11. Solve the triangle then round the answers to the nearest tenth.С840550A11 ydB

| x^2 + 6x+1| = 8

There are two solutions to an absolute value equation, one positive and one negative

x^2 +6x+1 =8 and x^2 +6x + 1 =-8

We have to solve both sets of equations

x^2 + 6x +1 = 8

Subtracting 8 from each side

x^2 +6x +1 -8 =0

x^2 +6x -7 =0

Factoring

What two numbers multiply to -7 and add to 6

-1 *7 = -7

-1 +7 = 6

These are the factors that we use ( -1 and 7)

( x-1) (x+7)=0

Using the zero product property

x-1 =0 x+7 =0

x=1 x=7

Now

x^2 +6x + 1 =-8

Add 8 to each side

x^2 +6x + 1+8 =0

x^2 + 6x+9 =0

Factoring

(x+3) (x+3) =0

Using the zero product property

x+3 =0 x+3 =0

x=-3

The solutions are

x=-3, x=1 , x=-7

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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Answer:

9 ft

Step-by-step explanation:

Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls

Mathematically, the area of a square is L^2

The height of the walls is just as one of its side

Thus;

L^2 = 84

L = √(84)

L = 9.165

which to the nearest foot is 9 ft

Answer: they are both absolute value numbers

Step-by-step explanation:

|76| = 76

|43| = 43

the difference between them is 33

Answer:

84 degree

Step-by-step explanation:

the new supposed line is parallel to the given parallel lines..

Answer:

18

Step-by-step explanation:

The range is the highest data minus the smallest data.

Hence range is 27 - 9 = 18.

Answer:

Zero

Step-by-step explanation:

Any equation that is y = a number, you have a horizontal line, with a zero slope, think of HOY, H(orizontal) O=zero Y=#

The relationship between consecutive angles a and b is a° + b° = 180°

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilaterals are square, rectangle, parallelogram, kite etc.

A parallelogram is a quadrilateral in which opposite sites are equal and parallel to each other. All the angles sum up to 360 degrees and the diagonals bisect each other.

The opposite angles of a parallelogram are equal to each other while the consecutive angles are supplementary. Also, the perimeter is gotten by adding all the individual sides

a° + b° = 180° (consecutive angles)

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Therefore, These proportions can be used to find KL.

\($\rm {\frac{A B}{J K}}={\frac{B C}{K L}}$\) and \($ \rm {\frac{12}{2a}}={\frac{10}{KL}}$\)

A triangle is a clοsed, dοuble-symmetrical οbject cοmpοsed οf three line segments knοwn as sides that intersect at three pοints knοwn as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factiοns equal), isοsceles, οr scalene based οn their sides. Triangles are classified as acute (all angles are less than 90 degrees), οkay (οne angle is equal tο 90 degrees), οr οrbicular (all angles are greater than 90 degrees) (all angles greater than 90 degrees). The regiοn οf a triangle can be calculated using the fοrmula A = (1/2)bh, where an is the neighbοurhοοd, b is the triangle's base, and h is the triangle's height.

Due tο the similarity οf triangles ABC and JKL, their cοrrespοnding sides are prοpοrtiοnal. As a result, we can calculate KL using any οf the fοllοwing prοpοrtiοns:

BC/AC = KL/JL

BC/AB = KL/JK

JL/AC = KL/BC

JK/AB = KL/BC

All four proportions are correct and can be used to calculate KL.

Therefore, These proportions can be used to find KL.

\($\rm {\frac{A B}{J K}}={\frac{B C}{K L}}$\) and \($ \rm {\frac{12}{2a}}={\frac{10}{KL}}$\)

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The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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Answer:

Firstly multiply 39 times 39 which will give you 1071 and that is your answer.

The first equation represents the sum of Y values as a linear function of X and X², while the second equation represents the sum of the product of X and Y values as a linear function of X² and X³. Therefore, the best estimate of Y corresponding to x = 62 is approximately 17.8. Since the slope (b₁) is negative (-0.6), it suggests a negative relationship between X and Y. However, to determine the strength of the correlation, we need the correlation coefficient (r).

i) The two normal equations of the regression line of Y on X are:

Y = aX + bX²

XY = aX² + bX³

These equations are used to determine the coefficients a and b in the equation of the regression line (Y = a + bX) that best fits the relationship between X and Y. The first equation represents the sum of Y values as a linear function of X and X², while the second equation represents the sum of the product of X and Y values as a linear function of X² and X³. By solving these equations, we can find the values of a and b, which define the regression line.

