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Rama09 [41]
3 years ago
11

Mario has received 16 unlabeled thumb-drives with ads on them. he has 8 gray drives which have the print ad, 4 pink drives which

have the digital display ad, and 4 blue drives with the video ad. what is the minimum number of thumb-drives he must open to ensure that he has one of each color with each ad?*
Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
Mario has 8 gray drives which have the print ad, 4 pink drives which have the digital display ad, and 4 blue drives with the video ad.
<span>
</span><span>The most unsuccessfull way of opening drives is: 1st - grey, 2nd - grey, 3 - rd grey and so on untill all 8 gray drives are opened, then 9th - pink, 10th - pink, 11th - pink, 12th - pink  (or 4 blue) and then blue one (or pink one) drive.
</span><span>
</span><span>He must open 13 drives to ensure that he has one of each color with each ad. </span>
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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}

###

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}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

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3 years ago
What is the slope of a line that is parallel to the line shown on the graph?​
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Answer:

I'm 98% sure its c. 1/4

Step-by-step explanation:

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The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

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f is the focal length

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v is the image distance

Given the following parameters

f = 5cm

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1/u = 1/5-1/20
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u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

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