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Dmitry_Shevchenko [17]
3 years ago
15

An arc of length 3 feet is cut off by a central angle of π/4 radians. Find the area of the sector formed

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0
 so hmm notice the picture below

so \bf \textit{area of a sector of a circle}\\\\
A=\cfrac{s^2}{2\theta}\qquad
\begin{cases}
\theta=\textit{central angle in radians}\\
s=\textit{length of the arc}
\end{cases}

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Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D
Sphinxa [80]

Answer:

It is a reflection  across the y axis

Step-by-step explanation:

The reflection of point (x, y) across the x-axis is (x, -y).

The reflection of point (x, y) across the y-axis is (-x, y).

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4 0
2 years ago
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Lamont works for an electric utility and is installing a 40 foot utility pole as shown. Lamont drills the anchor of a support ca
PIT_PIT [208]

Answer:

<em>Approximately 43 feet of minimum cable is needed. </em>

Step-by-step explanation:

This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (<em>which are known to have one 90° angle</em>). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:

h^2=a^2+b^2           Eqn. (1)

where

h is the hypotenuse

a is a side

b is a side

<u>Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. </u>Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have a=40ft and b=15ft. Plugging in Eqn.(1) and solving for h we have:

h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft

So we conclude that the minimum length of cable needed by Lamont is

≈43 feet (rounded up).

8 0
3 years ago
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ELEN [110]

Answer:

1) Slope: 3; y-intercept: -7

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Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

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The equation is already in slope-intercept form, so you can find the slope and intercept.

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For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

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Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

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2 years ago
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Anton [14]

Answer:

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Step-by-step explanation:

4 0
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