Are similar and congruent the same? please explain your answer

Answer:

275 miles

Step-by-step explanation:

I assume all towns are on the same line. Then, town C is 5.5 cm from town A on the map since 3.5 cm + 2 cm = 5.5 cm.

The real distance can be calculated with a proportion.

2/100 = 5.5/x

2x = 5.5 * 100

2x = 550

x = 275

Answer: 275 miles

Answer: B

Step-by-step explanation:

There are 11/18 miles does the car travel in 1 minute.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car travels 2 3/4 miles in 4 1/2 minutes.

Now,

Since, A car travels 2 3/4 miles in 4 1/2 minutes.

Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2

                                                                       = 11/4 ÷ 9/2

                                                                       = 11/4 × 2/9

                                                                       = 11/18 miles

Thus, The car travel 11/18 miles in 1 minute.

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Step-by-step explanation:

Remember SOHCAHTOA

tan(A)=Opposite of Angle A/ Adjacent of Angle A

Sin (B)= Opposite of Angle B/ Hypotenuse

Cos (A)= Adjacent of Angle A/ Hypotenuse

So

\( \tan(a ) = \frac{4}{3} \)

\( \sin(b) = \frac{3}{5} \)

\( \cos( \alpha ) = \frac{3}{5} \)

Answer:

below

Step-by-step explanation:

Standard form

ax + gy = c       re-arrange to slope -int form   subtract ax from both sides of the equation

gy = - ax + c       divide thru by 'g'

y = -a/g x + c/g      - a/g would be the slope , m   and c/g would be the y-axis

  intercept , b    for   slope intercept form    y - mx +b  

In order to find the volume of a composite figure, we will first need to break it down into simpler shapes whose volumes we can calculate and add them together.

We can use this same method to find the volume of a composite figure. For example:Let's say we have a composite figure consisting of a cylinder and a rectangular prism. We can break it down into a cylinder and a rectangular prism, and find the volume of each separately. Once we have done that, we can simply add the volumes together to find the total volume of the composite figure. We will round our final answer to the nearest tenth.

Let's factorize the denominator to solve the given question, 2x³ - 25x⁴ / x² - 2x - 8We need to solve the denominator: x² - 2x - 8Now, let's use the quadratic formula to solve the denominator. x² - 2x - 8  Let's find the roots of the quadratic function x² - 2x - 8.x = (-b ± √(b² - 4ac)) / 2a

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Answer:

Step-by-step explanation:

It is asking how many times the flower bed expanded:

Expanded:-

\(\\ \star\sf\longmapsto \dfrac{75}{4}\div \dfrac{25}{4}\)

\(\\ \star\sf\longmapsto \dfrac{75}{4}\times \dfrac{4}{25}\)

\(\\ \star\sf\longmapsto \dfrac{75}{25}\)

\(\\ \star\sf\longmapsto 3times\)

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AOBC is a parallelogram ,

Thus :

\(OA = BC = a\)

And ;

\(AC = OB = b \)

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M is the midpoint of AC ,

So :

\(AM = MC = \frac{b}{2} \\ \)

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According to case of Cosine in ∆ OAM :

\( {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ \)

So :

\( {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ \)

\( {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ \)

_________________________________

I have something more to tell.

Just for know more...

According to the case of Sine in ∆ OAM :

\( \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ \)

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Answer:

The alternative interior angles theorem.

Step-by-step explanation:

The alternate interior angles theorem states that, when two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Answer:

Hector's estimate is reasonable.

Step-by-step explanation:

His estimate is reasonable because:

Option (A) ΔDAB ~ΔDAC this similarity statement would be true for the figure.

We know that two triangles are similar if they have the same ratio of corresponding sides and equal of corresponding angles.

The fundamental theorem of similarity states that a line segment splits of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Similar triangles are the triangles that look similar to each other but their sizes might not be exactly the same. Two triangles will be similar if the angles are equal and sides are in the same ratio or proportion. Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides must be the same.

In Δ DAB and Δ DAC

DA = DA

∠D = ∠D

and AB proportional to AC.

Therefore Δ DAB ~ Δ DAC would be true for the figure.

Given question doesn't provide figure. I have attached figure of triangle to complete the question.

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Answer:

The height of the cylinder is 10 cm.

Step-by-step explanation:

1. The volume of a cylinder is given by

-V = pi r^2 h  where r is the radius and h is the height

- 90 pi = pi r^2 h

2. We know the radius is 3

-90 pi = pi (3)^2 h

-90 pi = 9 pi h

3. Divide each side by 9 pi

- 90 pi /9 pi = 9 pi h / 9pi

- 10 =h

The height of the cylinder is 10 cm.

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Answer:

your question is not technically detailed enough

Step-by-step explanation:

provide more information Sir

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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The mechanical power of the pump is 2,648,366.75 W (approx).

Given Data:

Flow rate of water = 0.03 m³/s

Diameter of the pipe = 0.025 m

Pipe friction factor = 0.007

Difference in height between two reservoirs = 45 m

We have to find the mechanical power of the pump in watts.

Power is defined as the amount of work done per unit time.

So, we can write the formula for power as:

P = W/t

Where,

P is the power in watts

W is the work done in joules and

t is the time taken in seconds.

The work done in pumping the water is given as:

W = mgh

where

m is the mass of the water,

g is the acceleration due to gravity and

h is the height difference between the two reservoirs.

