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insens350 [35]
3 years ago
13

A rectangle has a width of 33 units and a length of 56 units. What is the length of a diagonal

Mathematics
1 answer:
Savatey [412]3 years ago
8 0

Answer:

d=65

Step-by-step explanation:

Length: 56

Width: 33

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Step-by-step explanation:

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\frac{31x}{30}

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The lowest common denominator of 2, 5 and 3 is 30, thus

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If cos θ = .62 and if 0<θ<90 what is the approximate value of sin θ to the nearest hundredth
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\cos\Theta=0.62\\\\\text{Use:}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\Theta+(0.62)^2=1\\\\\sin^2\Theta+0.3844=1\ \ \ |-0.3844\\\\\sin^2\Theta=0.6156\to\sin\Theta=\pm\sqrt{0.6156}\\\\\sin\Theta_1\approx-0.78\ \vee\ \sin\Theta\approx0.78\\\\\Theta\in(0^o;\ 90^o),\ therefore\ \sin\Theta \ \textgreater \  0\to\boxed{\sin\Theta\approx0.78}
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pav-90 [236]

Answer: Bottom left corner

Angle DEC and Angle DEH

=============================================================

Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

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