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mel-nik [20]
2 years ago
6

The side of a square is Two raised to the seven halves power inches. Using the area formula A = s2, determine the area of the sq

uare.
Mathematics
2 answers:
AlladinOne [14]2 years ago
4 0

Answer:

Step-by-step explanation:

Area of a square = s²

s is the side length of the square

Given

s = 2^{7 1/2}

s = 2^15/2

Area = ( 2^15/2)²

Area = 2^15

Hence two area of the square is 2^15 inches

ololo11 [35]2 years ago
4 0

Answer:

A = 128 square inches

Step-by-step explanation:

A square is a figure with equal length of sides.

Given a square of side, s, 2^{\frac{7}{2} } inches.

Area of a square, A = length of side x length of side

                            = s x s

                            = s^{2}

Thus,

A = s^{2}

   = (2^{\frac{7}{2} } )^{2}

   = 2^{\frac{14}{2} }

   = 2^{7}

   = 128

A = 128 square inches

The are of the square is 128 square inches.

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In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.
torisob [31]

Answer:

The first choice is correct.

Step-by-step explanation:

First work out the common ratio r:-

a2 = a1r and a5 = a1 r^4

So r^3 = a1r^4 / a1r = 256/ 108

r = cube root (256/-108) =  4/3

So the explicit formula is 108(4/3)^(n-1)

8 0
3 years ago
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PLEASE HELP Simplify (a^6)*(a^8)*(a^n)
Varvara68 [4.7K]

Answer:

a^{14+n}

Step-by-step explanation:

You add the exponents when the number/variable is the same, so:

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a^{14+n}

4 0
3 years ago
On a sunny day, the tree in your backyard casts a shadow of 16 feet. At the same time, you cast a shadow of 4 feet. You are 5 fe
morpeh [17]
Let, the height of a tree = x

Then, x/16 = 5 1/4  / 4
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Hope this helps!
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3 years ago
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Please help with this i genuinely have no clue how to figure it out
astra-53 [7]

Answer: c = 520

Step-by-step explanation:

     f(2) = 578 means that when x = 2, the value is equal to 578. We will plug these knowns in and then solve for c.

Given:

    f(x) = 4x³ + 7x² - x + c

Substitute:

    578 = 4(2)³ + 7(2)² - (2) + c

Distribute:

    578 = 4 * 2³ + 7 * 2² - 2 + c

Raise to the power of 3 and 2:

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Multiply:

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Add:

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Subtract:

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Subtract 58 from both sides:

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Reflexive property:

   c = 520

5 0
2 years ago
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Use a double integral to find the area of the region. the region inside the circle (x − 5)^2 y^2 = 25 and outside the circle x^2
Zina [86]
Hello,

I have search in my memory : (not sure)

A= \pi* \dfrac{25}{2}+ 2*\int\limits^{5}_{ \frac{5}{2}} { \int\limits^{\sqrt{25-(x-5)^2}}_{\sqrt{25-x^2}}  \, dx } \, dy \\

= \int\limits^{\frac{\pi}{3}}}_{- \frac{\pi}{3}}  \int\limits^{10\ cos(\theta)} _5 {\rho} \, \ d\rho \ d\theta 


But we can make easier (see picture)

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3 years ago
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