Solve for BC: 3√2 A B C

Solve For BC: 32 A B C

Answers

Answer 1

Sides AB = 3√2 and BC = 6.

The given triangle ABC is a right-angled triangle, as ∠BAC = 90°.

In the given right triangle ABC,

Hypotenuse of the triangle = BC

Base and height = AC and AB.

Also, we see from the diagram that ∠ACB and ∠ABC are equal.

∴ Triangle ABC is isosceles, with sides AC = AB = 3√2.

Now, by Pythagoras' theorem,

Hypotenuse² = Base² + Height²

Or, BC² = AC² + AB²

Or, BC² = (3√2)² + (3√2)²

⇒ BC² = 36

Or, BC = 6

Hence, sides AB = 3√2 and BC = 6.

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Related Questions

write a quadratic function that passes through points (5,0) (9,0) (7,-20)

Answers

The quadratic function that passes through points is P(x) = 5(x - 5)(x - 9)

Writing the quadratic function that passes through points

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

Zeros at (5,0) (9,0) Point (7,-20)

The quadratic function, P(x), in factored form  is represented as

P(x) = a * product of (x - zeros)

So, we have

P(x) = a(x - 5)(x - 9)

Using the point (7, -20), we have

a(7 - 5)(7 - 9) = -20

So, we have

a = 5

Recall that

P(x) = a(x - 5)(x - 9)

So, we have

P(x) = 5(x - 5)(x - 9)

Hence, the function is P(x) = 5(x - 5)(x - 9)

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A mini-flashlight
is in the shape of a
rectangular prism. It is in. wide, 14in.
tall, and in. long. What is its volume?

Answers

Answer:

63 cubic inches

Step-by-step explanation:

To find the volume of the rectangular prism mini-flashlight, we need to multiply its length, width, and height.

Given that the width is 3 inches, the height is 14 inches, and the length is 1.5 inches, we have:

Volume = length x width x height

Volume = 1.5 in x 3 in x 14 in

Volume = 63 cubic inches

Therefore, the volume of the mini-flashlight is 63 cubic inches.

1
Select the correct answer.
What does it mean when the correlation coefficient has a positive value?
O A.
OB.
O C.
O D.
When x increases, y decreases, and when x decreases, y increases.
When x increases, y increases, and when x decreases, y decreases.
When x increases, y decreases, and when x is constant, y equals zero.
When x increases, y increases, and when x is constant, y decreases.

Answers

Answer:

The correct answer is B.

When x increases, y increases, and when x decreases, y decreases.

The directional derivative of f= x^2 y z^3 along x = e^-t , y = 1 + 2 sint , z = t -cost at t =0

Answers

The directional derivative of f = x²yz³ along vector i + 2j + 2k at x = [tex]e^{-t}[/tex] , y = 1 + 2 sin t , z = t -cost at t =0 is 2/3.

Given that the functions are,

x = [tex]e^{-t}[/tex]

y = 1 + 2 sin t

z = t - cos t

At t = 0 the point will be,

x = e⁰ = 1

y = 1 + 2 sin 0 = 1

z = 0 - cos 0 = -1

So the point is (1, 1, -1).

The vector is,

a = i + 2j + 2k

unit vector of a = (i + 2j + 2k)/√(1² + 2² + 2²) = (i + 2j + 2k)/3

Given the function is, f = x²yz³

Grad. f = 2xyz³.i + x²z³.j + 3x²yz².k

directional derivative is given by

= (Grad. f)*(unit vector of a) at (1, 1, -1)

= (2xyz³.i + x²z³.j + 3x²yz².k)*(i + 2j + 2k)/3 at (1, 1, -1)

= (2xyz³ + 2x²z³ + 6x²yz²)/3 at (1, 1, -1)

= (-2 - 2 +6)/3

= 2/3

Hence required directional derivative is 2/3.

