The radius of a circle is 17 m. Find its circumference in terms of <br> Pi

X2-12x+21=-6 solve the quadratic by factoring

yuradex [85]

Answer:

(x-3)(x-9)

Step-by-step explanation:

first thing you need to do is move the -6 over. so we're going to add 6 to both sides (we add because it's negative 6 and we need 0 on the right side)

so you have: x^2-12x+27

now we need to come up with two numbers that add to -12 and multiply to 27.

the factors of 27 are 9 & 3 and 27 & 1. only 9 & 3 add to 12 so we are going to use those.

since the 12 is negative however, 9 and 3 should both be negative.

therefore we get: (x-3)(x-9)

*it doesn't matter which order you put them in!

4 0

3 years ago

Taylor has $32000 a part of which he invested at 5% and the remainder at 3%. His annual return on each investment is the same. A

ki77a [65]

Taylor have to invest the total money at 3.75%

Step-by-step explanation:

Let the part of money invested at 5% be 'a' and the part of money invested at 3% be (32000-a).

To find (a) :

The annual income for both the 5% and 3% investment is equal.

Interest= (amount x rate of interest x time) /100

Interest for 5% rate on investment

Interest = (a x 5 x 1) /100

Interest for 3% rate on investment

Interest = [(32000-a) x 3 x 1]/100

Both the interests are equal so equate both the equations.

(a x 5 x 1) /100 = [(32000-a) x 3 x 1] /100

5a = (32000-a) 3

5a = 96000-3a

8a = 96000

a = 96000/8

a = 12000

32000-a = 32000-12000

= 20000

The amount invested at 5% is $12000 and invested $20000 at 3%

Interest = (12000 x 5 x 1) /100

= 60000/100

= $600

Interest = (20000 x 3 x 1) /100

= 60000/100

= $600

Total interest = $1200

To find the rate at which the total money is to be invested to get the same annual income.

1200 = (32000 x rate x 1) /100

1200 x 100 = 32000 x rate x 1

120000 = 32000 x rate

120000/32000 = rate

Rate = 3.75%

Taylor have to invest the total money at 3.75% to get the same annual income

4 0

3 years ago

What is the area of a 320 ft semicircle?

Sever21 [200]

Answer: they do not have enough info but I will try my best to answer if im wrong its not my fault so please add more info

Solution

2. I know that for a Semi-Circle Area = 320 . From this find out Area of the Semi-Circle.

Solution:

Here Area=320(Given)

Area=

πr2

2

r2=

Area⋅2

π

r2=

320⋅2

22

7

r=14.2701

Diameter(d)=2r

=2⋅14.2701

=28.5402

Circumference=πr

=

22

7

⋅14.2701

=44.849

Perimeter=πr+2r

=

22

7

⋅14.2701+2⋅14.2701

=44.849+28.5402

=89.6979

Step-by-step explanation:

Byee stay safe: Wear your mask, drink water and stan bts

also can I have brainliest

4 0

2 years ago

If a population is _______

JulsSmile [24]

Answer:

C

Hope This Helps Friend!

4 0

3 years ago

Find the sum of this infinite geometric series: 4 - 2.88 + 2.0736- 1.492992+...

kirza4 [7]

Let $r$ be the common ratio between terms. Then

$-2.88=4r\implies r=-0.72$

Now denote the $n$ th partial sum of the series by

$S_n=4-2.88+2.0736-1.492992+\cdots+4(-0.72)^{n-1}+4(-0.72)^n$

Multiply both sides by $-0.72$ , then subtract from the above to get

$S_n-(-0.72S_n)=4-4(-0.72)^{n+1}$
$1.72S_n=4(1-(-0.72)^{n+1})$
$S_n=2.32558(1-(-0.72)^{n+1})$

As $n\to\infty$ , you're left with

$S_\infty=2.32558$

3 0

4 years ago

The radius of a circle is 17 m. Find its circumference in terms of ￼ Pi

The radius of a circle is 17 m. Find its circumference in terms of Pi