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NISA [10]
3 years ago
12

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
The width is 11m and the length is 23m
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Find m angle d for m angle b = 65<br> The figure is not drawn to scale
Aleksandr [31]

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

:)

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3 years ago
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Kyle gave 2/7 of his money to his wife and spent 4/5 of the remainder. If he had $300 left, how much money did he have at first?
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Answer:

$5,250

Step-by-step explanation:

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Answer:

I think it is D I am going to guess on that

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3 years ago
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2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
lions [1.4K]
Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,


\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2}&#10;\\\\\\&#10;sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1}&#10;\\\\\\&#10;sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)

\bf \measuredangle 2x=sin^{-1}(\pm 1)\implies \measuredangle 2x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\measuredangle 2x=\cfrac{\pi }{2}\implies \measuredangle x=\cfrac{\pi }{4}\qquad \qquad \qquad \qquad \measuredangle 2x=\cfrac{3\pi }{2}\implies \measuredangle x=\cfrac{3\pi }{4}
3 0
3 years ago
Leah decided to paint some of the rooms at her 51 room hotel. She needs 1/5 of a can to paint per room.if Leah had 6 cans of pai
enyata [817]
If 1/5 can for 1 (each) room, then:
for 51 rooms, (51*1/5)=10.2 rooms.
Round to nearest whole number since you can't just paint 0.2 of a room: answer = 10
5 0
3 years ago
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