MATHEMATICS COLLEGE

if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

Answers

Answer 1

Answer:

Answer:

$LM = 13$

Step-by-step explanation:

Given

$MN = 5$

$LN = 18$

Required

$Find\ LM$

Since, M is between LN, we have:

$LN = LM + MN$

Substitute values for MN and LN

$18 = LM + 5$

Make LM the subject

$LM = 18 - 5$

$LM = 13$

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The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle? A) 6x2 + 8x + 2 B) − 8x + 2 C) 6x2 − 8x + 2 D) 6x2 − 8x − 2

The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m. Find the length of the longer side.

Answers

The length of longer side of the rectangular flower bed is 7.5m .

Given, that sketch dimensions of the rectangular flower are 4 cm by 6 cm.

Conversion of meter to centimeter.

1m ⇒ 100cm

So, 100 x 5 = 500cm

Now the shorter side of the flower corresponds to 4cm.

In actual the value in centimeters,

500 ÷ 4 = 125

Length of longer side of the rectangle.

125 x 6 = 750 cm

Convert cm to m.

1cm ⇒ 0.01 m

750/100 = 7.5 m

Therefore the length of longer side of rectangle is 7.5 m

Know more about rectangle,

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Answer:

125.15

Step-by-step explanation:

Just do it!

Assume the 72-gon is a regular polygon. The measure of one interior angle is how manydegrees, and the measure of one exterior angle is how many degrees?

Answers

9514 1404 393

Answer:

interior: 175°
exterior: 5°

Step-by-step explanation:

The sum of exterior angles is 360°, so the exterior angle can be easiest to find first.

exterior angle = 360°/72 = 5°

The interior angle is the supplement of this.

interior angle = 180° -5° = 175°

The measure of one interior angle is 175°; one exterior angle is 5°.

Craig won first prize in Mrs. Short's classso he gets to pick a prize from the treasure

box. He doesn't know what he wants, so

he is going to chose randomly. There are 77

different gift card prizes: fast food, ice cream,

CD's, DVD's, movies, the mall and Carowinds.

If there is an equal number of each card in

the box, what is the probability he will pull out

the gift card for Carowinds?

Answers

Answer:

1/11

Step-by-step explanation:

There are 7 gift card options so that makes it 7/77 which simplified is 1/11

Answer:

Step-by-step explanation:

So we know there are 77 different gift card prizes as stated.

You'd want to divide 77 and how many there is which is 7.

You'll end up with 11.

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lostat some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.

Answers

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

The Punic Wars had the GREATEST impact on the expansion ofes )
A)
the Roman Empire.
B)
the Roman Republic.
Egypt's "New Kingdom."
D)
Alexander the Great's Empire.
Submit

Answers

Answer:

it b 100%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a function of the time t, in seconds, the ball is in the air and is given byh(t)=-16t^2+80t+4, 0 < t < 5.04

a. Find the height of the ball above the ground 2 seconds after it is released.

b. Find the height of the ball above the ground 4 seconds after it is released.

Please show work!