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The question is incomplete. The complete question will be -

"The directional derivative of f= x^2 y z^3 along vector i + 2j + 2k at x = e^-t , y = 1 + 2 sin t , z = t -cost at t =0"

how to get the greatest common factor of 152,171 and 57​

Answers

To find the greatest common factor (GCF) of three numbers, you can use the prime factorization method:

1. Find the prime factorization of each number:

- 152 = 2^3 * 19

- 171 = 3 * 3 * 19

- 57 = 3 * 19

2. Identify the common prime factors: 19 is the only common prime factor.

3. Multiply the common prime factors together: 19.

Therefore, the greatest common factor of 152, 171 and 57 is 19.

The weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.

Answers

i Got u Bro! Answer:(3.5, 9.5)

:D

1,1,2,-1,1,-2,-1 find the next number in the sequence

Answers

Answer:

The next number in the sequence is -2.

Here's how to find it:

- Start with the first two numbers: 1 and 1.

- Add them together to get 2.

- The third number in the sequence is 2.

- Add the second and third numbers together to get 1.

- The fourth number in the sequence is 1.

- Subtract the third and fourth numbers to get -3.

- The fifth number in the sequence is -3.

- Add the fourth and fifth numbers to get -2.

- The sixth number in the sequence is -2.

- Subtract the fifth and sixth numbers to get -1.

- The seventh number in the sequence is -1.

- Add the sixth and seventh numbers to get -3.

- The eighth number in the sequence is -3.

- Subtract the seventh and eighth numbers to get 2.

- The ninth number in the sequence is 2.

- Add the eighth and ninth numbers to get -1.

- The tenth number in the sequence is -1.

- Subtract the ninth and tenth numbers to get -3.

- The eleventh number in the sequence is -3.

- Add the tenth and eleventh numbers to get -4.

- Therefore, the next number in the sequence is -4.

The area of a desert in Africa is times the area of a desert in Asia. If the area of a desert in Asia is square​ miles, express the area of a desert in Africa as an algebraic expression in .

Answers

The algebraic expression for the area of a desert in Africa in terms of the area of a desert in Asia is y = 12x.

If the area of a desert in Asia is x square miles, then the area of a desert in Africa is 12 times that, or 12x square miles. We can express this algebraically by using a variable to represent the area of the desert in Africa, such as y:

y = 12x

Here, y represents the area of the desert in Africa, and we know that it is 12 times the area of the desert in Asia, represented by x. We can substitute any value for x to find the corresponding value of y. For example, if the area of the desert in Asia is 1000 square miles, then the area of the desert in Africa is:

y = 12x = 12(1000) = 12,000 square miles

Correct Question:

The area of a desert in Africa is 12 times the area of a desert in Asia. If the area of a desert in Asia is x square miles , express the area of a desert in Africa as an algebraic expression x.

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A poll showed that 53.2% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life. Round to 3 decimal places.

Answers

The probability that a statistics teachers do not know the true meaning of life is 46.8%

What is the probability of someone who does not believe

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

53.2% of Americans say they believe that statistics teachers know the true meaning of life.

This means that

P(Believe) = 53.2%

For the required probability, we have

P(Not believe) = 1 - P(Believe)

So, we have

P(Not believe) = 1 - 53.2%

Evaluate

P(Not believe) = 46.8%

Hence, the probability that a statistics teachers do not know the true meaning of life is 46.8%

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7cm=_____ m

Customary metric units

Answers

Answer:

7 cm is equal to 0.07 m.

To convert centimeters to meters, you need to divide the number of centimeters by 100, since there are 100 centimeters in a meter.

So, 7 cm / 100 = 0.07 m.

7cm= 0.07 M is the answer

-12 divided by 3 5/9

Answers

your answer is 3.375

calculate the area of a circle whose circumference is 44cm​

Answers

Answer:

153.94 square centimeters.

Step-by-step explanation:

To calculate the area of a circle when the circumference is given, you can use the formula:

Circumference = 2 * pi * r, where pi is approximately equal to 3.14 and r is the radius of the circle.

We can rearrange this formula to solve for the radius:

r = Circumference / (2 * pi)

Substituting the given value of circumference:

r = 44 cm / (2 * 3.14) = 7.006 cm (rounded to three decimal places)

Now that we have the radius, we can calculate the area of the circle using the formula:

Area = pi * r^2

Substituting the value of r:

Area = 3.14 * 7.006^2 = 153.94 cm^2 (rounded to two decimal places)

Therefore, the area of the circle is approximately 153.94 square centimeters.

suppose that a population parameter is .7 and many samples were taken. if the size of each sample is 30 what is the standard error

Answers

The standard error is 0.0912.

The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.

In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.

Assuming the sample is large enough to assume normality, the formula becomes SE = [tex]\sqrt{(0.7*0.3)/30}[/tex]   = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.

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Which of the points below correctly plots the point (−1,π/4)?

A polar graph
Select the correct answer below:


A
B
C
D

Answers

Answer: Correct answer is B

Step-by-step explanation:

Remember that the coordinates (−1,π4) tell us the radius r=−1 and the angle θ=π4. So the point should be on the circle labeled 1 and form an angle of π4 with the negative x-axis. Point B is the correct point.

The correct answer is b!

Write a few sentences that contain practical information about memory, thinking, and learning and describe how it helps a student become a better learner

Answers

Memory, thinking, and learning are interconnected cognitive processes that are essential for academic success.

We have,

Memory, thinking, and learning are interconnected cognitive processes that are essential for academic success.

Research has shown that memory can be improved through techniques such as repetition, active recall, and mnemonic devices.

Critical thinking skills, such as analysis and evaluation, are important for understanding and retaining information.

Effective learning strategies include breaking down complex material into smaller, manageable parts and using visual aids to enhance understanding and retention.

Thus,

Developing these cognitive skills can help a student become a more efficient learner, retain information more effectively, and perform better academically.

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put numbers to order them from least to greatest.

-2.43
-2 2/3
2.045
2 5/9

Answers

Answer:

-2.67, -2.43, 2.045, 2.56

Step-by-step explanation:

First, we can convert -2 2/3 to a decimal by dividing 2 by 3 and subtracting the result from -2, which gives us:

-2 2/3 = -2.67

Next, we can convert 2 5/9 to a decimal by dividing 5 by 9 and adding the result to 2, which gives us:

2 5/9 = 2.56

So, the ordered list is:

-2.67, -2.43, 2.045, 2.56

Write a polynomial, P(x), in factored form given the following requirements.
Degree: 4
Leading coefficient 1
Zeros at x=5, x=−2 and x=−3
y-intercept at (0,60)

Answers

The polynomial, P(x), in factored form  is P(x) = (x - 5)(x + 2)^2(x + 3)

Writing the polynomial, P(x), in factored form

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

Degree: 4Leading coefficient 1Zeros at x=5, x=−2 and x=−3y-intercept at (0,60)

The polynomial, P(x), in factored form  is represented as

P(x) = (x - zeros)

So, we have

P(x) = (x - 5)(x + 2)^2(x + 3)

(x + 2) has an exponent of 2 because it makes the polynomial have a degree of 4

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why are inverse realashinships between operations used to solve twop step inqualites

Answers

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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A mountain climber is at an elevation of 10,000 feet. If she descends 2,000 feet a day, which equation would be used to show how many days it will take to reach sea level (0 feet)?

-10,000 ÷ (-2,000)
-10,000 ÷ 2,000
10,000 ÷ 2,000
10,000 ÷ (-2,000)

Answers

Answer: The correct equation to use is, C. 10,000 ÷ 2,000

Which simplifies to: 5

Therefore, it will take 5 days for the mountain climber to descend from an elevation of 10,000 feet to sea level, assuming they descends at a constant rate of 2,000 feet per day.

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How do I solve this question? I need to know what the base is, what the width is, and what the height is. Thanks if you can help!!! And I will need this ASAP if you can, thanks again!!!

Answers

Answer:

I assume you are referring to a rectangular prism with dimensions of 7 feet by 13 feet by 5 feet and you are trying to identify which dimension represents the length, width, and height.

In a rectangular prism, the length is typically considered the longest dimension, while the width and height are interchangeable depending on the orientation of the prism.

So, in this case, it is likely that the 13 feet dimension represents the length, while the 7 feet and 5 feet dimensions represent the width and height (in either order). However, it is important to note that without more context, it is impossible to know for sure which dimension is which.

what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

Answers

The missing step in this proof is option A. ∠ABC ≅ ∠DBE

How did we arrive at this assertion?

In order to bring about the SAS similarity criterion, the angle between the proportional sides should be congruent in the two triangles. Thus, the said angle is the same angle (angle B) in both triangles, which is reason for citing the reflexive property. It showcases ∠B ≅ ∠B.

Therefore, the answer choice showcasing angle B is option A. ∠ABC ≅ ∠DBE

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The complete question goes thus:

what is the missing step in this proof GIVEN: ABC with AD/DB= CB/BB PROVE: DE||AC

1. AD:DB = CE:EB Given

2. AD:DB+1 = CE:EB+1 Addition Property of Equality

3. (AD+DB)/DB = (CE+EB)/EB Using common denominators

4. AB = AD+ DB and CB = CE +EB segment addition

5. AB:DB = CB:EB Substitution property of equality

6. [Fill in missing statement from choices below] Reflexive property of congruence

7. ΔABC ~ ΔDBE SAS similarity criterion

8. ∠BAC ≅ ∠BDE Corresponding angles of similar triangles are congruent.

9. DE||AC If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

What is the missing step in this proof?

A. ∠ABC ≅ ∠DBE

B. ∠BCA ≅ ∠BDE

C. ∠ACB ≅ ∠DEB

D. ∠BDE ≅ ∠ADE

E. ∠CAB ≅ ∠DAC

A restaurant hired 18 servers for one banquet. They pay a full time server $21.00 per hour and a part time server $15.50 per hour. If the labor cost of the restaurant was $312.00 per hour, how many full time and part time servers were there for the banquet?

Answers

Let's assume that x servers were full-time and y servers were part-time. Then we can write two equations based on the given information:

x + y = 18 (since there were 18 servers in total)

21x + 15.5y = 312 (since the labor cost was $312 per hour)

To solve for x and y, we can use elimination or substitution. Here's one way to use elimination:

Multiply the first equation by 15.5 to get 15.5x + 15.5y = 279.

Subtract the first equation from the second equation to get 5.5x = 33.

Divide both sides by 5.5 to get x = 6.

Now we know that there were 6 full-time servers. We can substitute this value into either of the two equations to solve for y:

6 + y = 18

y = 12

Therefore, there were 6 full-time servers and 12 part-time servers at the banquet.

what's 253 divided by 4 and pls show work!

Answers

Answer:

253 divided by 4 is 63.25.

Here's the work:

```

4) 253.00

   24

  ---

    13

    12

   ---

     13

     12

    ---

      1

```

Therefore, the answer is 63.25.

(ECONOMICS- sorry there’s no button for it )

What motivates producers and consumers in the black market

Answers

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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solve for x.
[tex]\frac{2}{3}x=\frac{4}{9}[/tex]



[tex]x=\frac{8}{27} \\\\x=\frac{2}{3} \\\\x=2\\\\x=3[/tex]

Answers

Step-by-step explanation:

[tex] \frac{2x}{3} = \frac{4}{9} \\ 2x \times 9 = 4 \times 3 \\ 18x = 12 \\ x = \frac{12}{18} \\ x = \frac{2}{3} [/tex]

x=2/3

I hope it helped you

Please Mark me the brainliest

slope of A=(9,8) B=(-2,0)

Answers

Answer: 8/11

Step-by-step explanation:

Slope is given by rise/run or (y_2-y_1)/(x_2-x_1).

