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2 years ago

14

Find the value of x

1 answer:

Nostrana [21]2 years ago

6 0

Answer: 11

Step-by-step explanation:

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Find u. 30° U 60° 813 Write your answer in simplest radical form, units

UkoKoshka [18]

Answer:

<h2>24 units</h2>

Step-by-step explanation:

Look at the picture.

We have

$a=8\sqrt3\\\\u=a\sqrt3$

calculate

$u=8\sqrt3\cdot\sqrt3=8\cdot3=24$

4 0

3 years ago

Read 2 more answers

The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas

iren [92.7K]

For the last part, you have to find where $f'(t)$ attains its maximum over $0\le t\le8$ . We have

$f'(t)=-6\sin3t+6\cos2t$

so that

$f''(t)=-18\cos3t-12\sin2t$

with critical points at $t$ such that

$-18\cos3t-12\sin2t=0$

$3\cos3t+2\sin2t=0$

$3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0$

$\cos t(3\cos^2t-9\sin^2t+4\sin t)=0$

$\cos t(12\sin^2t-4\sin t-3)=0$

So either

$\cos t=0\implies t=\dfrac{(2n+1)\pi}2$

or

$12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi$

where $n$ is any integer. We get 8 solutions over the given interval with $n=0,1,2$ from the first set of solutions, $n=0,1$ from the set of solutions where $\sin t=\dfrac{1+\sqrt{10}}6$ , and $n=1$ from the set of solutions where $\sin t=\dfrac{1-\sqrt{10}}6$ . They are approximately

$\dfrac\pi2\approx2$

$\dfrac{3\pi}2\approx5$

$\dfrac{5\pi}2\approx8$

$\sin^{-1}\dfrac{1+\sqrt{10}}6\approx1$

$2\pi+\sin^{-1}\dfrac{1+\sqrt{10}}6\approx7$

$2\pi+\sin^{-1}\dfrac{1-\sqrt{10}}6\approx6$

4 0

3 years ago

If the endpoints of AB have coordinates A(9,8) and B(-1,-2) what is the midpoint of AB

suter [353]

Answer:

(4,3)

Step-by-step explanation:

Using the midpoint formula, you find that the midpoint of AB is:

$(\dfrac{9+(-1)}{2},\dfrac{8+(-2)}{2})=(4,3)$

Hope this helps!

4 0

3 years ago

The sum of two numbers is 33 and their difference is 2. What are the numbers?

nata0808 [166]

I would say that it would be a fraction
like 15 1/2 and 17 1/2
cause 15 +17 =32 and 1/2 + 1/2 =2/2 which is 1
32+1=33
Now 17 1/2 - 15 1/2
17-15=2 and 1/2 - 1/2 =0
So the answer could be 15 1/2 and 17 1/2

4 0

3 years ago

Read 2 more answers

PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.

torisob [31]

Answer:

Thr answer is B.

Step-by-step explanation:

x-1^2 = x^2 - 2x +1

Using forming a square shape via formaticals, yes.

5 0

3 years ago