All categories

2 years ago

PLEASE HELP ME 30 POINTS

Mathematics

1 answer:

Anettt [7]2 years ago

7 0

The formula for the area of a circle is PI x radius^2.

To find the area of the sector, you would multiply the area by the ratio of the the sector angle over 360.
The formula would become PI x r^2 x 30/360.
The 2nd choice is correct.

You might be interested in

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

denpristay [2]

Answer:

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

3 0

1 year ago

Osama starts with a population of 1,000 amoebas that increases 30% in size every hour for a number of hours, h. The expression 1

Blizzard [7]

Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.

Explanation:

From the given information,

Initial population = 1000

Increasing rate or growth rate = 30% every hour.

No of population increase in every hour is,

$1000\times \frac{30}{100} =1000\times 0.3$

Total population after h hours is,

$1000(1+0.3)^h$

It is in the form of,

$P(t)=P_0(t)(1+r)^t$

Where $P_0(t)$ is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.

In the above equation 1000 is the initial population and $(1+0.3)^h$ is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.

Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.

3 0

1 year ago

Read 2 more answers

Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6

zalisa [80]

We have been given two polynomials $3x^2-2x -4 \text{ and } 2x^2+x-3$

Let us first multiply these polynomials.

$(3x^2 - 2x - 4)(2x^2 + x - 3)\\
\\
=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\
\\
=6 x^4 - x^3 - 19 x^2 + 2 x + 12$

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got $6 x^4 - x^3 - 19 x^2 + 2 x + 12$ which is a polynomial.

Therefore, the correct option is

The result $6 x^4 - x^3 - 19 x^2 + 2 x + 12$ is a polynomial.

4 0

1 year ago

A ________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to re

scZoUnD [109]

The answer for the completion exercise shown above is the second option (option b), which is:

b. critical value.

Therefore, you have that the text is: "<span>A critical value is a numerical quantity computed from the data of a sample..."
</span>
This numeral quantity is used in statitics. Then, if the absolute value is greater that the quantity defined before, the null hypothesis must be rejected.

6 0

1 year ago

Ms. Casey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she still has 16 tests to grade afte

CaHeK987 [17]

Answer:30 tests

Step-by-step explanation:

16=2/3 -4

20=2/3

10=1/3

30tests

6 0

2 years ago