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3 years ago

Please help me with this

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

radius = 12 ft

Circumference = ?

Process

The Circumference is the length of the border of a circle. To find the length of this border, just use the formula, substitute the radius and pi and simplify.

Formula

Circumference = 2πr

Substitution

Circumference = 2(3.14)(12)

Simplification

Circumference = 75.36 cm

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Step-by-step explanation:

I'll do the first one as an example.

"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"

Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.

KP / PL = 3 / 2

Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.

KxPx / PxLx = 3 / 2

KyPy / PyLy = 3 / 2

First, let's use the x coordinates:

(x − (-5)) / (5 − x) = 3 / 2

(x + 5) / (5 − x) = 3 / 2

2 (x + 5) = 3 (5 − x)

2x + 10 = 15 − 3x

5x = 5

x = 1

And now with the y coordinates:

(y − (-4)) / (1 − y) = 3 / 2

(y + 4) / (1 − y) = 3 / 2

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5y = -5

y = -1

So the point P is at (1,-1).

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

-2a+a+7-5

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2 years ago

Read 2 more answers

on the first day after the new moon 2% of the moons surface is illuminated. on the second day, 6% is illumina

Amanda [17]

50% illuminated: at day 12

100% illuminated: at day 24-25

Step-by-step explanation:

We know that:

- At day 1, the fraction of surface illuminated is 2%

- At day 2, the fraction of surface illuminated is 6%

...and so on

This means that the fraction of surface that is illuminated at day n is given by the expression:

$f=2+4n$

where

n is the number of days

f is expressed as percentage

Here we want to find the day n at which the moon surface is 50% illuminated, so when

f = 50

Substituting into the expression and solving for n,

$n=\frac{f-2}{4}=\frac{50-2}{4}=12$

So, the moon surface will be 50% illuminated at day 12.

Similarly, to find the day n at which the moon surface is 100% illuminated,

f = 100

$n=\frac{f-2}{4}=\frac{100-2}{4}=24.5$

So, the moon will be 100% illuminated between day 24 and day 25.

Learn more about expressions:

brainly.com/question/7014769

brainly.com/question/11007572

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2 years ago