please help!! law of sines and cosines related

Answer: 72 meters

Step-by-step explanation: The formula for the area of a square is

Length x Width = Area. The width is 6. Double of six is 12. 12 x 6 =72.

Answer:

Expansion

Contraction

Expansion

Contraction

Step-by-step explanation:

The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction

Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.

Given are scale factors,

Scale factor symbolized by k,

We know that, when k > 1, the figure expands or enlarge.

When k < 1, the figure reduces or contract.

And when k = 1, the figure is congruent to the dilation.

1) -5 = (contraction)

1 > -5, therefore, figure is contraction.

2) -1/4 = (contraction)

1 > -1/4, therefore, figure is contraction.

3) 3.5 = (expanding)

1 < 3.5, therefore, figure is expanding.

4) 6/7 = (contraction)

6/7 = 0.8571 < 1, therefore, figure is (contraction)

Hence,  -5 = (contraction),  -1/4 = (contraction),  3.5 = (expanding) and 6/7 = (contraction)

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Answer: what shown below?

Step-by-step explanation:

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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Answer:

Unit price = 4.96/16 = 0.31

$0.31

Step-by-step explanation:

The unit price of the turkey is $0.13

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given;

Price of package of sliced turkey=$4.96

Number of slices in package= 16

Unit price= price of package/number of slices in package

               =4.96/16

               =0.31

Therefore, the value of each slice will be $0.13

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Answer:

$28.80

Step-by-step explanation:

Multiply $24 by 20% (0.20)

24 x 0.2 = 4.80

So, the tip is $4.80

Add the tip to the price of the tab

24 + 4.8 = 28.8

So the overall price of the restaurant tab is $28.80

Hope this helps :)

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Answer:

d=90* e=54* f=126*

Step-by-step explanation:

plz crown

Answer:

d = 90

e = 54

f = 126

Step-by-step explanation:

Have a nice day!

Thus answer is ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

To verify if two functions u(x) and v(x) are orthogonal on the interval [−1,1], we need to check if their inner product over that interval is zero. The inner product of two functions u(x) and v(x) is given by:

⟨u,v⟩ = ∫[−1,1] u(x)v(x) dx

Let's calculate the inner product and check if it equals zero:

∫[−1,1] u(x)v(x) dx = ∫[−1,1] (x^3 - x) (3x^2 + 1) dx

Expanding and integrating:

∫[−1,1] (3x^5 + x^3 - 3x^3 - x) dx = ∫[−1,1] (3x^5 - 2x^3 - x) dx = 0

Since the inner product is zero, we can conclude that the functions u(x) and v(x) are orthogonal on the interval [−1,1].

Next, let's calculate the norms of u(x) and v(x):

∥u(x)∥ = √(∫[−1,1] (x^3 - x)^2 dx) = √(52/5) = √(260/25) = 2√(13/5) = 2√(65)/5

∥v(x)∥ = √(∫[−1,1] (3x^2 + 1)^2 dx) = √(7/2)

Therefore, ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

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Answer:

  A.  4.40 square units

Step-by-step explanation:

The triangle is isosceles with base angles of 70°. The a.pex angle will be ...

  180° -2(70°) = 40°

The area of a triangle can be computed from two sides and the angle between them as ...

  A = (1/2)ab·sin(γ)

  A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . .  square units

Hi There~

please refer to the above attached file.

Hope it helps ~

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- mercurialmural

Answer:2/16

Step-by-step explanation:

Answer:

= 64

do u need the working out?

The probability of drawing a red ball from box 2 after the transfer is 4/7.

After transferring one red ball from box 1 to box 2, box 2 contains a total of 7 balls. Out of these 7 balls, 4 are red (3 from box 2 initially and 1 transferred from box 1) and 3 are white (3 from box 2 initially and none transferred from box 1). Therefore, the probability of drawing a red ball from box 2 is given by the ratio of red balls to the total number of balls in box 2, which is 4/7.

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Answer:

0.136

Step-by-step explanation:

Answer:

3/22

Step-by-step explanation:

for decimal dorm it is 0.136

Answer:

Step-by-step explanation:

your answer wold be 1,484

With probability we can predict that, Bennet will select a red marble about 60 times in 200 draws, which corresponds to option C.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain.

The probability of selecting a red marble on any given draw is the number of red marbles divided by the total number of marbles in the bag:

P(Red) = 15 / (8 + 7 + 15 + 20) = 15 / 50 = 0.3

Since Bennet is replacing the marble after each selection, each draw is independent and has the same probability of selecting a red marble. Therefore, the number of red marbles selected in 200 draws follows a binomial distribution with n = 200 (the number of trials) and p = 0.3 (the probability of success on each trial).

The expected value of the number of red marbles selected can be found using the formula:

E(X) = np

where X is the number of red marbles selected, n is the number of trials, and p is the probability of success on each trial.

Substituting the values we get:

E(X) = 200 * 0.3 = 60

Therefore, we can predict that Bennet will select a red marble about 60 times in 200 draws, which corresponds to option C.

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The bottleneck time is 18.18%. Therefore, option A is the correct answer.

In economics terms, the bottleneck is a chain of supply of resources that wants the most extended time in the supply chain operation for specific demand. It also evaluated to estimate the supply chain throughput.

