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Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

It is D parabola because in a double right circular cone the vertex is in the middle of two opposite cones and cutting through the vertex is making parabola.

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The LMC of 6 and 7 is

nadya68 [22]

Answer:

6, 12, 18, 24, 30, <u>36</u>. 42, 46, 52, 58, 64,

7, 14, 21, 29, <u>36</u>

Your answer is 36.

Step-by-step explanation:

LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.

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3 years ago

The area of an equilateral triangle with a 6 inch apothem

skad [1K]

Answer is 187.06 and the work is in the attached picture.

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3 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$