Use the Law of Sines to solve triangle ABC if LA = 43.1°, a = 183.1, and b = 242.8. sin B = (round answer to 5 decimal places) There are two possible angles B between 0° and 180° with this value fo

Brenna would take 20 min to cut the same wood into sixths.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the rate at which Brenna cuts the wood in a single piece,
So, She can cut a log into thirds in 10 min.
x = 3/10

x = 0.3 cuts per minute for single wood,

Now,
time took to cut the same wood into 6 pieces
= 6 / x
= 6 / 0.3
= 20 min

Thus, Brenna would take 20 min to cut the same wood into sixths.

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The solution for  -1/3-(-5/12) is 3/4

Adding and subtraction:

In Mathematics, Addition and subtractions are two basic operations. Addition means putting together or adding together; subtraction means taking apart one number from another number.  

For adding or addition we use the symbol '+ '

For subtraction, we use the symbol ' - '

Here some are rules when addition (+) and subtraction (-) encounters with multiplicatin  

=>  (+) × (+) = (+)

=>  (-) × (+) = (-)  

=>  (-) × (-) = (-)

Here we have

=> -1/3-(-5/12)

As we learn (-) × (-) = (-)  

=> (1/3) + (5/12)

Here LCM of 3, 12 is 12

=> (4 + 5) / 12         [ 4 = 12/3 × 1 ]

=>  9/12 = 3/4

Therefore, the solution for  -1/3-(-5/12) is 3/4

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Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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The standard deviation of the normally distributed variable is given as follows:

s = 0.0434.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean this problem is given as follows:

\(\mu = p = 0.2\)

Considering a sample size of 85, the standard deviation is given as follows:

s = sqrt(0.2 x 0.8/85)

s = 0.0434.

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Answer:

15

Step-by-step explanation:

-20 is to the left on the number line which signifies that it is of low numerical value.

15 on the other hand is to the right on the number line which signifies that it holds still low but greater numerical value.

Hope this helps you and have a great day!

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Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

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

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

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

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

Answer:

Milk costs 75 cents per litre.

Bread costs $1.75 per loaf.

Step-by-step explanation:

Answer: 10

Step-by-step explanation: you have to simplify for it to equal 10

The perimeter of trapezoid WXYZ can be found in the same way, by adding up the lengths of its sides, WX, XY, YZ, and ZW. The scale factor of the enlargement, we need to divide the length of one of the corresponding sides in the enlarged trapezoid by the length of the corresponding side in the original trapezoid.

The perimeter of a trapezoid is the sum of the lengths of all its sides. In trapezoid ABCD, side AB is parallel to side CD, and sides BC and DA are the non-parallel sides. To find the length of each side, we can use the given measurements or apply the Pythagorean theorem to find the missing length. Once we have the length of all four sides, we can add them together to get the perimeter of trapezoid ABCD.

Similarly, for trapezoid WXYZ, we can find the length of each side by using the given measurements or applying the Pythagorean theorem. Once we have the length of all four sides, we can add them together to get the perimeter of trapezoid WXYZ.

To find the scale factor of the enlargement, we need to compare the length of one of the corresponding sides in the enlarged trapezoid to the length of the corresponding side in the original trapezoid. Corresponding sides are the sides that are parallel and have the same relative position in both trapezoids. For example, if side WX in the enlarged trapezoid is twice as long as side AB in the original trapezoid, then the scale factor of the enlargement is 2:1. We can also express the scale factor as a decimal or percentage by dividing the length of the corresponding sides in the two trapezoids.

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Answer:

x=13,   x=1

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

Separate into two equations

x-7 = 6     x-7=-6

Add 7 to each side

x-7+7=6+7      x-7+7 = -6+7

x=13                  x=1

if Jeremiah wants to get the most dog food for his money, he should buy the Woofy Waffles.

For Part A,

According to the given data in the table,

To calculate the unit rate for each package,

Simply divide the cost by the size.

So, for Canine Cakes,

The unit rate would be $24 ÷ 16 pounds = $1.50 per pound.

For Bark Bits,

The unit rate would be $82 ÷ 50 pounds = $1.64 per pound.

And for Woofy Waffles,

The unit rate would be $48 ÷ 40 pounds = $1.20 per pound.

For Part B,

To determine the best buy using the unit rates found in Part A.

The best buy is the package with the lowest unit rate,

because that means you're getting the most product for your money.

In this case,

The package with the lowest unit rate is Woofy Waffles,

At $1.20 per pound.

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Using it's concept, the scatter plot that accurately reflects the data given in the problem is scatter plot D.

A scatter plot is a graph that maps each input in the data-set to it's respective output, as points.

Considering this concept, an age of 12(x - axis) should be mapped to a time in minutes of 23(y-axis), and so on, until an age of 71 is mapped to a time of 33 minutes, which happens in option D.

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The terminal point of sin t, cost, and tan t is:

sin t = 3/5
cos t = 4/5
tan t = 3/4


To find sin t, cos t, and tan t for the terminal point P(x, y) = (4/5, 3/5) determined by a real number t, we need to use the trigonometric ratios of sine, cosine, and tangent.

First, we need to find the values of x and y from the given coordinates of P. Since P is on the unit circle, we know that the distance from the origin to P is 1.

Therefore, we can use the Pythagorean theorem to find the value of the missing side:
x^2 + y^2 = 1^2
(4/5)^2 + (3/5)^2 = 1
16/25 + 9/25 = 1
25/25 = 1

So, x = 4/5 and y = 3/5.

Next, we can use the definitions of sine, cosine, and tangent to find their values for t:
sin t = y/1 = 3/5
cos t = x/1 = 4/5
tan t = y/x = (3/5)/(4/5) = 3/4

Then, we obtain:
sin t = 3/5
cos t = 4/5
tan t = 3/4

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Answer:

25 grams of protein

Step-by-step explanation:

10 grams of protein is in 1 cup of milk.

To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.

There are 5 grams of protein in 0.5 cups of milk.

Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.

There are 20 grams of protein in 2 cups of milk.

But, the question is asking for how much protein is in 2.5 cups of milk.

Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.

20+5 is 25 grams.

There are 25 grams of protein in 2.5 cups of milk.

The true statement about the number 2^(-3) is that it is equal to 0.125, not -8

I'm sorry, but the statement "2-^3 is equal to -8" is not true. The correct calculation for 2 raised to the power of -3 is as follows:

2^(-3) = 1 / (2^3) = 1 / 8 = 0.125

The exponent of -3 signifies that we are calculating the reciprocal or inverse of the base number raised to the power of 3. In this case, the base number is 2, and raising it to the power of -3 results in the reciprocal, which is 1/8 or 0.125.

It's important to note that negative exponents indicate the use of fractions or decimals in the calculations. In this context, the negative exponent signifies the inverse or reciprocal of the base number raised to a positive exponent.

Therefore, the true statement about the number 2^(-3) is that it is equal to 0.125, not -8.

It's crucial to understand the concept of exponentiation and the rules associated with it. Negative exponents have specific meanings and should be handled correctly to avoid mathematical errors or misunderstandings.

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The probability that it will NOT snow is 0.42

From the question, we have the following parameters that can be used in our computation:

Probability of snow = 0.58

The probability that it will NOT snow is the complement of the probability that it will snow

This is represented as

Probability that it will NOT snow = 1 - probability that it will snow

Substitute the known values in the above equation, so, we have the following representation

Probability that it will NOT snow = 1 - 0.58

Evaluate

Probability that it will NOT snow = 0.42

Hence, the value is 0.42

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Answer:

sum=3.2559347

Step-by-step explanation:

product= 2x6x2 798.364

did it on edginuty and got it right

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

Answer:

sorry man or man drawing a little more about the job than the rest on any of these

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

Given that the point (8, 5) is on the terminal side of an angle in standard position. We have to determine the exact values of the six trigonometric functions of the angle.Let's consider the point (8, 5) on the coordinate plane.From the above figure, we can see that the point (8, 5) is located in the first quadrant.

Therefore, the value of sin, cos, and tan will be positive and the value of sec, csc, and cot will also be positive.The length of the hypotenuse of the right-angled triangle formed by the given point with the x and y-axis is given by the distance formula. We have :

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{(8-0)^2+(5-0)^2}=\sqrt{64+25}=\sqrt{89}$

Now, we can determine the exact values of the six trigonometric functions of the angle:

1. sin θ = (opposite side/hypotenuse) = y/d = 5/√89.2. cos θ = (adjacent side/hypotenuse) = x/d = 8/√89.3. tan θ = (opposite side/adjacent side) = y/x = 5/8.4. csc θ = (hypotenuse/opposite side) = d/y = √89/5.5. sec θ = (hypotenuse/adjacent side) = d/x = √89/8.6. cot θ = (adjacent side/opposite side) = x/y = 8/5.Therefore, the exact values of the six trigonometric functions of the angle are: sin θ = 5/√89, cos θ = 8/√89, tan θ = 5/8, csc θ = √89/5, sec θ = √89/8, and cot θ = 8/5.

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Answer:

The answer is the third graph or c

Step-by-step explanation:

I just did the test and the other guy is correct to.

Answer:

If you are on edg 2021 then it is the graph with the line going down from 0 to the bottom left square of the graph

Step-by-step explanation:

So it is the first graph.

Answer:

Your correct answer is 14t - 40

Step-by-step explanation:

Combine like terms:

10t + 3t + t = 14t

Since there are no other integers, just tag on the -40:

14t - 40

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1. At the moment the beam of light is 3 miles from the point on the shore closest to the island, the beam is moving towards the point at a rate of 0 mi/min.

2. At the moment the rocket is 25 ft in the air, the angle of elevation is changing at a rate of 0.6 rad/sec.

3. The distance between you and your friend is changing at a rate of 244 mph.

1. A lighthouse is located on an island 6 miles from the closest point on a straight shoreline.

Let A be the lighthouse and B be the point on the shore closest to the island. Let C be the position of the beam of light when it is 3 miles from B.

