need answers to these two questions with work, must find the measurement indicated using the law of sines. round answer to the nearest tenth.

The missing length is 6 yards

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

The figure

Also, we have

Area = 45 square yards

Base = 7.5 yards

Using the above as a guide, we have the following:

Height = Area/Base

So, we have

Height = 45/7.5

Evaluate

Height = 6

Hence, the height is 6 yards

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Answer:

\(7.56 \div 6 = 1.26\)

one bag of beads cost $1.26

Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

Answer:

4

Step-by-step explanation:

Cause 4×8 is 32.Am I right.Hpoe it helps.

Answer:

n=4

Step-by-step explanation:

n * 8 = 32

Do it backwards now

32 / 8 to make 4.\To check,

4*8 = 32

Answer:

Length of window = 9 inch

Width of window = 7 inch

Step-by-step explanation:

Given;

Area of window and frame = 195 inch²

Frame width = 3 inch

Length of window = x + 2

Width of window = x

Find:

Value of x

Computation:

Length of window and frame = x + 2 + 3 + 3

Length of window and frame = x + 8

Width of window and frame = x + 3 + 3

Width of window and frame = x + 6

Area of window and frame = (l)(b)

(x + 8)(x + 6) = 195

x² + 6x + 8x + (8)(6) = 195

x² + 14x + 48 = 195

x² + 14x - 147 = 0

x² + 21x - 7x - 147 = 0

x(x + 21) - 7(x + 21) = 0

So,

x + 21 = 0 and x - 7 = 0

So,

X = 7

Value of x = 7

Length of window = 9 inch

Width of window = 7 inch

Answer:

(4r-5)(r+1)=0

Step-by-step explanation:

If you multiply this out, you will get the original equation.

Answer:

12 and -9

Step-by-step explanation:

12 x -9 = -108

12 + -9 = 3

Answer:

35.)   80

36.)   11

37.)   15

38.)   21

39.)   -9

40.)   -1

Step-by-step explanation:

In simplified terms the question is asking

35.)   g(f(-1)) =

         g(-9) = 80

36.)   f(g(2)) =

         f(3) = 11

37.)   g(f(0)) =

        g(-4) = 15

38.)   f(g(root6)) =

         f(5) = 21

39.)   f(g(0)) =

         f(-1) = -9

40.)   g(f(4/5)) =

         g(0) = -1

y=9x is proportional

y= 19x - 5 is non proportional.

Hope this helped

Answer:

well 4 is   proportional.  

6 is  non proportinal

Step-by-step explanation:

The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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Answer: To determine the maximum number of boxes that the forklift can carry in the crate, we need to know the weight of each box and the weight capacity of the forklift. Let's assume that each box weighs 20 pounds and the weight capacity of the forklift is 2000 pounds.

To find the maximum number of boxes, we need to subtract the weight of the crate from the weight capacity of the forklift and then divide by the weight of each box:

Maximum number of boxes = (Weight capacity of forklift - Weight of crate) / Weight of each box

Maximum number of boxes = (2000 - 150) / 20

Maximum number of boxes = 1850 / 20

Maximum number of boxes = 92.5

Since we cannot have a fraction of a box, we need to round down to the nearest whole number. Therefore, the forklift can carry a maximum of 92 boxes in the crate.

Step-by-step explanation:

Answer:

y = 4/3x + 5

Step-by-step explanation:

if the slope is -3/4 then the perpendicular slope is 4/3

y = mx + b

9 = 4/3(3) + b

9 = 4 + b

5 = b

y = 4/3x + 5

Answer:Answer:  It takes 4 person 230 mins to paint 6 walls

Step-by-step explanation:

10 people : 46 mins : 3 walls

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

Find the number of people needed to paint 6 walls

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

(10 x 2) people : 46 mins : (3 x 2) walls

       20 people : 46 mins : 6 walls

⇒ It takes 20 people 46 mins to paint 6 walls.

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

Find amount of time to paint all 6 wall by 1 person

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

(20 ÷ 20) people : (46 x 20) mins : 6 walls

             1 person :     920 mins     : 6 walls

⇒It takes 1 person 920 mins to paint 6 walls

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

Find the amount of time to paint 6 walls by 4 people

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

(1x 4) person :     (920 ÷ 4) mins     : 6 walls

       4 person :        230 mins         : 6 walls

⇒ It takes 4 person 230 mins to paint 6 walls

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

Answer:  It takes 4 person 230 mins to paint 6 walls

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

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                   ✌ -ZYLYNN JADE ARDENNE

Answer:

2/3x-10

Step-by-step explanation:

y=mx+b

y=2/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-6). When x of the line is 6, y of the line must be -6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).

So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.

so, y=2/3x-10

The measure of the smaller interior angle is x = 36 degrees, and the measure of the larger interior angle is 4x = 144 degrees.

Let's assume that the measure of one interior angle of the parallelogram is x. Then, according to the problem statement, the measure of another angle would be 4x (since it is 0.25 times the measure of the first angle).

Now, we know that opposite angles in a parallelogram are congruent (they have the same measure), so the other two interior angles of the parallelogram would also have measures x and 4x.

The sum of the measures of the interior angles of a parallelogram is always equal to 360 degrees, so we can write:

x + 4x + x + 4x = 360

Simplifying this equation, we get:

10x = 360

Dividing both sides by 10, we obtain:

x = 36

Therefore, the measure of the smaller interior angle is x = 36 degrees, and the measure of the larger interior angle is 4x = 144 degrees.

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Answer:

V = 3×5×4  cm^3

Step-by-step explanation:

The solid used in the question is assumed to be a rectangular box.

