How do you find the missing side of a triangle 7th grade?

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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Answer:

A

Step-by-step explanation:

We are starting with 51

50x10=50

1x1=1

since there were 0.21 seconds, we first have to find the tenths place.

0.1x2=0.2

now that we found the tenths place, we need to find the hundredths place

0.01x1=1

FINAL ANSWER

(5 x 10) + (1 x 1) + (2 x 0.1) + (1 x 0.01)

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

699651

Step-by-step explanation:

54 x 12957 = 699678 - 27 = 699651

Answer:

x = 816 kilometers per hour.

Step-by-step explanation:

Given the following data;

Distance traveled by Kirk = 450km

Distance traveled by Thor = 408 km

Let the average driving speed of Thor be x.

Translating the word problem into an algebraic equation;

k = x + 6

We know that the time taken to cover a distance by an object with speed is given by the formula;

Time = distance/speed

Substituting into the equation, we have;

408/x = 405/x + 6

Cross-multiplying, we have;

408*(x + 6) = 405*x

408x + 2448 = 405x

408x - 405x = 2448

3x = 2448

x = 2448/3

x = 816 kilometers per hour.

Root 40 to the nearest 10 is 6.3

The root of a number in math is a number that when multiplied by itself produces the original number. For example, the square root of 49 is 7 because 7×7=49.

Rounding off to the nearest 10 means that we wish to round off the last two digits of a number, that is up to the tens place of a number.

We have been given that 40 is the number whose root we have to round off so here are step-by-step instructions for how to get the square root of 40 to the nearest tenth:

Step 1: Calculate. We calculate the square root of 40 to be: √40 = 6.32455532033676.

Step 2: Reduce. 6.32.

Step 3: Round. Round 6.32 so you only have one digit after the decimal point to get the answer: 6.3.

So therefore the nearest 10 of root 40 is 6.3

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When Kimberly rolls two six-sided number cubes numbered 1 through 6, it creates 36 possible outcomes which is represent in the tree diagram below

A tree diagram is a visual representation of outcomes. It consists of branches that represent the possible outcomes of each step.

When it comes to Kimberly rolling two six-sided number cubes, we can start by rolling the first cube, and then rolling the second cube.

For each roll of the first cube, there are six possible outcomes (1 to 6). For each outcome of the first cube, there are six possible outcomes for the second cube.

This results in a total of 6 x 6 = 36 possible outcomes.

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Answer:

7

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

The equation of the line of reflection is y - y₁ = -(Xx - Ax)/(Xy - Ay)(x - x₁).

To find the equation of the line of reflection, we need to determine the reflection line. Since the reflection line is not given, we can find it by locating the perpendicular bisector of the line segment joining AX and its image N' after reflection.

We can first find the midpoint of line segment AX, which is the point M = (A + X)/2. Then, we can find the slope of the line joining AX, which is given by (Xy - Ay)/(Xx - Ax), where Ay, Ax, Xy, and Xx are the y and x coordinates of points A, X, N, and N', respectively.

The slope of the perpendicular bisector is the negative reciprocal of the slope of the line joining AX. Therefore, the slope of the reflection line is given by

=> -(Xx - Ax)/(Xy - Ay).

Next, we can use the point-slope form of the equation of a line to find the equation of the reflection line. If (x,y) are the coordinates of any point on the reflection line, the equation of the line can be written as y - y₁ = m(x - x₁), where m is the slope of the reflection line and (x₁,y₁) is any point on the line.

Substituting the slope we found earlier, we get the equation of the reflection line as y - y₁ = -(Xx - Ax)/(Xy - Ay)(x - x₁).

Thus, we have found the equation of the line of reflection for the given scenario.

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Complete Question:

Reflections < 13°

Below is a reflection that is not over an axis.

AX = N is the pre-image.

Write the equation of the line of reflection.

In order to find the values of x and y, let's compare both values of x given:

So we have that x = -14 and y = -5.

Yes, it does have a circuit. This is because a connected graph with nine vertices and twelve edges is guaranteed to have at least one circuit.

A circuit is a path that starts and ends at the same vertex while visiting all other vertices exactly once. A connected graph with n vertices and 2n edges is guaranteed to have at least one circuit. This is because each edge in the graph contributes to two paths (one in each direction), and the total number of paths must be equal to the number of edges. Since a graph with nine vertices and twelve edges has more edges than vertices, it is guaranteed to have at least one circuit. Therefore, the graph does indeed have a circuit.

The complete question is : a connected graph has nine vertices and twelve edges. does it have a circuit? why or why not? the graph has a circuit because a connected graph with n vertices and 2n edges is guaranteed to have at least one circuit.

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Answer:

36 inches per yard and 2 yards is 72 inches

Step-by-step explanation:

Answer:

1 Yard is equal to 36 inches and 2 yards is equal to 72 inches sorry if thats not what ur asking.

Step-by-step explanation:

81 percentile of the given test is 482

The square root of the means of the squared deviations from the arithmetic mean is known as the standard deviation. Standard deviation is used in finance to quantify the risks associated with an investment instrument.

Given that the Marble Academy of Whoville conducts an annual test for all high school juniors one year, the scores on the test were approximately normally distributed with a mean of 420 and a standard deviation of 70

Here mean μ = 420 and Standard deviation σ = 70

We have find 81 percentile of this test = ?

