Which is a reasonable estimate for the circumference of the circle?

Answer:

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

[tex]\sqrt[3]{x} =-1[/tex]

We cube both sides

[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]

There you have it, cubing both sides of an equation is reversible.

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Answer:

Thee three cues are

1. Control the ball with he finger-pads

2. Always dribble at waist level

3. One's eyes should be up to see the team members and defenders while dribbling

Step-by-step explanation:

To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body

When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm

The three cues are

1. Handle the ball with the finger pads, not with the  palm of the hands nor with the fingertips

2. Dribbling should be done only at the waist level  

3. When dribbling a ball, one should keep his eyes up to see the game ongoing.

Answer: 1.72 kilograms

Step-by-step explanation:

From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.

To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:

= 3.5 kg - 1.78 kg

= 1. 72 kg

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

It is Mbps or kbps of data packets that can be transferred within a specified time.

Learn more about internet speed,

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Answer:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

The correct option is therefore;

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

Learn more about inscribed geometric figures of a circle here:

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Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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Answer:

5 minutes

Step-by-step explanation:

Do a proportion

440/75= 1760/x

cross multiply

440x=1760(75)

simplify

132000/440

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

Answer: x = 1

Step-by-step explanation:

we have

x tetras

3 goldfish

5 platies.

the total number of fishh in the bowl is x + 3 + 5

The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:

p = 3/(x + 3 + 5) = 1/3

3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3

9 = x + 3 + 5

x = 9 - 8 = 1

then wemust have that x = 1

because 1 + 3 + 5 = 9

and 3/9 = 1/3

Answer:

1.)

A=3

B=-6

2.)

1

3.)

(1,10)

Answer:

1.  Identify the values of a and b.            

a =  

✔ 3

and b =

✔ –6

2.   Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction  =

✔ 1

3.  Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

Answer:

Step-by-step explanation:

Cost of bikes =  $500.00

If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;

7% of $500.00

= [tex]\frac{7}{100} * 500\\[/tex]

= $35

The final cost of bike = initial selling price + amount paid as tax

The final cost of bike  = $500.00 + $35.00

The final cost of bike = $535.00

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

Answer:

cosine I think

Step-by-step explanation:

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.

The sine is given as the side opposite to the angle is known as perpendicular.

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.

More about the trigonometry link is given below.

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Answer:

The correct option is (D).

Step-by-step explanation:

The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.  

Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The methods commonly used for depicting a frequency distribution are:

Out of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.

In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

So, Anne can set range of budget values and assign the number of buyers with various  budgets.

From the provided data the range of budget values can be set as:

Less than $50,000

$50,000 - $100,000

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Thus, the histogram data display is best for Anne's purpose.

The correct option is (D).

This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.

Given:

Anne wants to create a data display to summarize prices of the 264 homes for sale in her  area. A sample of the data is shown below.

$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.

According to the question,

As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.  

Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.

The following methods commonly used for depicting a frequency distribution are:

Out of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.

In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various  budgets.

Thus, Anne can set range of budget values and assign the number of buyers with various budgets.

From the given data the range of budget values can be written as:

Less than $50,000

$50,000 - $100,000  

$100,000 - $150,000

$150,000 - $200,000

$200,000 - $250,000

$250,000 - $300,000

$300,000 - $350,000

Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.

For more details, prefer this link:

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Answer:

2, 18, 56.52, It will double as well.

Step-by-step explanation:

First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.

If the diameter is doubled what happens to the circumference? Explain.

It will double because its like a second layer is added on,  and 56.52 x 2 = 113.04, which would be the doubled circumference.

Hope this helps! :)

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

Answer:

sky im going with A

Step-by-step explanation:

x=7

Step-by-step explanation:

median is the middle no.=6 and x

it will be 6+x=13

take 6 to the other side=7, hence x=7

I dont want to give you the exact equation so u wont be copying- here is an example.

let x=grams of salt that you already have

let y=grams of salt that need to be added

let z=total amount of salt in the solution after adding salt

We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:

x=.25*400g

x=100g

Therefore, there are 100 grams of salt already in the solution.

Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:

z=100g+y

The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:

400g+y=total amount of solution after adding salt.

This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.

Therefore, the second way to express z is below:

z=.40*(400g+y)

After we have two equations for z, we can set them equal to each other as follows:

100g+y=.40*(400g+y)

We then can distribute the .40 over the parenthesis.

100g+y=160g+.40y

And then we can subtract 100 grams from both sides of the equation.

y=60g+.40y

Next, we subtract .40 y from both sides of the equation to get y on one side.

.6y=60g

Finally, we can divide both sides by .6 to isolate y.

y=100g

Therefore, you must add 100g of salt to the solution to make it 40 percent salt.

DID I DO IT RIGHTT?? pls tell me

Answer:

C

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.

Hope this helped! :)

Answer:

sometimes

Step-by-step explanation:

Answer:

1st  and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

Answer: this is ez its

first

second

third

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Degree of monomial = 2 + 3 = 5

Answer:

i think the answer is 1 dont take my word for it though

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1

Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

Answer:

[tex]=144x^7y^6[/tex]

Step-by-step explanation:

[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]

Answer:

Step-by-step explanation:

2 x(4−3xy^2)/y

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.