the area of a rectangle is 66 m^2, and the length of the rectangle is 1 mmore than twice the width. find the dimensions of the rectangle.

The measure of angle B is indeed 70°, and the two angles are Supplementary

Step 1: Understand supplementary angles
Supplementary angles are two angles whose sum equals 180 degrees. In other words, if two angles are supplementary, then their measures add up to 180°.

Step 2: Set up the equation
Let's say you have two supplementary angles, angle A and angle B. You know the measure of angle A, but you need to find the measure of angle B. To do this, you can set up the following equation:

angle A + angle B = 180°

Step 3: Insert the known angle measure
Since you know the measure of angle A, you can insert its value into the equation. For example, if angle A measures 110°, the equation would be:

110° + angle B = 180°

Step 4: Solve for the unknown angle
Now, you can solve the equation to find the measure of angle B. Using the example above:

110° + angle B = 180°

Subtract 110° from both sides:

angle B = 70°

Step 5: Verify your answer
To make sure your answer is correct, you can add the measures of angle A and angle B together. If they equal 180°, then your answer is correct. In this example:

110° + 70° = 180°

So, the measure of angle B is indeed 70°, and the two angles are supplementary.

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A semicircle rotated around its axis gives sphere, rectangle  rotated around its axis gives sphere . and a right triangle  rotated around its axis gives sphere

what is rectangle?

A rectangle is a four-sided flat shape with straight sides and four right angles. It is a type of parallelogram, with opposite sides equal in length and parallel to each other. The area of a rectangle can be calculated by multiplying its length and width, while its perimeter can be found by adding the lengths of all four sides.

In the given question,

A semicircle rotated around its axis gives sphere,

A  rectangle  rotated around its axis gives sphere .

A right triangle  rotated around its axis gives sphere

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Answer: 1/10

1/5 divided by 1/2 = 0.1 = 1/10

Answer:

f(x)=x² → g(x)=4x²-5

Parent Function: y=[tex]x^{2}[/tex]

Horizontal Shift: None

Vertical Shift: Down 5 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

Answer:  4 free throws and 6 field goals

Step-by-step explanation:

4x1=4

6x2=12

12+4=16

Answer:

4 free throws and 6 field goals

Step-by-step explanation:

The statement that cannot be concluded based on the given temperature models is statement 2: "The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix."

Equations can be simple or complex, and they can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Equations can also be represented graphically using curves or surfaces.

We can compare the two given temperature models to make conclusions about the average monthly temperature variations in Bar Harbor and Phoenix.

First, let's compare the midline temperatures:

Midline temperature for Bar Harbor = 55.300 degrees F

Midline temperature for Phoenix = 86.729 degrees F

Since the midline temperature for Phoenix is higher than that of Bar Harbor, we can conclude that statement 2 cannot be concluded.

Next, let's compare the amplitude of the temperature variations:

Amplitude of temperature variation in Bar Harbor = 23.914 degrees F

Amplitude of temperature variation in Phoenix = 20.238 degrees F

Since the amplitude of temperature variation in Bar Harbor is greater than that of Phoenix, we can conclude that statement 1 is true.

Finally, let's use the temperature models to find the maximum and minimum temperatures:

Maximum temperature in Bar Harbor = 23.914 sin(0.508x-2.116)+55.300

To find the maximum temperature, we need to find the maximum value of the sine function, which is 1. Therefore, the maximum temperature occurs when:

0.508x-2.116 = 90 degrees

Solving for x, we get:

x = (90 + 2.116)/0.508 = 177.066

Plugging this value into the temperature model, we get:

Maximum temperature in Bar Harbor = 23.914 sin(0.508(177.066)-2.116)+55.300 = 78.986 degrees F

Therefore, statement 3 is false.

Minimum temperature in Phoenix = 20.238 sin(0.525x-2.148) + 86.729

To find the minimum temperature, we need to find the minimum value of the sine function, which is -1. Therefore, the minimum temperature occurs when:

0.525x-2.148 = 270 degrees

Solving for x, we get:

x = (270 + 2.148)/0.525 = 517.657

Plugging this value into the temperature model, we get:

Minimum temperature in Phoenix = 20.238 sin(0.525(517.657)-2.148) + 86.729 = 65.983 degrees F

Therefore, statement 4 is false.

Therefore, the statement that cannot be concluded based on the given temperature models is statement 2: "The midline average monthly temperature for Bar Harbor is lower than the midline temperature for Phoenix."

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Statement 2: "The midline average monthly climate for Bar Harbor is less than the midline temperature for Phoenix," cannot be proven based on the provided temperature models.

In addition to variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation, equations can be simple or complex. Equations can also be graphically represented using surfaces or curves.