The volume of a rectangular box is;

Volume = length × Breadth × height

Given the dimensions of the box as;

4cm by 5cm by 3cm.

The volume V of the box can then be written as the product of the dimensions;

V = 3cm × 5cm × 4cm

V = 3×5×4 cm^3

Answer:a

Step-by-step explanation:

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

13/18

Step-by-step explanation:

The two negatives cancel out.

1/6 * 4 1/3 is 13/18, first turn 4 1/3 to 13/3.

Hope this helps

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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The appropriate family of distributions to approximate the probability of rolling a 6 on a fair die is the discrete uniform distribution, which assumes equal probabilities for each outcome. In this case, the probability of rolling a 6 would be approximately 1/6 based on the assumption of fairness.

For the problem of approximating the probability of rolling a 6 on a fair die, an appropriate family of distributions to consider is the discrete uniform distribution.

The discrete uniform distribution is commonly used to model situations where each outcome has an equal probability of occurring. In the case of rolling a fair die, the die has six equally likely outcomes (numbers 1 to 6).

Each outcome has a probability of 1/6 of occurring, making the discrete uniform distribution a suitable choice.

By assuming a discrete uniform distribution, we can assign equal probabilities to each outcome (1/6 for rolling a 6) and approximate the probability of rolling a 6 based on the assumption of fairness.

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Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence:

\(T = 325 \times 10^7 = 3,250,000,000\)

3,250,000,000 phone numbers are possible.

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The chance that Sam will not get a parking ticket is 87%.

To find the chance of not getting a parking ticket, subtract the chance of getting a ticket from 100%.

Step 1: Take the chance of getting a ticket, which is 13%

Step 2: Subtract it from 100%

100% - 13% = 87%

So, the chance that he will not get a parking ticket is 87% if Sam want to leaves his car parked outside his office all day next tuesday.

This question is about the probability of Sam getting a parking ticket if he leaves his car parked outside his office on a weekday. Sam estimates that the chance of getting a ticket is 13%. To find the chance of not getting a ticket, the probability of getting a ticket (13%) was subtracted from 100%. The result, 87%, represents the chance that Sam will not get a parking ticket.

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The integral of 6x² - x² with respect to x is equal to 5x². Adding the constant of integration, the final result is 5x² + C.

To evaluate the integral, we first simplify the expression inside the integral: 6x² - x² = 5x². Now we can integrate 5x² with respect to x.

The integral of x^n with respect to x is given by the power rule of integration: (1/(n+1)) * x^(n+1). Applying this rule, we have:

∫ 5x² dx = (5/3) * x^(2+1) + C

= 5/3 * x³ + C

Adding the constant of integration (denoted by C), we obtain the final result:

5/3 * x³ + C

This is the indefinite integral of 6x² - x² with respect to x. The constant C represents the family of all possible solutions since the derivative of a constant is zero. Therefore, when evaluating integrals, we always include the constant of integration to account for all possible solutions.

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Therefore, the amount of charge passing through the fixed point in the conductor in the time interval t1 = 0 to t2 = τ is approximately -18.86 μC.

To determine the amount of charge passing through a fixed point in the conductor in the time interval t1 = 0 to t2 = τ, we need to calculate the integral of the current function I(t) over that time interval.

The current function is given by:

I(t) = I0 * e\(^(-t/τ)\)

Integrating this function over the time interval [t1, t2], we have:

Q = ∫[t1, t2] I(t) dt

Substituting the expression for I(t), we get:

Q = ∫\([t1, t2] I0 * e^(-t/τ) dt\)

Since I0 and τ are constant values, we can take them out of the integral:

Q = I0 * ∫[\(t1, t2] e^(-t/τ) dt\)

To evaluate this integral, we can use the following property of the exponential function:

∫\(e^(ax) dx = (1/a) * e^(ax) + C\)

Applying this property to our integral, we have:

Q = I0 * (-τ) * \(e^(-t/τ) |_t1 ^t2\)

Substituting the values t1 = 0 and t2 = τ, we get:

Q\(= I0 * (-τ) * (e^(-t2/τ) - e^(-t1/τ))\)

Substituting the given values I0 = 4.10 mA and τ = 7.00 ms, we have:

\(Q = 4.10 mA * (-7.00 ms) * (e^(-7.00 ms/7.00 ms) - e^(0/7.00 ms))\)

Simplifying the expression:

\(Q = 4.10 mA * (-7.00 ms) * (e^(-1) - 1)\)

Calculating the value:

Q ≈ -18.86 μC

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Answer:

(C)

Step-by-step explanation:

2 power 2 = 4

3 power 2 = 9

4 power 2 = 16

Answer:

XY would also be 7 centimeters which is answer D.

Step-by-step explanation:

This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.

The lower limit for the central 95% of all possible sample means, drawn from a population distribution with a mean of 600 and a standard deviation of 112, is approximately 551.66.

To determine the lower limit of the central 95% of sample means, we use the formula for the confidence interval:

Lower limit = sample mean - margin of error

The margin of error is calculated by multiplying the critical value (obtained from the Z-table for a 95% confidence level) by the standard deviation of the population divided by the square root of the sample size:

Margin of error = Z * (σ/√n)

In this case, the mean is 600, the standard deviation (σ) is 112, and the sample size (n) is 19. From the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Plugging in the values, we get:

Margin of error = 1.96 * (112/√19) ≈ 23.33

Therefore, the lower limit is:

Lower limit = 600 - 23.33 ≈ 551.66

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Answer:

A. 9

Step-by-step explanation: