For trapezoid A B C D, S and T are midpoints of the legs.

If A B=3 x, S T=15 , and C D=9 x , find x .

The area of the shaded region in the given image is approximately 113.10 square units.

To find the area of the shaded region in the given image, we need to subtract the area of the smaller circle from the area of the larger circle.

First, we need to find the radius of the larger circle. We can do this by using the Pythagorean theorem to find the length of the diameter of the circle, which is also the length of the side of the square.

The side of the square is 12, so the diagonal is:

√(12² + 12²) = √(288) = 12√2

So the diameter of the circle is 12√2, and the radius is half of that, which is 6√2.

Now we can find the area of the larger circle:

A = πr² = π(6√2)² = 72π

Now we can find the area of the smaller circle:

A = πr² = π(6)² = 36π

Finally, we can find the area of the shaded region:

A(shaded) = A(larger circle) - A(smaller circle) = 72π - 36π = 36π

Rounding to the nearest hundredth, the area of the shaded region is approximately 113.10 square units.

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Answer:

F(5) = 5

Step-by-step explanation:

F(5) = 2(5) - 5

F(5) = 10 - 5

F(5) = 5

Answer:

25%

Step-by-step explanation:

Number of favorable outcomes 4

Total number of outcomes=4+5+2+3+2=16

4/16=0.25

0.25x100=25

25%

​

Answer:

(4,5) (4,8)(4,6)

Step-by-step explanation:

So now you're reflecting over the horizontal line that passes through the point (0,5)

:))

Step-by-step explanation:

(4,5),(4,6),(4,8)

the answer is this!

Answer: 62

Step-by-step explanation:

Since the triangle adds to 180

Subtract the 2 angles from 180

put in your calculator 180-70-48=

x=62

Answer:

E[X|Y = y] = E[X] (by the definition of independence)

Step-by-step explanation:

To show that E[aX + bY + c] = aE[X] + bE[Y] + c, we can use the linearity of the expected value:

E[aX + bY + c] = E[aX] + E[bY] + E[c] (by linearity of E[ ])

= aE[X] + bE[Y] + c (since E[c] = c for any constant c)

To show that Var(aX + bY + c) = aVar(X) + 2abCov(X, Y) + b2Var(Y), we can use the definition of variance:

Var(aX + bY + c) = E[(aX + bY + c - E[aX + bY + c])^2]

= E[((aX - aE[X]) + (bY - bE[Y]) + c)^2]

= E[(aX - aE[X])^2] + E[(bY - bE[Y])^2] + E[c^2]

+ 2aE[(aX - aE[X])(bY - bE[Y])] + 2cE[aX - aE[X]] + 2cE[bY - bE[Y]]

= a^2 E[(X - E[X])^2] + b^2 E[(Y - E[Y])^2] + c^2 + 2abE[(X - E[X])(Y - E[Y])]

+ 2ac(aE[X] - aE[X]) + 2bc(E[Y] - E[Y])

= aVar(X) + b^2Var(Y) + 2abCov(X, Y)

Finally, if X and Y are independent, then Cov(X, Y) = 0, so:

E[X|Y = y] = E[X] (by the definition of independence)

This means that the expected value of X given a particular value of Y is simply the expected value of X, regardless of the value of Y.

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Answer:

the first one

Step-by-step explanation:

absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.

Answer:

It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.

Step-by-step explanation:

Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)

The value of b of the equation is -9/5

Given that: line JK passes through points J(-4,-5) and K(-6,3) and if the equation of the line is written in slope-intercept form, y=mx+b

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system

Using the y-y₁/y₂-y₁ = x-x₁/x₂-x₁

where (x₁, y₁) = (-4,-5) and (x₂, y₂) = (-6,3), the equation is:

y-(-5) / 3-(-5) = x-(-4)/-6-(-4)

y+5 / 3+5 = x+4 /6+4

(y+5)/8 =  (x+4)/10       cross multiply:

10(y+5) = 8(x+4)

10y + 50 = 8x + 32

10y = 8x +32 - 50

10y = 8x - 18

y = 8x/10 - 18/10

y = 4x/5 - 9/5

Comparing y = 4x/5 - 9/5 with y=mx+b

b = -9/5

Therefore, the value of b is -9/5

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Answer:

His interest is $2340 his total is $8840

Step-by-step explanation:

Answer:2340$

Step-by-step explanation:

1. Do 6500x 0.09 to get 585

2. Then multiply it by 4 since it is his interest rate for 4

3. 585x4=2340

Answer:

y² = 36x

Step-by-step explanation:

Parabola opens right.

Thus equation is from; y² = 4ax

And focus is at (a, 0)

Since we are given focus at (9, 0),it implies that a = 9

Thus, equation of parabola is;

y² = 4 × 9 × x

y² = 36x

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Answer:

90 counterclockwise or 270 clockwise

Step-by-step explanation:

just trust me bro lolskies

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

Explanation:

Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.  

It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.

Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.

We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.

Answer:$300

divide any one of the outcomes and it should equal 300. something that might help is removing the zeros. 6 divided by 2 is 3. you them add the zeros you took off back on and get 300.

Answer:

m<a=41º

Step-by-step explanation:

a triangle has 180º total

180-98=82

since O is the center that makes OQ and OP radii and as such they are equally distanced

this means that the m<a and the measure opposite it are equal

so ÷82 by 2

a=41

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

On solving the provided question, we can say that by trigonometry so sin 90 = p/h => y = 19

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures

here,

it is a right angled triangle

by trigonometry

so sin 90 = p/h

1 = 19/y

y = 19

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Answer:

35 average minutes at practice.