(x_1,y_1)=(9,8) and (x_2,y_2)=(-2,0)

So (y_2-y_1)/(x_2-x_1)= (0-8)/(-2-9)=-8/-11=8/11

Tim has 6 more books than Moby. The variable m represents the number of books Moby has. Which expression represents the number of books Tim has? ​

Answers

Answer m+6=b

Step-by-step explanation:

m means Moby since Moby is being added by six compared to Tim, we put a 6 after m to show how many more books Tim has, then we use b for book.

Answer: The number of books belonging to Tim is m+6

Step-by-step explanation: Here variable "m " represents the number of books Moby owns.

Let "b" be the variable representing the number of books owned by Tim.

The question directs that Tim has 6 more books than Moby.

To find the number of books belonging to Tim, one has to add six more books than that of Moby

Therefore by the simple addition of these variables, we will get to know the solution

So, the number of books belonging to Tim (b) will be m+6,

that is m+6=b

Hence proved.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the distance between these points.

A (5, 8), B(-3, 4)

AB =

Answers

The distance between the points (5, 8) and (-3, 4) is equal to 4√5 units.

How to determine the distance between the coordinates for each points?

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-3 - 5)² + (4 - 8)²]

Distance = √[(-8)² + (-4)²]

Distance = √[64 + 16]

Distance = √80

Distance = 4√5 units.

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I need help 20 pointttsss!!

Answers

Answer: 132 cubic cm

Step-by-step explanation: 6 x 5 x 3= 90 + 42

1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.

Answers

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

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How far do you agree with Interpretation 2 about the challenges facing theWeimar Republic in the years 1919-237Explain your answer, using both interpretations and your knowledge of the historical context.(16)Interpretation 1: From The Weimar Republic, 1918-24 by M. Rathbone, published in 2013.Some democratic parties did support the Weimar Republic. However, powerful political groups on both the Left and the Right refused to accept the existence ofthe Weimar Republic. They were prepared to destroy it by force and replace it with their own form of government. They took action against the Republic very soon after it was created. This made it difficult for the new government to maintain order and govern Germany.Interpretation 2: From Alpha History, a history website.The hyperinflation which happened in 1923 forced the Weimar government to fear for its own existence. After the French had occupied the Ruhr, the industrial workers had gone on strike.The Weimar government supported the strikers by printing more paper money inorder to pay them. As the strike continued, the government could not find a solution and simply printed even more money. This ruined the economy. People talked openlyabout removing the government by a popular revolution or a military putsch.Please help me out im having difficulty with this! During the planning/scoping phase of the kill chain, an attacker decides that a Distributed Denial of Service (DDoS) attack would be the best way to disrupt the target website and remain anonymous. Evaluate the following explanations to determine the reason the attacker chose a DDoS attack.A.)A DDoS attack can launch via covert channelsB.) DDoS attacks utilize botnetsC.) A DDoS attack creates a backdoor to a websiteD.) DDoS attacks use impersonation endocrine glands multiple choice are ductless glands. are the organs of the endocrine system. secrete hormones directly into the bloodstream. help maintain homeostasis. all of the choices are correct. A 21-year old college student submits a photo to the website "guess my age". At a later date he checks back and thousands of users have made guesses about his age. Of the following, which is the best procedure to investigate whether there is convincing statistical evidence that, on average, he is perceived to be less than 21 years old?. Let X have possible values {1, 2, 3, 4, 5} and probability mass functionx 1 2 3 4 5px(x) 1/7 1/14 3/14 2/7 2/7(a) Calculate P(X 3). (b) Calculate P(X < 3). (c) Calculate P(X < 4. 12 | X > 1. 638) Which of the following is NOT something that Samantha can do to improve her level of happiness? a. find faithb. take control of her timec. buy item she wantsd. get enough sleep