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3 years ago

What is the area of a circle with a radius of 8in

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

64 π. Hope that helps! Plz rate and mark as brainlest! :)

Step-by-step explanation:

Formula: π r² (pie times radius squared)

π x 8² = 64 π

Kaylis [27]3 years ago

5 0

Answer:

200.96in squared

Step-by-step explanation:

are of a circle is pieR^2. Pie is 3.14, so 3.14 x 8^2 which is 200.96 Hope this helps plz mark brainliest

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If the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what does y equal? If necessary, use the slash ma

aleksandr82 [10.1K]

We use the fact that x2+y2=1 This is the equation of the unit circle.
We know that x=-4/5, so plug this in and solve for y
x2+y2=1 <span>(−4/5)^2+y2=1</span> 16/25+y2=1 y2=1−16/25 y2=9/25 <span>y=−square root of 9/ 25</span>
y = -3/5

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4 years ago

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Right two equal fractions 2/3

saveliy_v [14]

Two equal fractions would be 4/6 and 6/9.

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3 years ago

2. What step did Mikayla do wrong when she solved this

Lunna [17]

Mikayla subtracted 4 from both sides in the beginning when she should've added it to both sides to cancel it out on the right. the correct answer should actually be x=1

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3 years ago

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Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,

Helen [10]

<h3>Answer: 3/10 of a shed</h3>

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Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 8
5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

$\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}$

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0

3 years ago

given line passes through the points (-4, -3) and( 4, 1) what is the equation in point slope form of the line that's perpendicul

Diano4ka-milaya [45]

Answer:

y= -2x-5

Step-by-step explanation:

First find the gradient of the first line

$m = \frac{y2 - y1}{x2 - x1}$

$\frac{1 - - 3}{4 - - 4}$

$\frac{4}{8}$

m=1/2

From this we can find the gradient of the perpendicular line, or the normal.

m1 × m2 = -1

Replace m1 with 1/2

1/2 × m2 = -1

m2= -2

Substitute values into

y-y1=m (x-x1)

y-3=-2 (x+4)

y-3=-2x -8

y=-2x-5

6 0

3 years ago

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