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expeople1 [14]
3 years ago
8

The erea of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

decided to double the area of her garden. Enter an expression that represents the area of Mary's new garden.
Mathematics
1 answer:
crimeas [40]3 years ago
7 0

Answer: The expression that represents the area of Mary's new garden =2x^2

Step-by-step explanation:

The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x

Area = x × x

Area = x^2

She decided to double the area of her garden

New area = 2(x × x)

New area = 2x^2

The expression that represents the area of Mary's new garden =2x^2

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William invested $5000 in an account that earns 3.8% interest, compounded annually. The formula for compound interest is A(t) =
Anestetic [448]
I think you have mistaken the formula.
I will do it this way.

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6 0
3 years ago
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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

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5 0
3 years ago
Circumference of a circle of radius 13.4cm
Sedbober [7]

Answer:

26.8 pi or approx. 84.19

Step-by-step explanation:

Circumference can be found by multiplying the diameter by pi. The diameter is twice the radius, which in this case is 13.4, so it's 13.4 * 2 = 26.8.

Multiply by pi, and you've got your answer!

5 0
3 years ago
I really need the answer now!! Thanks !
Helga [31]
When you collect terms, for the first one you get
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4 0
4 years ago
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Evaluate the expression.<br> 7^0
il63 [147K]

Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

7 0
2 years ago
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