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Varvara68 [4.7K]
3 years ago
15

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

Mathematics
1 answer:
Brut [27]3 years ago
6 0

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

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What is the slope of the line with equation y=-x
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3 years ago
A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

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now simplification, we get

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Dividing '6' on both sides, we get

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<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

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Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using th
lukranit [14]

The total distance is an illustration of a linear function.

<u>(1) Why the relationship is a function</u>

The relationship is a function because all input values of h, have exactly one corresponding output value of d

<u>(2) The function type</u>

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

<u>(3) The domain for a drive of 8 hours</u>

The domain is the set of time the girls drive.

So, the domain is: [0,8]

<u>(4) The range</u>

The function is given as:

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When h = 0,

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<u>(5) The graph</u>

See attachment

<u>(6) The slope</u>

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In (6) above, c represents the y-intercept.

So, by comparison:

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Read more about linear functions at

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