The z score corresponding to the area 0.81 is

Z = 0.88  By standard normal table

X = μ + z σ

X = 420 + 0.88 x 70

= 420 + 62

= 482

Therefore 81 percentile of this test is 482

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Answer:

8÷100×3.25

=£0.26

hope it is helpful to you

Step-by-step explanation:

8÷100×3.25

=0.26

espero ter te ajudado

Answer:

$4,500.00

Step-by-step explanation:

.05(50,000) + .08(75,000-50,000)

2,500 + 2,000

4,500

Answer:

  $4500

Step-by-step explanation:

You want to know the commission on a $75000 sale if it is 5% on the first $50000 and 8% of the amount over $50000.

The amount of commission is found by multiplying the commission rate by the applicable sale amount. For a sale amount x such that x > $50,000, the commission is ...

  C = 0.05(50000) +0.08(x -50000) = 0.08x -0.03(50000)

  C = 0.08x -1500

The commission on a sale of 75000 would be ...

  C = 0.08(75000) -1500 = 6000 -1500 = 4500

Your commission is $4500.

For the given equation, we created a situation in which the equation would work and analysed it.

What is meant by equations?

A mathematical equation is a formula that uses the equals sign (=) to represent the equality of two expressions. The expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side," respectively, of the equation. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

a ) Given the equation as:

 g + 3 / 16 = 15

Now we have to create a situation that the equations could represent. We have to create a word problem for the equation.

James had a packet of chocolates. There were a total of 16 students in his class. He bought three more chocolates so that each student received 15 chocolates. How many chocolates did James have in the beginning?

To solve this we take g as the number of chocolates in the beginning.

He bought 3 more chocolates.

So number of chocolates = g + 3

Now he divided it among 16 students equally.

So each student received = g + 3 /16 = 15 chocolates.

b) The situation would not work if the denominator of the equation is doubled. That is 16 * 2 = 32.

Because the number of students is 16.

But if the students were 16*2 = 32 then the situation would work.

Therefore for the given equation, we created a situation in which the equation would work and analysed it.

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tha correct answer is c 3/2

Answer:

Step-by-step explanation:

\(\frac{3}{2} \times 444\\=3 \times 222\\=666~kg\)

Answer:

6,000 grams.

Sorry but no explanations.

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

42

Step-by-step explanation:

[840/20]*1=42

Answer:

the correct answer is that the will be 42 teachers

Step-by-step explanation:

1/20x840

=42

To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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The total amount of money she deposited is $45 + $45 = 2x$45

The given function that represents the decay rate of a radioactive substance in millirems per year is g(t), with t in years. We are to use definite integrals to represent the quantity of the substance that decays over the first 15 years after the spill.

Definite integrals are used to calculate the area under the curve of a function between two given points. So, the quantity of the substance that decays over the first 15 years after the spill is given by the definite integral of the function g(t) from 0 to 15.3.1 The quantity of the substance that decays over the first 15 years after the spill is given by the definite integral of the function g(t) from 0 to 15.

So, we can represent it as∫₀¹⁵g(t) dt. Note: The symbol ∫ is the integral symbol, ₀ is the lower limit, and ¹⁵ is the upper limit of the definite integral.

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lets remember the formula for the area of a triangle

A= 1/2 * b* h

A=35.7 h=8.9 we replace what we know with the values

35.7= 1/2 *8.9*b

b= (35.7*2)/8.9=8.02

b=8.02

The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is approximately 0.54.

(a) The probability that the person is traveling on business is 0.7(0.5) + 0.3(0.7) = 0.56.

(b) The probability that the person is traveling for business on a privately owned plane is 0.3(0.7) = 0.21.

(c) The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is given by Bayes' theorem as:

P(private plane | business) = P(business | private plane) * P(private plane) / P(business)

= (0.7 * 0.3) / (0.7 * 0.5 + 0.3 * 0.7) = 0.3 / 0.56 ≈ 0.54.

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The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion

The correct order of the steps in the scientific method is as follows:

e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.

b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.

c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.

a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.

d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.

The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.

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The number of ways that there are for her to plan her schedule of menus for the 20 school days, with no restrictions, using the Fundamental Counting Theorem, is of:

10^20.

The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

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

In this problem, we have that:

Then the number of different meals is obtained as follows:

N = 10^20.

As there are 20 trials, each with 10 possible outcomes.

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Answer:

7

Step-by-step explanation:

Pythagorean theorem. 24^2+b^2=25^2

Simplify

576+b^2=625

b^2=49

b=7

The mean should be set to 12.07 ounces, so that 1% of the cups will overfill.

12 + (0.07 * 2) = 12.14; 12.14 - (12.14 * 0.01) = 12.07

The mean amount of coffee to be dispensed should be set to 12.07 ounces in order to allow 1% of the cups to overfill. This is calculated by taking the normal value of 12 ounces, and adding the standard deviation of 0.07 ounce, resulting in 12.14 ounces. Then, 1% of that value is subtracted, giving 12.07 ounces. This amount will ensure that 1% of the cups will overfill, while the other 99% will be filled to the normal value of 12 ounces. This is beneficial for the customer, as it guarantees that no cup will be underfilled. It also ensures that the vending machine will not waste any coffee by overfilling the cups too much. Setting the mean to 12.07 ounces is the best solution for both the customer and the vending machine.

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