We have AC = 3 and AB = 6.

Let x be the distance from C to B.

Then, we have

x^2 + 3^2 = AB^2

= 36.

Taking the derivative with respect to time of both sides, we get:

2x(dx/dt) = 0

Simplifying gives dx/dt = 0.

Therefore, the beam of light does not move towards the point on the shore closest to the island when it is 3 miles from that point.

At the moment the beam of light is 3 miles from the point on the shore closest to the island, the beam is moving towards the point at a rate of 0 mi/min.

2. You stand 25 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 15 ft/sec. Find the rate at which the angle of elevation from the point on the ground at your feet and the rocket changes when the rocket is 25 ft in the air.

Let O be the point on the ground where you are standing and let P be the position of the rocket when it is 25 ft in the air. Let theta be the angle of elevation from O to P.

Then, we have

tan(theta) = (OP/25).

Taking the derivative with respect to time of both sides, we get:

sec^2(theta) (d(theta)/dt) = (1/25) (d(OP)/dt)

Substituting

d(OP)/dt = 15 ft/sec and

theta = arctan(OP/25)

= arctan(1/x),

we have:

d(theta)/dt = 15/(25 cos^2(theta))

When the rocket is 25 ft in the air, we have

x = OP

= 25.

Therefore,

cos(theta) = x/OP

= 1.

Substituting this value, we get:

d(theta)/dt = 15/25

= 0.6 rad/sec.

At the moment the rocket is 25 ft in the air, the angle of elevation is changing at a rate of 0.6 rad/sec.

3. You and a friend are riding your bikes to a restaurant that you think is east, your friend thinks the restaurant is north. You both leave from the same point, with you riding 17 mph east and your friend riding 11 mph north.

Let O be the starting point, A be your position, and B be your friend's position.

Let D be the position of the restaurant. Let x be the distance AD and y be the distance BD. Then, we have:

x^2 + y^2 = AB^2

Taking the derivative with respect to time of both sides, we get:

2x (dx/dt) + 2y (dy/dt) = 0

When x = 6, y = 8, and dx/dt = 17 mph and dy/dt = 11 mph, we have:

2(6)(17) + 2(8)(11) = 244

Therefore, the distance between you and your friend is changing at a rate of 244 mph.

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The values of the variable x are;

x = 53 degrees

x = 4 degrees

Note that triangle sum theorem is a theorem stating that the sum of the interior angles of a polygon with three sides is 180 degrees.

From the information shown, in the diagram, we have that;

For the first triangle

x + 11 + 40 + 76 = 180

now, add the values

x+ 127 = 180

collect the like terms

x = 180 - 127

subtract the collected like terms

x = 53 degrees

For the second triangle

70 + 5x + 90 = 180

add the values

5x + 160 = 180

collect like terms

5x = 20

x = 4

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Answer:

shirts are $32 each and hats are $18 each

Step-by-step explanation:

x = shirts

y = hats

2x + 5y = 154

3x + 4y = 168

use either substitution or elimination

x = $32

y = $18

The price of each shirt is $32 while the price of each hat is $18.

let

the price of each shirt  = x

the price of each hat = y

Eva's purchase will be

Nicole's purchase will be

Combine the equation to find the price of each shirt and hat.

2x + 5y = 154

3x + 4y = 168

2x = 154 - 5y

x = 77 - 5 / 2 y

3x + 4y = 168

3(77 - 5 / 2 y) + 4y = 168

231 - 15 / 2 y + 4y  = 168

168 - 231 = - 7 /2 y

- 63 = - 7 / 2 y

cross multiply

-126 = -7y

y = 18

2x + 5(18) = 154

2x + 90 = 154

2x = 154 - 90

2x = 64

x = 64 / 2

x = 32

Price of each shirt  = $32

price of each hat  = $18

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A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).

A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:

1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.

So, the answer is B. 5 line pairs per millimeter.

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The symmetric difference of two sets is the set of elements that are in either of the sets, but not in their intersection. In this case, the intersection of {1, 3, 5} and {1, 2, 3} is {1, 3}, so the symmetric difference is the set of elements that are in either {1, 3, 5} or {1, 2, 3}, but not in {1, 3}. This set is {2, 5}, since 2 is in {1, 2, 3} but not in {1, 3, 5}, and 5 is in {1, 3, 5} but not in {1, 2, 3}. Therefore, the symmetric difference of {1, 3, 5} and {1, 2, 3} is {2, 5}.

Step 1: Identify the two sets.
Set A = {1, 3, 5}
Set B = {1, 2, 3}

Step 2: Find the difference between the two sets.
A - B = {5} (elements in A that are not in B)
B - A = {2} (elements in B that are not in A)

Step 3: Combine the two differences to find the symmetric difference.
Symmetric Difference = A - B ∪ B - A

Your answer: The symmetric difference of {1, 3, 5} and {1, 2, 3} is {2, 5}.

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