What is the least perimeter of a rectangle with an area of 32 square feet

1 answer:

3 0

<span> The least perimeter occurs when rectangle is square.

So you can start by taking square root of area; </span>√32

So each side is √32 and there are 4 sides

Hence least perimeter is 4√32 = 16√2 ≈ 22.627.

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How do I verify this identity? I know you should write sin2a as sin(a+a).

Kisachek [45]

SOLUTION

Given the question in the image, the following are the solution steps to verify the identity

STEP 1: Write the given identity

$\sin 2\alpha=2\sin \alpha\cos \alpha$

STEP 2: Verify the identity

$\begin{gathered} \sin 2\alpha=2\sin \alpha\cos \alpha \\ \text{Consider the left hand side of the above trigonometry identity.} \\ \text{That is, }\sin 2\alpha\text{.} \\ \text{ Rewrite }\sin 2\alpha\text{ as }\sin (\alpha+a) \\ \text{ It is known that }\sin (a+b)=\sin (a)\cos b+\cos (a)\sin (b) \\ U\sin g\text{ this statement above, we have;} \\ \sin (\alpha+a)=\sin a\cos \alpha+\cos a\sin \alpha \\ \text{It is known that }xy+yx=xy+xy=2\times xy=2xy \\ U\sin g\text{ this statement above, we have;} \\ \sin a\cos \alpha+\cos a\sin \alpha=\sin a\cos \alpha+\sin \alpha\cos \alpha=2\times\sin \alpha\cos \alpha=2\sin \alpha\cos \alpha \\ \text{Hence, }\sin 2\alpha=2\sin \alpha\cos \alpha \end{gathered}$

The verification of the identity is as seen above.

7 0

6 months ago

33 is 55% of what number

9966 [12]

Because percentage is the numerator divided by the denominator of a fraction times one-hundred, we can set up this equation:

$\frac{33}{x} =0.55$

Now, we cross multiply.

$33= 0.55x$

Next, we divide both sides by 0.55 to get x by itself.

x = 60

So, 33 is 55% of 60.

6 0

2 years ago

Read 2 more answers

How do I set this up

Mrac [35]

To justify the yearly membership, you want to pay at least the same amount as a no-membership purchase, otherwise you would be losing money by purchasing a yearly membership. So set the no-membership cost equal to the yearly membership cost and solve.

no-membership costs $2 per day for swimming and $5 per day for aerobic, in other words, $7 per day. So if we let d = number of days, our cost can be calculated by "7d"

a yearly membership costs $200 plus $3 per day, or in other words, "200 + 3d"

Set them equal to each other and solve:

7d = 200 + 3d

4d = 200

d = 50

So you would need to attend the classes for at least 50 days to justify a yearly membership. I hope that helps!

5 0

2 years ago

How many centimeters are in 1.3 meters

Fiesta28 [93]

There are 130 centimeters in 1.3 meters

4 0