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DENIUS [597]
3 years ago
6

A square with a side length of 2 units is dilated on a coordinate plane using the origin as the center of dilation. The resultin

g square has a side length of 16 units. Determine the scale factor used to create this dilation.
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
I literally know that it’s that it’s that
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Answer: x - 10
Explanation: less than means subtraction
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The answer to the problem is b
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mamaluj [8]

Answer:C

20-3=17

Step-by-step explanation:

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In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer
laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0
3 years ago
A roster for a baseball team has 12 players. the coach is randomly making the batting order for 9 players. what is the probabili
andrey2020 [161]
The probability of you being the leadoff hitter is <span>8.3%.</span>

Explanation:

The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.

Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600

The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800

The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters 
</span>   = 6652800 / 79833600
   = 1 / 12 
   = 0.08333
   = 8.3%

Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.


3 0
3 years ago
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