A statement we accept as true without proof is a?

Answers

Answer 1

Answer: Its called a postulate. Hope this helped!

Answer 2

Answer: Theorem which means a statement without a proof.

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"Please tell the H.C.F. (Highest Common Factor) of 108, 162, and 270."

Answers

Answer:

Step-by-step explanation:

2*54 = 108

3*54 = 162

5*54 = 270

An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)

Answers

Answer: 4

Step-by-step explanation: I got this right on Edmentum.

The minimum distance between the asteroid and the sun is 10 - 6 =4

The given hyperbolic path defined as
divide both the sides by 576,

The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

Steve has 120 feet of fence to make a rectangular kennel for his dogs. He will use his house as one side. Write an algebraic expression for the kennel's length.

Answers

It would be 4x feet, where x=30.

I’ve been trying to work this out for a while…
Please give the answer with explanation

Answers

a) Yes, The average speed of the train could have been greater than 145 km/h,

b) the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

a) To determine if the average speed of the train could have been greater than 145 km/h, we need to calculate the maximum possible average speed given the track length rounded to the nearest 10 km.

The track length is 290 km, rounded to the nearest 10 km. This means the actual track length could be anywhere between 285 km (290 km - 5 km) and 295 km (290 km + 5 km).

To find the maximum average speed, we'll assume the train took the minimum possible time (120 minutes) to cover the maximum possible track length (295 km):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

Since 2.4583 km/minute is greater than 145 km/h (which is approximately 2.4167 km/minute), the answer is:

Yes, the average speed of the train could have been greater than 145 km/h.

b) Now that we know the track was measured to the nearest 5 km, we'll calculate the new maximum average speed in km per minute based on the maximum possible track length (295 km) and the minimum possible time (120 minutes):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

So, the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

Learn more about average speed here:

brainly.com/question/29811573

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What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Answers

The image of the point (-4, -7) after a reflection over the x-axis is (-4, 7)

Calculating the image of the point after a reflection over the x-axis?

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

Point = (-4, -7)

Transformation rule

A reflection over the x-axis

The rule of a reflection over the y-axis is

(x, y) = (x, -y)

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

Image = (-4, 7)

Hence the image of the point after a reflection over the x-axis is (-4, 7)

Answers

There is a 83.8% chance that the player will have at least 1 missed free throw.
5000 · 0.838 = 4190 simulations

Answer:

4190

Step-by-step explanation:

Given that,

Probability theory predicts that there is a 16.2% chance of a particular basketball player making 5 free throws in a row.

Let us assume that, A be the event that, 5 free throws happen. So

$P(A)=0.162$

So the probability of the event of not happening the event A or event of missing at least 1 free throw will be,

$P(A^c)=1-0.162=0.838$

So, in 5000 trial, number of missed free throw will be,

$=0.838* 5000=4190$

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the model an=395n +5419 describes the cost of tution and fees at public colleges in academic year n, where n=1 corresponds to the school year ending in 2007,n=2 to the school year ending in 2008 and so on four yearsuse this and the formula for sn to find the total cost of tution and fees at public colleges for four years

Does anyone know how to to explain slope in a easy way

Solve. 1/4 * 5/4 divided by 10/3

What is the slope of a line through (3,6) and (4,2)