ii) To draw a scatter diagram supporting the finding of a strong negative correlation between X and Y, we would need the actual data points of X and Y. Without the specific data points, it is not possible to draw a scatter diagram to visually demonstrate the negative correlation between the two variables.

iii) Given the following results:

b₁ = (-0.6) (the slope of the regression line)

Sy.x = 30 (standard error of estimate)

Sx = 20 (standard deviation of X)

xi/20 = 45 (mean of X)

yi/20 = 28 (mean of Y)

To determine the best estimate of Y corresponding to x = 62, we can use the equation of the regression line:

Y = a + bX

Substituting the values we have:

Y = (28) + (-0.6)(62 - 45)

Y = 28 - 0.6(17)

Y = 28 - 10.2

Y ≈ 17.8

Therefore, the best estimate of Y corresponding to x = 62 is approximately 17.8.

iv) To check if these results support a strong negative correlation between the two sets of observations, we can examine the value of the slope (b₁) and the strength of the correlation coefficient (r).

Since the slope (b₁) is negative (-0.6), it suggests a negative relationship between X and Y. However, to determine the strength of the correlation, we need the correlation coefficient (r).

If the correlation coefficient (r) is close to (-1), it would indicate a strong negative correlation. To assess this, we would need additional information about the correlation coefficient or the data points to calculate it. Without this information, we cannot conclusively determine if the results support a strong negative correlation between the two sets of observations.

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Answer:

5

Step-by-step explanation:

There are five inequality symbols used to represent equations of inequality. These are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

The amount of plastic covering needed to cover the window is 25.71.

The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.

Circumference of the semi circle = 1/2πd + d

Where:

π = 3.14

d = diameter = 3

1/2 x 3.14 x 3 + 3 = 7.71

Perimeter of the rectangle = 2(length + width)

2x (6 + 3) = 18

18 + 7.71 = 25.71

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In this carnival game, a player flips a coin that has a 3 on one side and a 7 on the other, and then rolls a number cube that has numbers 1-6.

To determine the probabilities, we need to analyze each event separately and then use the multiplication rule of probability to find the probability of both events happening together.

The probability of getting a 3 on the coin is 50%, since there are only two possible outcomes. The probability of rolling each number on the cube is 16.67%, since the cube has six sides.

The probability of both events happening together depends on the individual probabilities and is found by multiplying them. Finally, we can use the addition rule of probability to find the probability of either event happening.

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Answer: 1.5

Step-by-step explanation:

when you subtract

integers you have too  subtract like normal  

Answer:

5 and 2/3

Step-by-step explanation:

17/3 = 17 - 3 = 14

1

14 - 3 = 11

2

11 - 3 = 8

3

8 - 3 = 5

4

5 - 3 = 2

5

So it’s 5 2/3

Answer:

3C1 * 7C6 * 3C2 * 3C3

Step-by-step explanation:

Dado que solo tres saben cómo conducir, de estos tres uno estará en la posición de conducción, por lo tanto, el número de formas en que este conductor puede elegir entre estos tres es 3C1 * 7C6

Ahora, 2 de los conductores se sentarán en los asientos de los pasajeros junto con otros tres 3C2 * 3C3

Número total de oportunidades = 3C1 * 7C6 * 3C2 * 3C3

Step-by-step explanation:

See below

Answer:

\( \frac{5}{n + 3} \)

Step-by-step explanation:

\(1. \: 5 \times \frac{1}{n + 3} \\ 2. \: \frac{5}{n + 3} \)

The mean absolute deviation (MAD) of the numbers 0.1, 0.15, 0.09, 0.11, and 0.13 is 0.0215. This means that, on average, the numbers are 0.0215 away from the mean, which is 0.11.

To find the MAD, we first calculate the mean (average) of the numbers, which is (0.1 + 0.15 + 0.09 + 0.11 + 0.13) / 5 = 0.118. Then, for each number, we find the absolute difference between that number and the mean. The differences are: 0.018, 0.032, 0.028, 0.008, and 0.012.

Taking the average of these absolute differences gives us the MAD, which is 0.032. The MAD represents the average amount by which each data point deviates from the mean, providing a measure of the dispersion or spread of the data set.

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(a) To find the limit as x approaches -4 of the expression (2x² - 1) / (2x - 4), we can substitute the value of x and see what the expression approaches:

lim(x→-4) [(2x² - 1) / (2x - 4)]

Substituting x = -4:

[(2(-4)² - 1) / (2(-4) - 4)] = [(-32 - 1) / (-8 - 4)] = (-33 / -12) = 11/4

Therefore, the limit as x approaches -4 is 11/4.

