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3 years ago

9

Select the correct answer.

1 answer:

Ierofanga [76]3 years ago

7 0

Answer:

$19.2x+96$ units

Step-by-step explanation:

The perimeter of a square is 4 times the length of one side.

The length of the sides of a square is given by the expression $4.8x+24$

To find the perimeter, we multiply this expression by 4.

$Perimeter=4(4.8x+24)$

We expand to obtain:

$Perimeter=4*4.8x+4*24$

This simplifies to:

$Perimeter=19.2x+96$

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Jerry is trying to earn $209 for some new video games. If he charges $47 to mow a lawn, how many lawns will he need to mow to ea

Helen [10]

At least 5. because 47x4=188 which isn’t enough money, and 47x5=235, which goes over but you have to have more money than less money

6 0

3 years ago

[tex]cos {}^{4} α+sin {}^{4} α= \frac{1}{4} (3+cos4α)<br>Prove:<br>

asambeis [7]

Given:

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

To prove:

The given statement.

Proof:

We have,

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

$LHS=\cos^4 \alpha+\sin^4\alpha$

$LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2$

$LHS=(\cos^2 \alpha+\sin^2\alpha)^2-2\sin ^2\alpha\cos^2 \alpha$ $[\because a^2+b^2=(a+b)^2-2ab]$

$LHS=(1)^2-2(1-\cos^2 \alpha)\cos^2 \alpha$ $[\because \cos^2 \alpha+\sin^2\alpha=1]$

$LHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

Now,

$RHS=\dfrac{1}{4}(3+\cos 4 \alpha)$

$RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha]$

$RHS=\dfrac{1}{4}[2+2(2\cos^2 \alpha-1)^2]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)]$ $[\because (a-b)^2=a^2-2ab+b^2]$

$RHS=\dfrac{1}{4}[2+8\cos^4 \alpha-8\cos \alpha+2]$

$RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha]$

$RHS=1+2\cos^4 \alpha-2\cos \alpha$

$RHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

$LHS=RHS$

Hence proved.

8 0

3 years ago

a coin is tossed and an eight sided die numbered 1 through 8 is rolled. find the probability of tossing a head and then rolling

Alekssandra [29.7K]

Answer:

The answer is 4.

Step-by-step explanation:

There are 16 possible outcomes of this, and of those, only 4 of them result in the coin landing on heads and landing on a number that is greater than 4.

7 0

3 years ago

The question is on the sheet

Ghella [55]

Y=1/2x-5 is the answer

6 0

2 years ago

Simplify. <br><br> -22+(-5)•6

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Well when combining -5 times 6 you get-22-30 which is -52

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3 years ago

Read 2 more answers