To draw conclusions regarding the average monthly temperature variations in Bar Harbor and Phoenix, we can compare the two provided temperature models.

Let's start by contrasting the midline temperatures:

Midline temperature for Bar Harbor = 55.300 degrees F

Phoenix's midline temperature = 86.729 degrees F

We can infer from the fact that Phoenix's median temperature is greater than Bar Harbor's that assertion 2 cannot be drawn.

Let's compare the temperature variations' amplitude next:

Bar Harbor's temperature variations' severity = 23.914 degrees F

The intensity of Phoenix's temperature variations = 20.238 degrees F

We can infer that assertion 1 is accurate since the amplitude of temperature change in Bar Harbor is bigger than that in Phoenix.

Let's use the temperature models to determine the highest and lowest temperatures.

Bar Harbor's highest temperature is equal to 23.914 sin (0.508x-2.116) + 55.300.

We need to determine the sine function's maximum value, which is 1, in order to determine the maximum temperature. Consequently, the highest temperature is reached when:

0.508x-2.116 = 90 degrees

Solving for x, we get:

x = (90 + 2.116)/0.508 = 177.066

When this value is entered into the temperature model, we obtain:

Bar Harbor's highest temperature record

= 23.914 sin(0.508(177.066)-2.116)+55.300

= 78.986 degrees F

Therefore, statement 3 is false.

Phoenix's low temperature = 20.238 sin(0.525x-2.148) + 86.729

We need to determine the sine function's minimal value, which is -1, in order to determine the minimum temperature. Consequently, the lowest temperature is reached when:

0.525x-2.148 = 270 degrees

Solving for x, we get:

x = (270 + 2.148)/0.525 = 517.657

When this value is entered into the temperature model, we obtain:

Phoenix's low temperature

= 20.238 sin(0.525(517.657)-2.148) + 86.729

= 65.983 degrees F

Therefore, statement 4 is false.

Statement 2: "The midline average month climate for Bar Harbor is lower than the midline temperature for Phoenix," cannot be proved based on the provided temperature models.

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Answer:

I am sorry but I cant find the graph !

Can you please resend your question with the picture of the graph

thank you

Step-by-step explanation:

Answer:

a) 6°C

b) upward

Step-by-step explanation:

I don't know if you mean  this  type

a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:

maximum temperature: 18 °C

minimum temperature: 12 °C

Then:

range of temperatures: 18-12 = 6°C

b) The trend is upward because, given any temperature, the next one is higher.

8 goes into 70,  8 times with a remainder of 6.

What is remainder?

In general, if we want to divide a number by another number, say a by b, we want to find out how many times b goes into a, and what the remainder is. We can represent this as:

a = b × q + r

where:

a: the dividend

b: the divisor

q: the quotient (how many times b goes into a)

r: the remainder (what is left over after we divide as many times as possible)

Now, let's apply this to the specific problem:

We want to divide 70 by 8, so we can write:

70 = 8 × q + r

We want to find out what q and r are.

To find q, we can start with the largest multiple of 8 that is less than or equal to 70, which is 64 (8 times 8). We can see that 8 goes into 64 exactly 8 times:

64 = 8 × 8 + 0

So q = 8.

To find r, we can subtract 64 from 70:

70 - 64 = 6

So the remainder is 6.

Putting it all together, we have:

70 = 8 × 8 + 6

So 8 goes into 70 8 times with a remainder of 6.

What is dividend?

In division, the dividend is the number that is being divided into equal parts or groups. It is the number that appears before the division symbol. For example, in the division problem 12 ÷ 3 = 4, 12 is the dividend.

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Complete question is: 8 goes into 70,  8 times with a remainder of 6.

According to the given figure number of possible outcome is 2 and total number of outcome is 4 therefore the probability of an event P(e) less than 7 would be ½.

There are a total of 4 numbers so the No total outcome would be 4.

No of possible outcome = 2 (as there are only two numbers less than 2)

Probability of event, P(e) = no of possible outcome / No of total outcome

This,

P(less than 7) = 2/4

P(less than 7) = ½

Hence The probability of an event P(e) less than 7 would be ½.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theorem of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

Step-by-step explanation:

pi = 180°

[tex]\frac{17*180}{9} = \frac{3060}{9}= 340[/tex]

V(t) = -$266.67t + $28,500 is the linear model that captures this situation.

What is a linear model?

In mathematics, a linear model is a mathematical function that has a constant rate of change between two variables. The general form of a linear model is given by:

y = mx + b

where "y" and "x" are variables, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).

A line's slope is the ratio of change in y (vertical) to change in x. (horizontal). It denotes the pace at which y changes in relation to x. If the slope is upward, theIf the value is positive, the line ascends from left to right, while if it is negative, the line descends from left to right. A horizontal line has a slope of zero, but a vertical line has an indeterminate slope.

