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Katen [24]
3 years ago
8

Please help asap!

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
Approximately 21.406 degrees.
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Find the length of the third side. If necessary, round to the nearest tenth.<br> 6<br> 14
Romashka-Z-Leto [24]

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = \sqrt{160} ≈ 12.6 ( to the nearest tenth )

8 0
3 years ago
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is _____
Mkey [24]

Answer:

After ten years his salary is x2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can somebody explain to me how they got 3^4(x) = 3^3(x+2)? Then explain what happened to the 3 in 3^4 and the 3 in 3^3? Please a
musickatia [10]

Answer:

x=6

Step-by-step explanation:

81^x = 27 ^(x+2)

81 = 3^4    and 27 =3^3  so replace 81 and 27 in the equation

3^4^x = 3^3^(x+2)

When we have a power to a power we can multiply the exponents

a ^b^c = a^(b*c)

3^(4x) = 3^(3*(x+2))

Since the bases are the same, the exponents  have to be the same

a^b = a^c   means b=c

4x = 3(x+2)

Now we can solve for x

Distribute

4x = 3x+6

Subtract 3x from each side

4x-3x = 3x-3x+6

x = 6

3 0
3 years ago
Find the sample space for the experiment.
Bingel [31]

Answer:

The sample space is:

AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE

Step-by-step explanation:

The sample space of an experiment is a set of all the possible values that satisfies that experiment.

The five supervisors are A, B, C, D and E.

Two are to selected.

The number of ways to select 2 supervisors  from 5 is: {5\choose 2}=\frac{5!}{2!(5-2)!} =\frac{5!}{2!\times 3!}  = 10

The sample space will consist of 10 combinations.

The sample space is:

AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE

5 0
3 years ago
What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the
juin [17]

Answer:

Step-by-step explanation:

⊕ The slope will increase

4 0
3 years ago
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