(b) To find the limit as x approaches 2 of the expression (2x² - 4) / (x² - 1 - 2), we can substitute the value of x and see what the expression approaches:

lim(x→2) [(2x² - 4) / (x² - 1 - 2)]

Substituting x = 2:

[(2(2)² - 4) / (2² - 1 - 2)] = [(8 - 4) / (4 - 1 - 2)] = [4 / 1] = 4

Therefore, the limit as x approaches 2 is 4.

(c) To find the limit as x approaches ±∞ of the expression (±2 + 2) / (2² - 4), we can simplify the expression and see what it approaches:

lim(x→±∞) [(±2 + 2) / (2² - 4)]

Simplifying the expression:

lim(x→±∞) [±4 / (4 - 4)]

Since the denominator is 0, we have an indeterminate form. However, if we look at the numerator, it can take two possible values: +4 and -4, depending on the sign chosen.

Therefore, the limit as x approaches ±∞ does not exist.

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Answer:

i) the length is 10cm

ii) the perimeter is 36 cm

Step-by-step explanation:

i) We know that Area of a rectangle can be found by using the following formula...

A = l x w

(where A is area of the triangle, l is the length of the triangle, and w is the width of the rectangle).

From this we know that

l = A/w

\(l = 80cm^{2} / 8cm = 10cm\)

ii) Now that we know both the length and the width we know we can find the perimeter by using the following formula...

P = 2(l + w)

\(P = 2(10cm+ 8cm )\\P = 20cm + 16cm\\P = 36cm\)

Answer:

it 31 for sure but if not that than some thing is wrong

Step-by-step explanation:

15+12+4=31

x1 and x2 are uncorrelated random variables.

Given that y1 and y2 are independent random variables with mean 0 and variance σ^2, and x1 and x2 are related to y1 and y2 as follows:

x1 = y1 and x2 = ρy1√(1-ρ^2)y2

We can find the mean and variance of x1 and x2 as follows:

Mean of x1:

E(x1) = E(y1) = 0 (since y1 has mean 0)

Variance of x1:

Var(x1) = Var(y1) = σ^2 (since y1 has variance σ^2)

Mean of x2:

E(x2) = ρE(y1)√(1-ρ^2)E(y2) = 0 (since both y1 and y2 have mean 0)

Variance of x2:

Var(x2) = ρ^2Var(y1)(1-ρ^2)Var(y2) = ρ^2(1-ρ^2)σ^2 (since y1 and y2 are independent)

Now, let's find the covariance between x1 and x2:

Cov(x1, x2) = E(x1x2) - E(x1)E(x2)

= E(y1ρy1√(1-ρ^2)y2) - 0

= ρσ^2√(1-ρ^2)E(y1y2)

= 0 (since y1 and y2 are independent and have mean 0)

Therefore, x1 and x2 are uncorrelated random variables.

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Answer:

$275

Step-by-step explanation:

Add 250+25 which equals 275

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

20

Step-by-step explanation:

4+40-3(8)

44-24

20

Answer: 20

Step-by-step explanation:

(2)^2+4(10)-3(10-2)

PEMDAS!

(2)^2+4(10)-3(8)

4+4(10)-3(8)

4+40-24

44-24

20

To determine how much the volume of the rectangular prism increases when the height is increased by 1 cm, we need to calculate the difference in volumes between the two configurations.

The volume V of a rectangular prism is given by the formula:

V = B * h

where B represents the area of the base and h represents the height.

When the height is increased by 1 cm, the new height becomes (h + 1) cm. The new volume, V', is given by:

V' = B * (h + 1)

To find the increase in volume, we subtract the original volume V from the new volume V':

Increase in volume = V' - V

Substituting the expressions for V and V', we have:

Increase in volume = (B * (h + 1)) - (B * h)

Simplifying, we get:

Increase in volume = B * h + B - B * h

The term B * h cancels out, leaving us with:

Increase in volume = B

Therefore, the increase in volume when the height is increased by 1 cm is equal to the area of the base B.

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Moving on to step 20, you need to take a screenshot issues of the tools menu. This can usually be accessed by clicking on the "Tools" option in the menu bar of the program or application you are using.

To take a  of the tools menu in step 20, you can follow these steps:Open the tools menu in the desired application or software.Press the "Print Screen" (PrtSc) button on your keyboard. This will capture a screenshot of your entire screen.

Open an image editing software or any program that allows you to paste imagesPaste the screenshot by pressing "Ctrl" + "V" on your keyboard.Save the image in your desired format.

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