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The 2.7.4 practice on Apex in geometry focuses on the Pythagorean theorem and its applications. Students are assessed on their ability to apply the theorem to solve problems involving distances, heights, and lengths in right triangles.

The concept of 2.7.4 practice on Apex in geometry is a crucial topic that students must understand to excel in the subject. Geometry is the study of shapes, sizes, positions, and angles of objects and figures in space. The 2.7.4 practice on Apex in geometry mainly focuses on the Pythagorean theorem and its applications.

The Pythagorean theorem is a mathematical formula that is used to calculate the length of a right triangle's hypotenuse. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem is one of the most fundamental concepts in geometry, and it is essential to understand how to apply it in problem-solving. The 2.7.4 practice on Apex in geometry provides students with an opportunity to test their understanding of the Pythagorean theorem.

Students are expected to apply this theorem to solve problems related to distance, height, and length. The practice tests are designed to assess students' ability to use the Pythagorean theorem to calculate the length of the hypotenuse in a right triangle.

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Answer:

3.5 x 2.5=8.75

Step-by-step explanation:

Answer:

(a) The probability that a contestant allowed to stay in the first episode is 0.5

(b) The probability that a contestant will be allowed to stay during both is 0.25

Step-by-step explanation:

The given parameters are;

The probability that a contestant who has been bribing the judges will be allowed to stay = 1

The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3

The proportion of the contestant that has been bribing the judges = 1/4

The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round

(a) Let the total number of contestants = x

Therefore;

The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2

Which gives that, half of the contestants make it to the second round

The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;

Probability = (The number of required outcome)/(The number of possible outcome)

∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5

The probability that a contestant allowed to stay in the first episode = 0.5

(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;

The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)

Therefore;

The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2

The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4

Therefore, the number of contestant that will be allowed to stay after both episode = x/4

Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)

∴ Pₐ₁₂ = (x/4)/x  = 1/4 = 0.25

The probability that a contestant will be allowed to stay during both = 0.25.

Answer:

rod wave and 144 for sure

Step-by-step explanation:

rod wave is fat which means he is better

Answer:

12x12 is 144

Step-by-step explanatio

Answer:

Step-by-step explanation:

We know that the volume of a sphere/globe is given as

V=4 /3πr^3

but the circumference is expressed as

C=2πr

solving for r given  that C=24

24=2*3.142r

24=6.284r

r=24/6.284

r=3.8in

put r=3.6 in the expression for volume we have

V=4 /3π(3.8)^3

V=4 /3π(55

V=(220.59*3.142)/3

V=693.12/3

V=231in^3

The volume of the globe is 231in^3

The volume of the globe is 233  cubic inches.

Important information:

We need to find the volume of the globe.

Let [tex]r[/tex] be the radius of the globe.

Circumference of the globe along the equator is:

[tex]C=2\pi r[/tex]

[tex]24=2\pi r[/tex]

[tex]\dfrac{24}{2\pi }=r[/tex]

[tex]\dfrac{12}{\pi}=r[/tex]

Volume of the globe is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]

[tex]V=233.444...[/tex]

[tex]V\approx 233[/tex]

Therefore, the volume of the globe is 233  cubic inches.

Find out more about 'Volume of sphere' here:

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Answer:

1. irrational number

2. rational number

3. terminating decimal

4. repeating decimal

Step-by-step explanation:

1. If x isn't rational, it must be an IRRATIONAL NUMBER(the root I usually means not, hence the opposite of rational)

2. RATIONAL NUMBER

3. TERMINATING DECIMAL

4. 0.77777...= REPEATING DECIMAL(7 is repeating)

Answer:

15

Step-by-step explanation:

i had this on a test

To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?

5x +2 = 5x + 5 (subtract 5x and 2 on both sides)

0 = 3 No solution

How could you change the equation so it has infinitely many solutions?

Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.

What would infinitely many solutions mean in terms of the situation?

x represents the number of tiles they used

Answer:

50% take 37/74 ×100 to get the answer

The correct answer is 50.trust me it is

9514 1404 393

Answer:

Step-by-step explanation:

As with finding distances on a number line, the easiest way is to subtract the smaller coordinate from the larger. Here, the "number line" is the arc at the edge of the protractor. The corresponding coordinates are ...

  S: 40°

  R: 70°

  Q: 100°

  P: 160°

The measure of an angle with its vertex at V will be the difference between the "coordinates" of the endpoints of the arc it intercepts. That is ...

  m∠SVR = "R" - "S" = 70° -40° = 30°

The other angles are found the same way:

  m∠PVR = 160° -70° = 90°

  m∠SVQ = 100° -40° = 60°

  m∠SVP = 160° -40° = 120°

  m∠RVQ = 100° -70° = 30°

Answer:

41/8

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

i believe the answer is 63

Answer:

B. 170.85

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value

-Hope this helps

Answer:

x=28 Hope this helps

Answer:

y + 0 = 5 ⋅ ( x + 1 )

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula

 y − y 1 = m ( x − x 1 ).

Answer: My answer is (5,-1) sorry for the stop - typing I had to do something.

Answer:

108

Step-by-step explanation:

72 / 2 = 36 x 3 = 108 yup yup

Answer:

x = 1.25

Step-by-step explanation:

7(4 - 2x) - 6x = 3

(28 - 14x) - 6x = 3

-28                  - 28

- 14x - 6x = - 25

- 20x = - 25

/ -20    / -20

x = 1.25

Answer:

I think the answer is 5a^2+8

Step-by-step explanation:

[tex]12a^{2} + 6 - 7a + 2 \\ 5a^{2} + 6 + 2 \\ 5a^{2} + 8[/tex]

Answer:

D

Step-by-step explanation:

=(1/2)*2n+(1/2)*6

=n+3

Answer:

D

Step-by-step explanation:

=(1/2)*2n+(1/2)*6

=n+3

Answer:

Explained below

Step-by-step explanation:

In naming a segment, we are essentially naming a line that has definite starting and endpoints. For example if the starting point of the segment is A and the endpoint is B, we can name it "segment AB".

In another example, a segment can be named with a single letter. For example the point from A to B can be referred to as "segment y" if AB is part of maybe a square.

Whereas, in writing a distance, we are essentially writing the measurement of length between the two endpoints. For example if the distance between AB is 20 metres, we can write distance between AB = 20 metres

Answer:

Uncle's earnings is $2400

Step-by-step explanation:

Represent his uncle's earnings with x

$600 less than twice what your uncle earns is represented as:

[tex]2x - 600[/tex]

Since, his aunt's earnings is $4200.

We have:

[tex]2x - 600 = 4200[/tex]

Add 600 to both sides

[tex]2x - 600 + 600= 4200 + 600[/tex]

[tex]2x = 4800[/tex]

Solve for x

[tex]x = 4800/2[/tex]

[tex]x = 2400[/tex]

Hence, His uncle's earnings is $2400

Answer:

No Solution

Step-by-step explanation:

I think this will help you

Infinitely many, because if you subtract 5x from both sides, 4 = 4, and that is true at all times, no matter what x is.

Answer:

Δy = 5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hi lol