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uysha [10]
3 years ago
11

Which equation is an identity? (Can someone explain to me how they got their answer, I don't get this.)

Mathematics
1 answer:
Greeley [361]3 years ago
7 0
5w + 8 - w = 6w - 2(w -4).

Let's reduce the equation on the left:

4w + 8; (1)

and now let's reduce the equation on the right

6w - 2w +8 = 4w +8 (2).

We notice that (1) ≈ (2), and this is the only IDENTITY

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Working alone and at a constant rate, Machine A takes 3 hours to create a widget. Machine B, working alone and at a constant rat
PilotLPTM [1.2K]

Answer:

Time required by Machine B to create a widget = 4 hours

Step-by-step explanation:

Time taken by Machine A ( T_{A} ) = 3 hours

Time taken by Machine B ( T_{B} )= x hours

Time taken by both machines by working together = 12 hours

The time required to both machines by  working together to finish a task is given by the formula = \frac{T_{A} {T_{B} } }{T_{A} + T_{B} }

Put the values in above formula we get

⇒ T =  \frac{3 x}{3 + x}

⇒ 12 =  \frac{3 x}{3 + x}

⇒ 36 + 12 x = 3 x

⇒ x = - 4 hours

This is the time required by Machine B to create a widget.

8 0
3 years ago
Elevii au studiat o schiță a corpului uman. Ei au observat că ar putea trasa pe schiță un
julia-pushkina [17]

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

8 0
3 years ago
0.75(4x + 2) = 5 - (x + 1.5)<br> X =
djverab [1.8K]

Answer:

The answer is x=1/2 or x=0.5

7 0
3 years ago
Read 2 more answers
If cosine theta equals negative square root of three over two and pi over two less than theta less than pi, what are the values
Natalka [10]
<h2>Answer:</h2>

The values of sinθ and tanθ are:

\sin \theta=\dfrac{1}{2}

and

\tan \theta=-\dfrac{1}{\sqrt{3}}=-\dfrac{\sqrt{3}}{3}

<h2>Step-by-step explanation:</h2>

It is given that:

\cos \theta=-\dfrac{\sqrt{3}}{2}

where

\dfrac{\pi}{2}

i.e. the angle θ lie in the second quadrant.

Also, we know that in the second quadrant sine and cosecant function is positive.

whereas cosine,secant, tangent and cotangent functions are negative.

Now, we know that:

\cos (\dfrac{5\pi}{6})=-\dfrac{\sqrt{3}}{2}

i.e. here

\theta=\dfrac{5\pi}{6}

Hence, we have:

\sin (\theta)=\sin (\dfrac{5\pi}{6})\\\\i.e.\\\\\sin \theta=\dfrac{1}{2}

Also,

\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\\\i.e.\\\\\tan \theta=\dfrac{\dfrac{1}{2}}{\dfrac{-\sqrt{3}}{2}}\\\\i.e.\\\\\tan \theta=\dfrac{1}{-\sqrt{3}}\\\\i.e.\\\\\tan \theta=-\dfrac{1}{\sqrt{3}}

Now, on rationalizing we have:

\tan \theta=-\dfrac{\sqrt{3}}{3}

7 0
4 years ago
Read 2 more answers
Find the measure of the missing angles.
Karolina [17]

Answer:

angles b and c should be 153° each.

Step-by-step explanation:

We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°

4 0
3 years ago
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