Step-by-step explanation:

Answer:

What do I find?

If it's the mean then the answer is 35.

Step-by-step explanation:

34, 30, 45, 30, 40, 38, 28 ==> 7 numbers

34+30+45+30+40+38+28=245

245/7=35

Answer:

10x + 3

Step-by-step explanation:

(A tip: separate them. I put one line under the x´s and two under the numbers)

x + 2x + 7x = 10x (add the numbers and put x at the end)

1 + 1 + 1 = 3

Answer:

=20x+2

If im wrong correct me and plus cant explain it because im in a rush

Answer:

Quadrant III or 3rd quadrant

Step-by-step explanation:

( - 3, - 9 ) is located in 3rd quadrant.

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

a) The coordinates of K' after the translation are given as follows: K'(-2,3).

b) The coordinates of M' after the translation are given as follows: M'(-4, 1).

The four translation rules are defined as follows:

From the vector, the composite translation rule in this problem is given as follows:

(x,y) -> (x - 6, y + 2).

The coordinates of K and M are given as follows:

K(4,1), M(2,-1).

Hence the coordinates of the translated vertices are obtained applying the operation as follows:

K'(-2, 3) and M'(-4, 1).

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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The value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

According to the question,

We have the following expression:

2w+4x

We have the following values of w and x:

w = 4 and x = 5

Now, in order to find the value of the given expression, we will put these values in the expression.

So, we have this:

2*4+4*5

Now, we will first multiply the integers and then we will add the obtained results together:

8+20

28

Hence, the value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

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Answer:

=−5x−3

Step-by-step explanation:

Let's simplify step-by-step.

−x−x−3x+2−5

=−x+−x+−3x+2+−5

Combine Like Terms:

=−x+−x+−3x+2+−5

=(−x+−x+−3x)+(2+−5)

=−5x+−3

brainliest please?

The final answer to the given question is that the  simple interest is $ 40 and the amount is $ 680

As per the given data

Principal (P) = $ 640

Rate of interest (R) = 12¹/2% p.a.

Time (T) = 6 months

Simple interest (S I) =?

Amount (A) =?

so, we know that the simple interest = PxRxT

so here we need to convert both time and as well as the rate of interest into the years and annual rate.

Therefore,

Rate of interest (R) = 12.5% p.a. = 0.125 [ 12+0.5/100]

Time (T) = 6 months = 0.5 years [6/12]

Simple interest (S I) can be calculated using the formula:

S I = P x R x T

Substituting the  Principal (P), Rate of interest (R), and Time (T), we get:

SI = 640 x 0.125 x 0.5

SI =  = $ 40

Amount (A)  as per the given problem can be calculated using the formula:

Amount (A)  = Principal (P)+simple interest (SI)

Substituting the values of P and SI, we get:

Amount (A) = 640 + 40

Amount (A) =  = $ 680

Therefore, the simple interest is $ 40 and the amount is $ 680

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The value of \(\(\sin(t)\tan(t)\)\) is \(If \(\tan(t) = \sin(t) = \frac{144}{145}\) and \(\cos(t) < 0\)\), then \(\(\tan(t) = \frac{144}{145}\) and \(\cos(t) = -\frac{1}{145}\).\)

(a) To find the value of\(\(\sin(t)\tan(t)\)\), we can use the identity \(\(\tan(t) = \frac{\sin(t)}{\cos(t)}\)\). Substituting this into the expression, we have \(\(\sin(t)\tan(t) = \sin(t)\left(\frac{\sin(t)}{\cos(t)}\right)\)\). Simplifying, we get \(\(\sin(t)\tan(t) = \frac{\sin^2(t)}{\cos(t)}\)\). Since the Pythagorean identity states that \(\(\sin^2(t) + \cos^2(t) = 1\)\), we have \(\(\sin^2(t) = 1 - \cos^2(t)\).\) Substituting this into the expression, we get \(\(\sin(t)\tan(t) = \frac{1 - \cos^2(t)}{\cos(t)}\)\). Using the identity \(\(\tan(t) = \frac{\sin(t)}{\cos(t)}\)\), we can rewrite the expression as \(\(\sin(t)\tan(t) = \frac{1}{\cos(t)}\)\). Since \(\(\sec(t) = \frac{1}{\cos(t)}\)\), we have \(\(\sin(t)\tan(t) = \sec(t)\)\). Therefore, the value of\(\(\sin(t)\tan(t)\) is \(1\)\).

(b) Given \(\(\tan(t) = \sin(t) = \frac{144}{145}\)\) and \(\(\cos(t) < 0\)\), we know that \(\(\cos(t)\)\)is negative. Using the Pythagorean identity \(\(\sin^2(t) + \cos^2(t) = 1\)\), we can substitute\(\(\sin(t) = \frac{144}{145}\)\) to find \(\(\cos^2(t) = 1 - \left(\frac{144}{145}\right)^2\)\). Simplifying, we get \(\(\cos^2(t) = \frac{1}{145^2}\)\). Since \(\(\cos(t)\)\) is negative, we have \(\(\cos(t) = -\frac{1}{145}\)\). Similarly, since \(\(\tan(t) = \sin(t)\)\), we have \(\(\tan(t) = \frac{144}{145}\)\). Therefore, \(\(\tan(t) = \frac{144}{145}\) and \(\cos(t) = -\frac{1}{145}\)\).

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Answer:

over the interval [2,3)

for an input value of 1.5, the corresponding output value is -2

Step-by-step explanation:

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3