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3 years ago

Question 1

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side opposite the given angle.

The base of the triangle is given as 19 meters and represents the side adjacent to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: tan(42 degrees) = h / 19

This means that your answer = 19 * tan(42) = 17.11 meters

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3 years ago

Simplify this equation (3X^2+21X+33)/(X+5)

Amiraneli [1.4K]

Answer:

(3x^2+21x+33) / (x+5)

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Step-by-step explanation:

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3 years ago

Spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 62.1

Marta_Voda [28]

Caution: you need to use the same units of measurement throughout. If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.

We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.

Write the ratio

21.0 cm 135 newtons
------------- = --------------------
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21.0 135 newtons
------ = --------------------
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Then 21.0x = (62.1)(135 newtons). Divide both sides of this equation by 21.0 to solve it for x.

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3 years ago

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A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon

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Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
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y = -6x + 42

Required equation is y + 6x = 42.

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3 years ago