A line's y-intercept is the value of y when x is zero. It denotes the point at where the line intersects the y-axis.

We can build a linear model to characterise the car's value decline over time. Let V(t) be the car's worth t years after 2005. Then, using the two data points provided, we can construct two equations:

V(0) = $28,500 (the initial value in 2005)

V(3) = $27,700 (the value in 2008, 3 years later)

Because we are assuming

Because we have a straight line, we can write:

V(t) = mt + b

where m is the slope (annual rate of change) and b is the y-intercept (initial value).

We may use the two equations above to obtain the values of m and b:

V(0) = m(0) + b = $28,500 => b = $28,500

V(3) = m(3) + b = $27,700 = 3m + $28,500 = $27,700 = $27,700 = m = -$266.67/year

As a result, the linear model that best describes this circumstance is:

V(t) = -$266.67t + $28,500

This model reveals that the car's value depreciates at a rate of $266.67 per year, with a starting value of $28,500 in 2005. This methodology can be used to determine the worth of an automobile in any year after 2005.

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The number of negative real zeros is either 2 or 0.

How to use Descartes's rule ?

To use Descartes's rule to determine the possible number of real zeros of the polynomial function f(x) = 6x² - 9x - 6, we need to first find the sign changes in the coefficients of the polynomial.

The coefficient of the highest power of x is 6, which is positive. The coefficient of the next highest power of x is -9, which is negative. The coefficient of the constant term is -6, which is negative as well. So, there are two sign changes in the coefficients of the polynomial.

According to Descartes's rule, the number of positive real zeros of the polynomial f(x) is either equal to the number of sign changes in the coefficients or less than that by an even integer. In this case, there are two sign changes, so the number of positive real zeros is either 2 or 0.

Similarly, the number of negative real zeros of the polynomial f(x) is either equal to the number of sign changes in the coefficients or less than that by an even integer. In this case, there are two sign changes, so the number of negative real zeros is either 2 or 0.

Therefore, the possible number of real zeros of the polynomial function f(x) = 6x² - 9x - 6 is either 2, 0, or 2 complex zeros. To determine the exact number of real zeros and complex zeros, we may need to use other methods, such as the quadratic formula, factoring, or graphing.

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Answer:

4.The median coast for beach parking is $35: This means that half of the beach parking costs are below $35 and half of them are above $35.

5. The IQR of weights of dishes of frozen yogurt is 3.5 ounces: This means that the middle 50% of weights of dishes of frozen yogurt fall within a range of 3.5 ounces.

6.The mean weight for an adult loggerhead sea turtle is 275 pounds: This means that the average weight of an adult loggerhead sea turtle is 275 pounds.

7. The range of the length of adult manatees was 5 feet: This means that the difference between the maximum and minimum lengths of adult manatees is 5 feet.

Answer:

1. a. [tex]\frac{2}{13}[/tex]

2. c. [tex]\frac{3}{6}[/tex]

3. d. [tex]\frac{1}{10}[/tex]

4. b. [tex]\frac{1}{8}[/tex]

Hope it helps you!

Answer: b. 18

Mark me brainliest

Step-by-step explanation:

The probability of pulling out three cherry-flavored lollipops from a bag where 25% of the lollipops are cherry-flavored is very low at only about 1.5625%.

If 25% of the lollipops are cherry flavored, then the probability that any one lollipop is cherry flavored is 0.25. Since Bernie pulls out 3 lollipops, the probability that all of them are cherry flavored is:

0.25 x 0.25 x 0.25 = 0.015625 or 1.5625%

So the probability that all three lollipops are cherry flavored is very low, only about 1.5625%.

As for which simulation could be used to fairly represent the situation, one possible approach is to create a virtual bag of lollipops with 25% cherry flavored ones and randomly draw 3 lollipops from the bag multiple times to simulate the process.

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The consequence of a type II error can be conclude that option (c) has no effect when it really does concluding that a treatment

A Type II error is a statistical error that occurs when a null hypothesis is not rejected when it should be. Specifically, it is when a researcher concludes that there is no effect of a treatment when there actually is one. This error can have serious consequences, as it may result in missed opportunities to implement effective treatments or interventions.

To minimize the likelihood of Type II errors, researchers can increase the sample size or adjust the statistical significance level of the test. Overall, it is important to be aware of the potential for Type II errors and to take steps to minimize their occurrence.

Therefore, the correct option is (c) has no effect when it really does concluding that a treatment

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The given question is incomplete, the complete question is:

what is the consequence of a type ii error? group of answer choices concluding that a treatment

a) has an effect when it really does concluding that a treatment b) has an effect when it really has no effect concluding that a treatment c) has no effect when it really does concluding that a treatment d) has no effect when it really has no effect

The Maximum no. of fish is 200 thousands.