Through put time = Sum of all times=1+2+3+4+5+6+7+8+9+10=55

Given,

Assembly line has 10 stations

Throughput time is 55

The formula for bottleneck time is:

Bottle neck time = Total stations/Throughput time ×100

= 10/55 ×100

= 18.18%

The bottleneck time is 18.18%. Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

An assembly line has 10 stations with times of 1, 2, 3, 4,...,10, respectively. What is the bottleneck time?

a. 18.18% of the throughput time

b. 100% of the throughput time

c. 550% of the throughput time

d. 50% of the throughput time

e. 1.82% of the throughput time

Answer:

\(x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2\)

Step-by-step explanation:

I just showed my work process in the pictures.

Answer:

p < 9

Step-by-step explanation:

5p-13<32

Subtract 13 from both sides.

5p<45

divide 5 from both sides

p < 9

Answer: <C = 32, <D = 80, <DEC = 68

Step-by-step explanation:

First, the exterior angle DEF equals the sum of the two other interior angles that are not adjacent to it, meaning that the angle DEF equals the sum of angles DCE and EDC.

Therefore, you get the equation

2y+8+6y+8=112

8y+16=112

8y = 96

y = 12

Since y is 12, let's use this to find the measure of the other angles.

DCE = 2y+8 = 32

EDC = 6y+8 = 80

Angle DEC equals 180 - 112 = 68

Answer:

x = (8-6i)/10

x = (8+6i)/10

Step-by-step explanation:

Answer:

12173

Step-by-step explanation:

    1 21  73      

3 | 365²19

Long division:

Starting from the first digit of the number being divided (i.e. 36519), move along dividing each digit by 3;

If the digit cannot be divided by 3 perfectly, the remainder should be in the next position of value to the next digit in the sequence, so for the above calculation:

First digit is 3, 3/3 = 1, so write the number 1 above;

There is no remainder so simply move to next digit;

The second digit in the number is 6, 6/3 = 2, so write 2 above, next to the previous 1;

Once again, no remainder so move on;

Third digit is 5, 5/3 = 1 with a remainder of 2, so we write 1 above, next to the previous 2 and the remainder of 2 will be placed before the next digit in the number, which is 1;

Understand, this 2 is not to be added to the digit, like 1 + 2, but rather should be added at the next higher position of value (i.e. multiplied by 10), so it will be 1 + 20, which is 21;

Now, we continue as previously, 21/3 = 7, so 7 should be written above, next to the 1;

There is no remainder, so move on;

Last digit is 9, 9/3 = 3 so this written next to the 7 above;

There is no remainder;

There are no more digits and no remainder to deal with so the division is complete;

The number above is the answer.

Answer:

a 2.009, 2.15, 2.7

b 3.2, 3.342, 3.45

c 17.05, 17.1, 17.125, 17.42

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

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Answer:

x  = 3\(\sqrt{2}\)

step-by step:

x -√2=√8

x = \(\sqrt{12}\)

x = \(\sqrt{6 * 2}\)

x = \(\sqrt{2 * 2 * 3}\)

x  = 3\(\sqrt{2}\)

Answer:

x = 3 sqrt(2)

Step-by-step explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8)  as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)

The dot product of vectors a and b is 8. The angle between vectors a and b is 90 degrees. The cross product of vectors a and b is [6, -34, -12]. The unit vector in the direction of vector a is [0.845, -0.241, 0.241].

The dot product of two vectors a and b is calculated by multiplying their corresponding components and summing them up. For vectors a-[7, -2, 2] and b-[-7, -1, 4], the dot product is (7 * -7) + (-2 * -1) + (2 * 4) = 49 + 2 + 8 = 59.

The angle between two vectors can be found using the formula:

cos(theta) = (a dot b) / (|a| * |b|)

In this case, |a| is the magnitude of vector a and |b| is the magnitude of vector b. Since both vectors have the same magnitude of sqrt(7^2 + (-2)^2 + 2^2) = sqrt(53), the equation simplifies to:

cos(theta) = (a dot b) / (53)

The angle theta can be found by taking the inverse cosine of cos(theta). In this case, the angle between vectors a and b is 90 degrees.

The cross product of two vectors a and b is calculated using the formula:

d = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1)

For vectors a-[7, -2, 2] and b-[-7, -1, 4], the cross product is:

d = (2 * (-1) - 2 * 4, 2 * (-7) - 7 * 4, 7 * (-1) - (-2) * (-7))

= (-2 - 8, -14 - 28, -7 - 14)

= (-10, -42, -21)

To find the unit vector in the direction of vector a, we divide vector a by its magnitude:

|a| = sqrt(7^2 + (-2)^2 + 2^2) = sqrt(53)

Unit vector = a / |a| = [7/sqrt(53), -2/sqrt(53), 2/sqrt(53)] = [0.845, -0.241, 0.241]

Therefore, the dot product of vectors a and b is 59, the angle between vectors a and b is 90 degrees, the cross product of vectors a and b is [-10, -42, -21], and the vector in the direction of vector a is [0.845, -0.241, 0.241].

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The length of the other diagonal is 22.36 cm.

Diagonal is defined as a sloping line or the slant line, that connects to the vertices of a shape.

Let's call the length of the other diagonal "d".

Since a rhombus has perpendicular diagonals that bisect each other

we can use the Pythagorean theorem to find the length of the other diagonal:

d^2 = 10^2 + 10^2 = 100

d = sqrt(100) = 10 * sqrt(10) = 10 * 2.236 = 22.36 cm

Therefore, the length of the other diagonal is 22.36 cm.

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Answer: infinite solutions

Step-by-step explanation:

(−3) (4) + (−3) (−3x) = 9x + −12

−12 + 9x = 9x + −12

9x − 12 = 9x − 12

9x − 12 − 9x = 9x − 12 − 9x

−12 = −12

−12 + 12 = −12 + 12

0 = 0