Lionel created a picture to hang on his wall. The drawing is below. Each circle has a radius of 8cm. The circles touch each other and the ends of the canvas. The background of Lionel’s picture is black. What is the area of the black portion?

The measure of the secant line VZ is 36.

From the diagram:

Using the Intersecting Secants Theorem:

VY × VZ = VW × VX

Plug in the values and solve for x.

( x + 2 ) × ( x + 2 + 29 ) = ( x + 4 ) × (  x + 4 + 19 )

( x + 2 ) × ( x + 31 ) = ( x + 4 ) × (  x + 23 )

Aplly distrubutive property

x( x + 31 ) + 2( x + 31 ) = x(  x + 23 ) + 4(  x + 23 )

x² + 31x + 2x + 62 = x² + 23x + 4x + 92

Collect and add like terms

x² -  x² + 31x + 2x - 23x - 4x = 92 - 62

31x + 2x - 23x - 4x = 92 - 62

6x = 92 - 62

6x = 30

x = 30/6

x = 5

Now, the value of line VZ will be:

VZ = x + 2 + 29

Plug in x = 5

VZ = 5 + 2 + 29

VZ = 5 + 2 + 29

VZ = 36

Therefore, line VZ is 36.

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20 pounds per square inch

The 95% confidence interval for the percentage of all voters in the population who have an income of $150,000 or more is approximately (18.38%, 25.62%).

To calculate the 95% confidence interval for the percentage of all voters in the population who have an income of $150,000 or more, we can use the following formula:
CI = p ± z*sqrt((p*(1-p))/n)
Where:
p = proportion of voters in the sample who have an income of $150,000 or more = 110/500 = 0.22
z* = z-score corresponding to 95% confidence level = 1.96 (from standard normal distribution)
n = sample size = 500
Plugging in these values, we get:
CI = 0.22 ± 1.96*sqrt((0.22*(1-0.22))/500)
CI = 0.22 ± 0.049
CI = (0.171, 0.269)
Therefore, we can be 95% confident that the percentage of all voters in the population who have an income of $150,000 or more is between 17.1% and 26.9%.
To calculate a 95% confidence interval for the percentage of all voters in the population who have an income of $150,000 or more, we will use the following formula:
CI = p-hat ± Z * √(p-hat * (1 - p-hat) / n)
Where:
- CI represents the confidence interval
- p-hat is the sample proportion (110/500 = 0.22)
- Z is the Z-score for a 95% confidence interval (1.96)
- n is the sample size (500)
Plugging the values into the formula:
CI = 0.22 ± 1.96 * √(0.22 * (1 - 0.22) / 500)
CI = 0.22 ± 1.96 * √(0.1716 / 500)
CI = 0.22 ± 1.96 * 0.01845
CI = 0.22 ± 0.03612

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To calculate the cost price of each 500g bag, we need to consider the following steps: Step 1: Determine the number of 500g bags that can be made from a 10kg bag of potatoes.

10kg is equivalent to 10,000g, and since each smaller bag weighs 500g, we divide 10,000g by 500g: 10,000g ÷ 500g = 20.So, 20 bags of 500g can be made from the 10kg bag. Step 2: Calculate the cost price of each 500g bag. To find the cost price of each bag, we divide the total cost of the 10kg bag by the number of smaller bags: R62.00 ÷ 20 = R3.10. Therefore, the cost price of each 500g bag would be R3.10.

This means that Sameer would need to sell each 500g bag for more than R3.10 in order to make a profit. The selling price would depend on factors such as overhead costs, desired profit margin, and market demand.

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Answer:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

Step-by-step explanation:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.

Thus, the correction is as follows:

Given the fraction

\(\frac{2}{3}\)

Multiply the nominator and denominator of the fraction by 2

\(\frac{2\times 2}{3\times 2}=\frac{4}{6}\)

Thus, the 4/6 is the correct equivalent expression of 2/3.

Answer:

- 16 hope it helps a lot for you

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

(a) \(2 + (2 - 3/r) sin\theta cos\phi = 0\), the equation in spherical coordinates.

(b) 3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r, the equation in spherical coordinates.

(a) To write the equation \(2x^2 - 3x + 2y^2 + 2z^2 = 0\)in spherical coordinates, we need to express x, y, and z in terms of spherical coordinates. We have

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

Substituting these expressions into the given equation, we get

\(2(r sin\theta cos\phi)^2 - 3(r sin\theta cos\phi) + 2(r sin\theta sin\phi)^2 + 2(r cos\theta)^2 = 0\)

Simplifying, we get

\(2r^2(sin^2\theta cos^2\phi + sin^2\theta sin^2\phi) + 2r^2 cos^2\theta - 3r sin\theta cos\phi = 0\)

Using the identity \(sin^2\theta + cos^2\theta = 1\), we can simplify this equation further to get

\(2r^2 + (2r^2 - 3r) sin\theta cos\phi = 0\)

Dividing both sides by \(r^2\) and rearranging, we get

\(2 + (2 - 3/r) sin\theta cos\phi = 0\)

This is the equation in spherical coordinates.