To calculate the mass of water, we have to use the formula:

Density = mass/volume

The density of water is 1000 kg/m³.

Volume = Flow rate of water/ Cross-sectional area of the pipe

Volume = 0.03/π(0.025/2)²

Volume = 0.03/0.00004909

Volume = 610.9 m³/kg

The mass of water is given by:

M = Density x Volume

M = 1000 x 610.9

M = 610900 kg

So, the work done is given by:

W = mgh

W = 610900 x 9.8 x 45

W = 2,642,710 J

Let's calculate the power now:

V = Flow rate of water/ Cross-sectional area of the pipe

V = 0.03/π(0.025/2)²

V = 0.03/0.00004909

V = 610.9 m/s

Velocity head = V²/2g

Velocity head = 610.9²/2 x 9.8

Velocity head = 19051.26 m

Pipe friction loss = fLV²/2gd

where,

L is the length of the pipe

V is the velocity of water

d is the diameter of the pipe

f is the pipe friction factor

Given, L = 150m

Pipe friction loss = 0.007 x 150 x 610.9²/2 x 9.8 x 0.025⁴

Pipe friction loss = 5,656.75 m

Mechanical power = (W+pipe friction loss)/t Mechanical power

                               = (2,642,710 + 5,656.75)/1Mechanical power

                               = 2,648,366.75 W

Therefore, the mechanical power of the pump is 2,648,366.75 W (approx).

Hence, the required solution.

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Answer:

I believe it is 40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

If you have 14 girls and the whole class is 35 students in number, you can put that in fraction form (14/35) then just convert the fraction to a decimal to get 0.4 or 40%

Answer:

Option 2 is a representation of independent events.

In option 2, the simulation involves randomly pulling a piece of hard candy out of a bag and eating it, then pulling out another piece. The act of pulling out one piece of candy does not affect the probability of pulling out another piece, as each piece is independent of the others.

In contrast, the other simulations involve dependent events. In option 1, the probability of selecting a slip of paper changes after each selection because the slips of paper are not replaced. In option 3, the probability of getting a certain outcome on the second spin is influenced by the outcome of the first spin. In option 4, the probability of selecting a certain card for the second draw is affected by which card was selected and removed from the deck in the first draw.

Step-by-step explanation:

Answer:

14. 6 x \(10^{17}\)

15. 28.615 x \(10^{10}\)

16. I'm so sorry, I'm not sure!

17. 1.26 x \(10^{10}\)

18. 1.639 x \(10^{-8}\)

19. 2.025 x \(10^{17}\)

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The derivative of t^4*r1(t) is (6t^5, 9t^6, t^4 + 4t^3).

To evaluate the derivative of r1(t).r2(t) using the Product Rule, we first need to find the derivatives of r1(t) and r2(t) separately. The derivative of r1(t) is (2t, 3t^2, 1) and the derivative of r2(t) is (0, 0, e^t). Now we can apply the Product Rule, which states that the derivative of two functions multiplied together is the first function times the derivative of the second function plus the second function times the derivative of the first function. So the derivative of r1(t).r2(t) is:

d/dt (r1(t).r2(t)) = r1(t) * (0, 0, e^t) + r2(t) * (2t, 3t^2, 1)

= (0, 0, t^2*e^t) + (2t*e^3, 2t*e^2, 2t*e^t)

= (2t*e^3, 2t*e^2, t^2*e^t + 2t*e^t)

20. Similarly, to evaluate the derivative of t^4*r1(t) using the Product Rule, we first need to find the derivatives of t^4 and r1(t) separately. The derivative of t^4 is 4t^3 and the derivative of r1(t) is (2t, 3t^2, 1). Now we can apply the Product Rule:

d/dt (t^4*r1(t)) = t^4 * (2t, 3t^2, 1) + r1(t) * 4t^3

= (2t^5, 3t^6, t^4) + (4t^5, 6t^5, 4t^3)

= (6t^5, 9t^6, t^4 + 4t^3)

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Answer:

Step-by-step explanation:

Given functions:

and

Work out the composite f(g(x)):

Answer:

f(g(x)) = -10x - 13

???? = - 8x - 13

Step-by-step explanation:

f(x) = 5x +7

and

g(x) = -2x - 4

f(g(x)) = f(-2x - 4) = 5(-2x - 4) + 7

f(g(x)) = -10x - 20 + 7

f(g(x)) = -10x - 13

f(g(x)) = -2x - 8x - 13

Heuristics refers to rules of thumb that simplify the decision-making process. Heuristics are mental shortcuts that help individuals make decisions quickly, often relying on previous experience or intuition rather than a more systematic approach.

While heuristics can be useful, they can also lead to biases and errors in judgment if they are applied too broadly or without careful consideration. It is important to be aware of these heuristics and how they can affect decision-making processes, especially in complex or high-stakes situations where careful consideration is necessary.

The answer is C.

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Answer: 19 seconds

Step-by-step explanation:

From the question, we are informed that Andrew is descending 57 feet underwater while scuba diving and that he descends at a rate of 3 feet per second.

The number of seconds that it will take Andrew to descend the full distance will be 57 divided by 3. This will be:

= 57/3

= 19 seconds

It'll take Andrew 19 seconds to descend the full distance

Answer: 5n+2. 5×3+2=$. 15+2=$. 17=$.

Answer:

x+6/4=13

Step-by-step explanation:

the result is 11.5