18 and, 21 is 3

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of [tex]h^{-1}(x)[/tex] = Range of h(x) = (5, -7, -9, -12, 16}

Range of [tex]h^{-1}(x)[/tex] = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, [tex]h^{-1}(x)[/tex] will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

Answer:

a) $1850

b) 3.7%

Step-by-step explanation:

a) This is a straight calculation based on the description in the problem statement.

2%×$50,000 +850 = $1000 +850 = $1850

__

b) To find the percentage of income saved, find the ratio of savings to income and multiply that by 100%.

$1850/$50,000×100% = 3.7%

Answer:

Part A: $1850

Part B : 3.7%

Step-by-step explanation:

Due to temporary tax cuts in 2010, a person with typical deductions earning $50,000 per year would have saved 2% of their income plus $850 in federal taxes.

Part A:

Total savings will be = [tex](0.02\times50000)+850[/tex]

= [tex]1000+850=1850[/tex] dollars

Part B:

The percent did this person save on her income will be = [tex]\frac{1850}{50000}\times100= 3.7[/tex]%

Answer:

The unit price for the 7.03 kg bag is about $1.78 per kg. The unit price for the 7.98 kg bag is about $1.83 per kg. The 7.03 kg is a better deal because you pay less per kg.

Step-by-step explanation:

1) To find the unit price, you need to find the price per unit. The unit here being kg. So, you need to divide the price by the number of units.

2) Here is this written out...

7.03 kg bag:

$12.53 / 7.03 kg = 1.78236130868 dollars per kg, or about $1.78 per kg

7.98 kg bag:

$14.64 / 7.98 kg = 1.83458646617 dollars per kg, or about $1.83 per kg

3) As you can see, if Joe purchases the 7.98 kg bag of dog food, he is paying more for every kg of dog food than if he were to purchase the 7.03 kg bag of dog food. This makes the 7.03 bag of dog food a better deal.

Hopefully this helps.

The unit price for the first bag of dog food is $1.78/kg, and the unit price for the second bag is $1.83/kg. Therefore, the first bag is cheaper and thus the better buy based on unit price.

To find the unit price of the dog food, we need to divide the total cost of the bag by its weight. For the first bag, we take the total cost of $12.53 divided by its weight of 7.03 kg. For the second bag, we take the total cost of $14.64 divided by its weight of 7.98 kg.

For example, using these calculations, the unit price for the first bag is $1.78/kg and the unit price for the second bag is $1.83/kg .

Therefore based on unit price, the first bag of dog food is the better buy as it is cheaper per kilogram.

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