if each quadrilateral below is a rectangle find the missing measures

Answer:

Your question doesn’t make sense homie

Step-by-step explanation:

The area of the shaded region is 27.53 cm².

Here, we ahve,

from the given information, we get,

It is given that,

radius of the semicircle = the width of the rectangle =  8cm

diameter of the semicircle = the length of the rectangle = 16 cm

The area of the semicircle is calculated as,

area = πr²/2

       = π8²/2

       = 100.48 cm²

The area of the rectangle is calculated as,

area = l * w

        = 16 * 8

        = 128 cm²

The area of the shaded region is calculated as,

area of the shaded region is:

= The area of the rectangle - The area of the semicircle

=128 cm² -  100.48 cm²

= 27.53 cm²

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complete question:

a rectangle is placed around a semicircle as shown below. the width of the rectangle is 8cm . find the area of the shaded region.

attached:

Answer:

y=3x+2

Step-by-step explanation:

find slope w/ point slope formula

Answer:

a.\(R=10-24t\)

b.\(B=6+6t\)

Step-by-step explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

\(Distance=speed\times time\)

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

\(R=10-24\times t\)

\(R=10-24t\)

b.

Distance of the blue bike from Lawrence

\(B=6+6\times t\)

\(B=6+6t\)

Answer:

A. 5

Step-by-step explanation:

Based on the secant and tangent theorem, (4 + x)*4 = 6²

We can solve for x using the equation which describes the relationship between secant and tangents.

Thus,

\( (4 + x)*4 = 6^2 \)

\( 4*4 + x*4 = 36 \)

\( 16 + 4x = 36 \)

Subtract 16 from both sides

\( 4x = 36 - 16 \)

\( 4x = 20 \)

Divide both sides by 4

\( \frac{4x}{4} = \frac{20}{4} \)

\( x = 5 \)

Answer:

To find the cost per yard, divide the cost by the amount:

p: 6.25 / 6.5 = 0.96  -->  The cost per yard is $0.96

r: 3 /4 = 0.75  -->  The cost per yard is $0.75

b: 8.1 /8.5 = 0.95  -->  The cost per yard is $0.95

s: 7.2 / 6 = 1.2  --> The cost per yard is $1.20

In order from cheapest to most expensive:

Red

Brown

Purple

Silver

Answer:

no proplem the answer is 60 with 48 is the compirng of the gsss

Step-by-step explanation:

Answer:

get smart

Step-by-step explanation:

dont come here again

The coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down are B'(-14, -11).

In Mathematics, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image.

On the other hand, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate of the pre-image.

By translating the pre-image of quadrilateral ABCD vertically down by 3 units and horizontally left by 5 units, the coordinates of B in triangle A'B'C' include the following:

(x, y)                               →                  (x - 5, y - 3)

Coordinate B = (-9, -8)   →    Coordinate B' = (-9 - 5, -8 - 3) = (-14, -11)

In conclusion, the coordinates of B' are (-14, -11).

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Complete Question:

Determine the coordinates of the image of point B of quadrilateral ABCD after the translation of 5 units to the left and 3 units down.

Answer: 10 and 25

Step-by-step explanation:

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

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Answer:

Step-by-step explanation:

NOSEEEEEE

The graph of the quadratic function y = 0.75x² is given by the image at the end of the answer.

The notation y = 0.75x² is already in vertex form, meaning that the function was vertically compressed by a factor of 3/4 from the original graph.

The definition of a quadratic equation with vertex (h,k) is given as follows:

y = a(x - h)² + k.

In which a represents the leading coefficient of the quadratic function.

In this problem the coordinates of the vertex are:

(0,0).

Hence the parameters are:

h = 0, k = 0.

Thus the equation is:

y = ax².

When x = -2, y = 3, hence the leading coefficient is given as follows:

3 = a(-2)²

4a = 3

a = 3/4

a = 0.75.

Hence the equation is:

y = 0.75x².

The multiplication by 0.75 means that the parent function y = x² is vertically compressed by a factor of 0.75.

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Least squares regression is a method that minimizes the sum of the squared distances between the points on the scatterplot and the regression line.

Least squares regression is a statistical method used to model the relationship between two variables. It is a type of linear regression that tries to find the line of best fit between a dependent variable and one or more independent variables.

The goal of least squares regression is to minimize the sum of the squared differences between the predicted values and the actual values of the dependent variable. The resulting line of best fit is the one that minimizes the sum of the squares of the differences between the predicted and actual values.

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The measure of the amount of random sampling error in a survey's result is known as margin of error.