(b) To write the equation 3x + 4y + 2z = 1 in spherical coordinates, we again need to express x, y, and z in terms of spherical coordinates. Substituting these expressions into the given equation, we get

3(r sinθ cosφ) + 4(r sinθ sinφ) + 2(r cosθ) = 1

Simplifying, we get

r(3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ) = 1

Dividing both sides by r and rearranging, we get

3 sinθ cosφ + 4 sinθ sinφ + 2 cosθ = 1/r

This is the equation in spherical coordinates.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Therefore, To find the mean of a data sentence, add up all the numbers and divide by the total number of numbers.

Explanation: To find the mean of a data sentence, you need to add up all the numbers in the sentence and divide by the total number of numbers.
To find the mean of a data sentence, add up all the numbers in the sentence and divide by the total number of numbers. For example, if the data sentence is 2, 4, 6, 8, and 10, you would add all the numbers together (2+4+6+8+10=30) and then divide by the total number of numbers (5). Therefore, the mean of this data sentence is 6.

Therefore, To find the mean of a data sentence, add up all the numbers and divide by the total number of numbers.

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Answer:

82

Step-by-step explanation:

2 × 6² + 10 ( perform multiplication before addition )

= 2 × 36 + 10

= 72 + 10

= 82

Answer:

The three consecutive numbers are 34, 35, 36

Step-by-step explanation:

three consecutive numbers:  x+(x+1)+(x+2)

x+x+1+x+2= 105

3x+3=105

    -3   -3

3x= 102

3x/3= 102/3

34=x

But we also need to find (x+1) and (x+2)

34+1= 35

34+2=36

34+35+36= 105

The three consecutive numbers are 34, 35, 36

Hope this helps!

Answer:

C

Step-by-step explanation:

It is C. Have a great day!

Answer:

y = -3/2x + 3

Step-by-step explanation:

The y intercept is 3.

It goes down three units, then goes right 2 units.

Answer:

For the x coordinate, it is 2 and for the y coordinate it is 4. So, y=2x+4

Step-by-step explanation:

sorry if this is wrong!! I tried my best lol

Answer:

A unit rate is a rate where the second quantity is one unit , such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

Step-by-step explanation:

The value of 'x' for the given co exterior angles for the parallel lines PQ ans SR is found as: x = 30.

For the stated question:

(x + 12) + (3x + 48) = 180  (co exterior angles are supplementary)

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 30

Thus, the value of 'x' for the given co exterior angles for the parallel lines PQ ans SR is found as: x = 30.

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Answer:

I cant tell what the answer is cause X and Y dont have a value

Step-by-step explanation:

Answer:

p=9

Step-by-step explanation:

Answer:

I got uuu

I got 36+3x

u just gotta mutiply the 3 to both the 8 and x making 24+x then u put the 12 then I got the equation 24+x+12 then add like numbers so the only onea u got are 12 and 24 which make 36 and left with 3x so ur solution is 36+3x

Answer:

PA = PB

Step-by-step explanation:

The radius OA = OB

so triangles OPA is congruent to OPB because OA = OB, OP is the same side, angle OPA = angle OPB = 90o

therefore PA = PB

Answer:

The balance in her account is $329.75

The measure of the angle x in the isosceles triangles are;

x = 44°

1) x = 80°

An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.

The measure of the specified angle are found as follows;

The isosceles triangle that has 92° as the exterior angle, indicates that we get;

Base angles of the isosceles triangle = (180° - 92°)/2 = 44°

Vertical angles theorem, indicates that the vertical angle and the base angles of the second isosceles triangle are congruent.

Base angles of the second isosceles triangle = 44°

1) The angle adjacent to the angle x is a base angle of the isosceles triangle that has a base angle of 70°

The vertex angle of the isosceles triangle = 180° - 2 × 70° = 40°

The measure of the section of the indicated 90° angle that is a part of the isosceles triangle that has angle x as the vertex angle = 90° - 40° = 50°

The measure of angle x found using the relationship between the angles in an isosceles is; x = 180° - 2 × 50° = 80°

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Experiment: "Favorite Cake Flavor"

Hypothesis: Different people have different favorite cakes flavors.

Now, Data collection enables us to identify the cakes flavors both popular and unpopular amongst users.

Furthermore, data analysis based on factors such as age, gender, and location allows for determining if disparities exist between consumer flavor preferences.

The findings of this study would be beneficial to cakes manufacturers and retailers, as they could enhance comprehension of preferred buyer choices and eventuate their products accordingly.  

Conclusively, improved knowledge of preferred flavor profiles would facilitate refining marketing methodologies to attract a broader target audience.

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

the answer to your question is false.

Step-by-step explanation:

These ratios are not equivalent

Answer:

the answer is Equal to zero

Step-by-step explanation:

hope it's help correct me if I'm wrong <3

Answer:

≥0

Step-by-step explanation:

This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.

-2/-1

This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.

0/1

Hmm...this one is equal to 0. Seems like we have ≥0 right now.

2/3

>0, right? Well, since we have expression ≥0, that's your answer!

Hope it helps!

Answer:

2.2325 seconds

Step-by-step explanation:

We know

It takes 8.93 seconds for a train to travel 4 yards.

How far does it take the train to travel 1 yard?

We take

8.93 divided by 4 = 2.2325 seconds

So, it takes the train 2.2325 seconds to travel 1 yard.