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2 years ago

Which of the following are among the five basic postulates of Euclidean geometry?

Mathematics

1 answer:

lana66690 [7]2 years ago

6 0

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

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A 92.0 kg football player at 6.50 m/s North collides with an 85.0 kg football player running at 6.00 m/s south. The 92.0 kg foot

s2008m [1.1K]

Answer:

-1.13 m/s

Step-by-step explanation:

Parameters given:

Mass of first footballer, M = 92 kg

Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)

Mass of second footballer, m = 85 kg

Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)

Final velocity of first footballer, V = 2.0 m/s

We need to find the final velocity of the second football (v)

Applying the principle of conservation of momentum, we have that, in a system:

Total Initial Momentum = Total Final Momentum

(M * U) + (m * u) = (M * V) + (m * v)

(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)

598 - 510 = 184 + 85v

88 = 184 + 85v

88 - 184 = 85v

-96 = 85v

=> v = -96 / 85

v = -1.13 m/s

The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South

5 0

2 years ago

Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted

denis23 [38]

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

4 0

2 years ago

LESSON 1 SESSION 1

denpristay [2]

Answer:

Between which two tens does it fall? Between 25 and 26 tens

Between which two hundreds does it fall? Between 2 and 3 hundreds

Explanation:

The place-value chart is:

Hundreds Tens Ones

2 5 3

a) Between which two tens does it fall?

Using the place values you can write 253 = 25 × 10 + 3, i.e. 25 tens and 3 ones.

From that you can write:

250 < 253 < 260

250 = 25 × 10 = 25 tens

260 = 26 × 10 = 26 tens

Then, you conclude that 253 is between 25 and 26 tens.

b) Between which two hundreds does it fall?

Using the same reasoning:

253 = 2 × 100 + 5 × 10 + 3 = 253

200 < 253 < 300

200 = 2 hundreds

300 = 3 hundreds

Conclusion: 253 is between 2 hundreds and 3 hundreds.

3 0

2 years ago

Let ∠D be an acute angle such that cosD=0.33. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree

kotegsom [21]

To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.

cos(D) = 0.33

D = cos^-1 (0.33)

D = 70.7 degrees

Hope this helps!! :)

5 0

2 years ago

28. $400 is divided between Kas, Jaspar and Jae so that Kas has twice

Inga [223]

Let's define our variables before anything else:

Kas = S

Jaspar = R

Jae = E

$400 is divided between Kas, Jaspar and Jae

This means S + R + E = 400

Kas has twice as much as Jaspar

This means that S = 2R

Jaspar has three times as much as Jae

This means that R = 3E

Because both of our smaller formulas have R, let's replace everything in the first formula with R

S + R + E = 400

plug in values

2R + R + R/3 = 400

multiply everything by 3 to get rid of the denominator

6R + 3R + R = 1200

add

10R = 1200

divide

R = 120

So Jaspar receives $120

3 0

2 years ago