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3 years ago

Which expression is equivalent to the square root of 2^5/18

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

1.77777777778 would be the answer you are looking for I think.

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The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy

Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0

2 years ago

Nathan is going to a water park today. He knows that the cost of admission is at least $12 per person. If c stands for the cost

mash [69]

C $\geq$ $12

If the cost c is at least $12 then it could be equal to 12, or could also be a cost greater than $12. So, c is greater than or equal to 12, expressed as <span>c $\geq$ $12</span>

8 0

2 years ago

5 - ( m - 4 ) = 2m + 3 ( m -1 )

Leni [432]

Answer:

m=2

Step-by-step explanation:

8 0

2 years ago

How do you figure out the ratio stars to squares when there are 11 squares 5 stars and two circles in the data?

dedylja [7]

Ignore the circles. The ratio of stars to squares is simply 5 to 11 .

6 0

2 years ago

Z^m-n (z^m+ z^m+n + z^n)

rusak2 [61]

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is

8 0

2 years ago