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m_a_m_a [10]
3 years ago
8

Help me with this one

Mathematics
1 answer:
Gwar [14]3 years ago
5 0
32 us 8 percent of 400
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3) Consider the sequence -11 ; 2sin3x ; 15; ...
DiKsa [7]

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

8 0
3 years ago
If DK PVX, which of the following statements must also be true Check all that apply
Oxana [17]
I think it’s AVPXADK
8 0
3 years ago
Is 1/3 bigger than 1/2
daser333 [38]
No, 1/2 is bigger than 1/3 because:-

1/2 = 3/6
1/3 = 2/6

Compare

3/6 is larger, which means 1/2 is larger since they both equal each other. 

Answer: 1/2 is greater than 1/3
4 0
3 years ago
Read 2 more answers
Given: <br><br> ∆SPM, PK⊥ SM<br><br> SP = 25, SM = 28, PK = 9<br><br> Find: m∠S, m∠M, PM
nevsk [136]

Answer:

∠S = 21.10°

∠M = 79.45°

PM = 9.16

Step-by-step explanation:

Here Pythagorean theorem and trigonometry suffice to solve our problem.

From the Pythagorean theorem we get:

KM^2+9^2=PM^2 and

(25-KM)^2+9^2=25^2.

We solve for KM in the second equation and get:

(25-KM)=\sqrt{25^2-9^2}

\therefore KM=25-\sqrt{25^2-9^2} =\boxed{1.68}

Now since

SK+KM=25\\\\ SK=\boxed{23.32}

Therefore

{\angle}S=Tan^{-1}(\frac{PK}{SK}) = Tan^{-1}(\frac{9}{23.32})=21.10^o

and

{\angle}M=Tan^{-1}(\frac{PK}{KM}) = Tan^{-1}(\frac{9}{1.68})=79.45^o.

And finally again from the Pythagorean theorem:

PM^2=PK^2+KM^2=9^2+1.68^2

\therefore PM=\sqrt{9^2+1.68^2} =9.16.

Thus,

∠S = 21.10°

∠M = 79.45°

PM = 9.16.

7 0
4 years ago
Adding and Subtracting Complex Numbers.<br><br> Add.<br><br> (-3+3i)+(-6+6i)
Arisa [49]
<span>(-3 + 3i) + (-6 + 6i) =

= -3 + 3i + (-6) + 6i

= 3i + 6i + (-3) + (-6)

= 9i + (-9)

= 9i - 9
</span>
4 0
3 years ago
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