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larisa [96]
3 years ago
9

Sin theta=3/11 what is theta?

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0
Theta is θ, which is just the symbol that takes the place of the variable so...

Theta = θ = 3/11
nlexa [21]3 years ago
7 0
A plane angle the 8th letter in alphabet
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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

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3 years ago
A chef uses 4.5 cups of tomatoes to make each batch of pasta sauce. If t represents the number of cups of sauce, which equation
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Answer: t=4.5x

Step-by-step explanation:

t=cups of tomatoes

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Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

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Step-by-step explanation:

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Which expressions are equivalent to 64^1
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64

Step-by-step explanation:

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