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3 years ago

Does anyone know the answers please help!

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

I am sick

Step-by-step explanation:

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Double angle identity. Just 5 questions. Really need help as my teacher has been frustrated with me

BartSMP [9]

The double angle identities are

$\sin(2x)=2\sin x\cos x$

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

Then

$2\sin\dfrac\pi6\cos\dfrac\pi6=\sin\left(\dfrac{2\pi}6\right)=\sin\dfrac\pi3$

$\cos^2\dfrac\pi{10}-\sin^2\dfrac\pi{10}=\cos\left(\dfrac{2\pi}{10}\right)=\cos\dfrac\pi5$

The second identity together with the Pythagorean identity, $\sin^2x+\cos^2x=1$ , gives us another equivalent expression:

$\cos^2x-\sin^2x=\cos^2x-(1-\cos^2x)=2\cos^2x-1$

$2\cos^2(0.5)-1=\cos(2\cdot0.5)=\cos1$

4 0

3 years ago

Read 2 more answers

Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road

kobusy [5.1K]

Answer:

The correct answer is: $y=\frac{1}{3} x + 20$

Step-by-step explanation:

As stated in the question that x represents the number of minutes his normal commute takes. Here the keyword is normal; in the normal commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via toll road.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

$x_{toll\_road}=\frac{1}{3}x$

Without considering Ken getting late, the equation would become the following:

$y=\frac{1}{3} x$ --- (A)

As Ken is leaving late, we have to incorporate that time as well by adding it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

$y=\frac{1}{3} x+20$

Hence, the correct answer is $y=\frac{1}{3} x + 20$ .

4 0

4 years ago

I need help with this ^

Dmitriy789 [7]

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract it and it's 3?

5 0

3 years ago

Find m<AED help me with this hurry!!!

Nataly_w [17]

First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).

Your equation should look like this: m∠AEB = m∠DEC

Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:

(3x + 21) = (2x + 26)

Subtract 2x from both sides.

x + 21 = 26

Subtract 21 from both sides.

x = 5

Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.

m∠AEB = 3(5) + 21

15 + 21 = 36

m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.

Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.

36 + m∠AED = 180

Subtract 36 from both sides.

m∠AED = 144°

4 0

3 years ago

What is the area of this figure? Enter your answer in the box.

lions [1.4K]

Consider this option:
S=S1+S2, where S1 is area of the parallelogram, S2 is area of the triangle.
S=9*5+0.5*8*9=45+32=77 m².

Answer: 77 m.²

4 0

3 years ago