All categories

3 years ago

Hello,Can anybody give answer to this question.?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Because the perimeter passes through a given point find the radius by finding the distance between that point and the origin of (0,0)

distance = sqrt((x2-x1)^2 +(y2-y1)^2)
distance = sqrt (-4-0)^2 + 3-0)^2)

distance = sqrt(16 +9)
distance = sqrt(25)
distance = 5
the radius of the circle is 5

the area of a circle = PI x r^2
area = PI x 5^2
area = PI x 25

area = 25PI
the answer is C

You might be interested in

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a perc

KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

$n(S) = 2^{10} \\= 1024$

Let A be the event that the tails appear 7 times:

Then,

$C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\$

Converting into percentage:

$P(A) = 0.1171*100=11.7%$

So, option C is correct ..

6 0

3 years ago

In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.

miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

4 0

3 years ago

Simplify.<br> Rewrite the expression in the form 4^n<br> (4^6)(4^-8) =

stiks02 [169]

Answer:

4^-2

Step-by-step explanation:

The rules of exponents tell you ...

(a^b)(a^c) = a^(b+c)

This means ...

(4^6)(4^-8) = 4^(6-8) = 4^-2

7 0

2 years ago

I am an even number i am less than 100,the sum of my digits is 15, i am multiple of 12

Yakvenalex [24]

Answer:

Step-by-step explanation:

herp derp herp derp herp derp

7 0

3 years ago

the elephants at the norfolk zoo are fed 1/2 a barrel of corn each day. the buffalo are fed 7/10 as much corn as the elephants.

maksim [4K]

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Aloud to yourself, read the issue.
Make a Drawing.
Ask yourself, "What am I looking for?"
List the items that have been provided.
Locate the key phrases.
Solve.
Verify your work.

Here are some actions to take:

Recognize the issue, including all the terminology used to describe it. Recognize what you need to look for, Recognize the issue's context.
Convert the issue into an equation. Give the unknown a variable (or variables) to symbolize, Indicate exactly what the variable stands for.
Put the strategy into action and find a solution.

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

To know more about word problems check the below link:

brainly.com/question/13818690

#SPJ4

4 0

1 year ago