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MAVERICK [17]
2 years ago
7

Question 6 of 25 What is sin 45°?

Mathematics
1 answer:
guajiro [1.7K]2 years ago
3 0

Answer:

B.

\frac{1}{ \sqrt{2} }

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45% of 80 show your work
Elan Coil [88]
.45 times 80

8 times 4 =32
8 times 0.5 =4

Just add these together to get 36.
4 0
3 years ago
Read 2 more answers
A football stadium holds 17,700 seats. The lower level has 300 seats less than 4 times the number of seats in the upper level. T
grigory [225]

Answer:

6x + 200 = 17,000

Step-by-step explanation:

Lower level = 4x - 300

Mid level = 2x + 500

Combine the two equations to find the number of seats in the upper level

(2x + 500) × (4x - 300) = 17,000

Combine like terms

4x × 2x + 500 - 300 = 17,000

<em>6x + 200 = 17,000</em>

3 0
2 years ago
Read 2 more answers
CALCULUS - Find the values of in the interval (0,2pi) where the tangent line to the graph of y = sinxcosx is
Rufina [12.5K]

Answer:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

Step-by-step explanation:

We want to find the values between the interval (0, 2π) where the tangent line to the graph of y=sin(x)cos(x) is horizontal.

Since the tangent line is horizontal, this means that our derivative at those points are 0.

So, first, let's find the derivative of our function.

y=\sin(x)\cos(x)

Take the derivative of both sides with respect to x:

\frac{d}{dx}[y]=\frac{d}{dx}[\sin(x)\cos(x)]

We need to use the product rule:

(uv)'=u'v+uv'

So, differentiate:

y'=\frac{d}{dx}[\sin(x)]\cos(x)+\sin(x)\frac{d}{dx}[\cos(x)]

Evaluate:

y'=(\cos(x))(\cos(x))+\sin(x)(-\sin(x))

Simplify:

y'=\cos^2(x)-\sin^2(x)

Since our tangent line is horizontal, the slope is 0. So, substitute 0 for y':

0=\cos^2(x)-\sin^2(x)

Now, let's solve for x. First, we can use the difference of two squares to obtain:

0=(\cos(x)-\sin(x))(\cos(x)+\sin(x))

Zero Product Property:

0=\cos(x)-\sin(x)\text{ or } 0=\cos(x)+\sin(x)

Solve for each case.

Case 1:

0=\cos(x)-\sin(x)

Add sin(x) to both sides:

\cos(x)=\sin(x)

To solve this, we can use the unit circle.

Recall at what points cosine equals sine.

This only happens twice: at π/4 (45°) and at 5π/4 (225°).

At both of these points, both cosine and sine equals √2/2 and -√2/2.

And between the intervals 0 and 2π, these are the only two times that happens.

Case II:

We have:

0=\cos(x)+\sin(x)

Subtract sine from both sides:

\cos(x)=-\sin(x)

Again, we can use the unit circle. Recall when cosine is the opposite of sine.

Like the previous one, this also happens at the 45°. However, this times, it happens at 3π/4 and 7π/4.

At 3π/4, cosine is -√2/2, and sine is √2/2. If we divide by a negative, we will see that cos(x)=-sin(x).

At 7π/4, cosine is √2/2, and sine is -√2/2, thus making our equation true.

Therefore, our solution set is:

\{\frac{\pi}{4}, \frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\}

And we're done!

Edit: Small Mistake :)

5 0
2 years ago
Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.​
Rzqust [24]
Answer: x = 13/5

Explanation:

(x+4)/(3x+1) = 3/4

Cross multiply:

4(x+4) = 3(3x+1)
4x + 16 = 9x + 3
4x - 9x = 3 - 16
-5x = -13
x = -13/-5
x = 13/5
3 0
3 years ago
Read 2 more answers
4. Why does Miss Maudie only have two small cakes instead of three
Rudiy27

Answer:

B

Step-by-step explanation:

She only has two cakes because that's all she bought.

8 0
3 years ago
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