The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.

In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.

A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.

By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.

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Answer:   1/8

1 goes in the green blank space

8 goes in the gray blank space

========================================================

Explanation:

H = heads

T = tails

HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.

Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).

We see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8

------------

Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip

Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.

And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

The x coordinate of P is \(\frac{4}{3}\).

Step-by-step explanation:

Let is find the rate of change of the equation in time, which consists in a composite differentiation. That is:

\(\frac{dy}{dt} = 2\cdot x \cdot \frac{dx}{dt} -2\cdot \frac{dx}{dt}\)

According to the statement of the problem, these variables are known:

\(\frac{dx}{dt} = 6\) and \(\frac{dy}{dt} = 4\)

Hence, the x coordinate of P is found by direct substitution:

\(4 = 2\cdot x \cdot (6)-2\cdot (6)\)

\(4 = 12\cdot x -12\)

\(x = \frac{4}{3}\)

The x coordinate of P is \(\frac{4}{3}\).

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Answer:

Well the slope of this is 49 and y intercept is 28, hooe this helped

Answer:

Slope: 2/2 = 1

y-intercept: 2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

2(5x + 8) = 6x + 20

Divide each side by 2

2/2(5x + 8) = 6x/2 + 20/2

5x+8 = 3x+10

Subtract 3x from each side

5x-3x +8 = 3x-3x+10

2x+8 = 10

Subtract 8 from each side

2x+8-8=10-8

2x=2

Divide by 2

2x/2 = 2/2

x=1

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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The statement "The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true." is true.

The p-value is a measure of the evidence in favor of the null hypothesis in statistical hypothesis testing. The null hypothesis is rejected if the p-value is less than the specified significance level. If the p-value is higher than the specified significance level, the null hypothesis is not rejected.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed, given that the null hypothesis is true.

The p-value can be used to make decisions about whether to reject or fail to reject the null hypothesis, but it cannot prove that the null hypothesis is true.

The p-value can also be used to determine the level of significance for a test.

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The probability of the horse winning the race is 0.95 when the odds of a horse winning a race are 20 to 1.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The three different categories of probabilities are axiomatic, experimental, and theoretical. Based on formulas and input quantities, the theoretical probability determines the likelihood. Based on the experimental values used in the computation, the experimental probability provides a realistic number. The results of theoretical and experimental probabilities frequently diverge. Additionally, the axiomatic probability is founded on the axioms that control probability notions.

Given,

The odds of a horse winning a race are 20 to 1.

The probability of the horse winning the race is:

20/21

0.95

The probability of the horse winning the race is 0.95 when the odds of a horse winning a race are 20 to 1.

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Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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here u go...........

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

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Answer:

37

Step-by-step explanation:

The equation of the tangent line to the curve \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at the point (1, 0) is y = (2/3)x - 2/3.

To find the equation of the tangent line to the curve at the point (1, 0), we need to find the slope of the tangent line and then use the point-slope form of a linear equation.
Let's differentiate \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) using the quotient rule:

\(y' = [(2x)(x^2 + x + 1) - (x^2 - 1)(2x + 1)] / (x^2 + x + 1)^2\)
Substituting x = 1 into the derivative expression:

\(y'(1) = [(2(1))(1^2 + 1 + 1) - (1^2 - 1)(2(1) + 1)] / (1^2 + 1 + 1)^2\)

        \(= [2(3) - (0)(3)] / (3)^2\)

        = 6/9

        = 2/3

Using the point-slope form y - y₁ = m(x - x₁), where (x₁, y₁) = (1, 0) and m = 2/3 we get,  
y - 0 = (2/3)(x - 1)

y = (2/3)x - 2/3

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁) where (x₁, y₁) is a point on the line, and m is the slope of the line.

Therefore, the equation of the tangent line to the curve y = (x^2 - 1) / (x^2 + x + 1) at the point (1, 0) is y = (2/3)x - 2/3.

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The complete question is:

Find an equation of the tangent line to the given curve at the specified point, \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at (1,0).

To evaluate a function with a specific value in the domain you susbtitute in the equation of the function the independient variable (x) for the value in domain.

For x = -1 (a number n powered to a negative number (m) n^-m is equal to 1/n^m

For x=0 (any number powered to 0 is equal to 1)

For x = 1

For x = 2

The city covers an area of 80.38 square kilometers.

To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.

Hence, the number of square kilometers in 31.2 mi² is calculated as follows:

1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)

Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:

31.2 mi² × 2.5921 km²/mi² = 80.38 km²

Therefore, the city covers an area of 80.38 square kilometers.

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