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ad-work [718]
3 years ago
9

Marilyn is having shelves installed to create a corner pantry. The length of one wall is 21 inches and the measure of the angle

opposite the short side of the pantry, m∠A = 40°. The contractor who is making the shelves, which are shaped like right triangles, needs to know the length of the other wall. The length of the other wall is inches. Round your answer to the nearest integer.
Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

40° or 40.03 degrees or 25 inches as nilla mentioned.

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The top angle in the middle triangle is 180-121, which is 59.
The right side angle in the triangle is 180-144, which is 36.

The angles of a triangle add up to 180. Therefore, bottom left angle in triangle equals 180-59-36, which equals 85.

N equals 180-the bottom left triangle angle, therefore it is 95 degrees.
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What is the slope of the line that passes through the points (−5,0) and (7, 8) ?
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A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin
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Answer:

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Linear velocity: v = \frac{14\pi}{3}\,\frac{m}{s} (14.661\,\frac{m}{s})

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular (\omega), in radians per second, and linear velocities (v), in inches per second, of a point on the outer edge of the element are, respectively:

\omega = \frac{2\pi}{60}\cdot \dot n (1)

v = R\cdot \omega (2)

Where:

\dot n - Rotation rate, in revolutions per minute.

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3 years ago
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