How to find the fish count from the function?

Let say the function is

[tex]P(x)=-2(x-9)^2+200\\\\[/tex]

Differentiating w.r.t x, we get

[tex]\\\\P'(x) = -4(x-9)\\\\for\ maximum\ value\ of\ x,\ P'(x) =0\\\\x=9\\\\So,\ put\ value\ of\ x\ in\ equation, we get\\\\P(x) = 200[/tex]

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[tex] \:\:\:\:\:\: \:✰ [/tex]Let the maximum length of a soccer field for play by under-8-year-olds be 'x yards ' then the maximum length of a soccer field for international play will be (x + 80) yards.(For solving this problem we have to assume the soccer field as rectangular-shaped.)

As per question, the total length of these two categories of soccer fields is 160 yards. Which states -

[tex] \:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x + (x + 80) = 160}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x + x + 80 = 160\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x + 80 = 160 \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x = 160 - 80\\[/tex]

[tex]\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf 2x = 80\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x = \cancel{\dfrac{80}{2}}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x = 40}\\[/tex]

The correct answer is B. 11 inches.

Answer:

100

Step-by-step explanation:

30 x 100 = 300

Helping in the name of Jesus.

To fill in the successive diagonals of the infinite grid, we start with $1$ in the $(1,1)$ spot. The second diagonal starts with $2$ in the $(1,2)$ spot and $3$ in the $(2,1)$ spot.

The third diagonal starts with $4$ in the $(1,3)$ spot, $5$ in the $(2,2)$ spot, and $6$ in the $(3,1)$ spot. And so on. Since $41$ is in the $(5,5)$ spot, it means it is the $41$st integer to be filled in the diagonals of the grid. To find the integer in the $(10,10)$ spot, we need to count $9$ diagonals that come before the diagonal that contains $(10,10)$.

Each diagonal contains one more integer than the previous diagonal. So, the $n$th diagonal contains $n$ integers.Therefore, the $10$th diagonal contains $10$ integers, starting with the integer in the $(1,10)$ spot and ending with the integer in the $(10,1)$ spot.

The integer in the $(10,10)$ spot is the last integer in the $10$th diagonal, which is $10+9+8+7+6+5+4+3+2+1 = \boxed{55}$.

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Answer:

X=85°

Step-by-step explanation:

35°+x°=120° [Exterior angle of a triangle is equal to the sum of the interior opposite angles]

x=120°-35°

x=85°

We can conclude that the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

The method of dividing two numbers that gets us the answer is called a quotient. Divide 8/2 to get 4, which is an example of a quotient.

To estimate the quotient of 28 and 0.48, we can round 0.48 to the nearest whole number and 28 to the nearest ten.

0.48 is closer to 0 than 1, so we round it down to 0.

We just round up to 30 because 28 is nearer to 30 than 20.

Now we have:

28 ÷ 0.48 ≈ 30 ÷ 0 = undefined

Any number divided by zero is undefined, so the quotient is not a real number. It is not greater or less than 56, because it does not exist.

Therefore, the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

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Answer: A = 18 in²

Step-by-step explanation:

    To find the area, we will use this formula:

         A = LW

➜ A = Area

➜ L = Length

➜ W = Width

    We will substitute known values and solve by multiplying.

         A = LW

         A = (6 in)(3 in)

         A = 18 in²

real solutions or roots or zeros from a graphic standpoint, are simply the x-intercepts, because that's what a zero or root is, nothing but an x-intercept, hmm well, from the picture above, how many times does the graph touch the x-axis?  hell, is really above it, it never touches it, so it doesn't have any real solutions.

The employee's commission on the sales of clothing sold would be R360.

Therefore, the inequality simplifies to u ≤ 27.

Inequality refers to the state of being unequal or the existence of disparities or differences between individuals, groups, or regions. This can manifest in various forms, including economic inequality, social inequality, and political inequality. Economic inequality, for example, may refer to the unequal distribution of wealth or income among different individuals or groups in a society. Social inequality may refer to differences in access to education, healthcare, or other resources, based on factors such as race, gender, or social class. Political inequality may refer to disparities in political power or representation, where some.

The inequality 25 ≥ u - 2 can be simplified by adding 2 to both sides to isolate the variable "u":

25 + 2 ≥ u - 2 + 2

27 ≥ u

Therefore, the inequality simplifies to u ≤ 27.

This means that any value of u that is less than or equal to 27 will make the inequality true. For example, u could be 27, 10, -5, or any number less than or equal to 27. However, if u is greater than 27, the inequality will be false.

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