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4 years ago

Simplify (3x² - x + 2)[(5x - 2) - (x - 1)]

1 answer:

6 0

Answer = 12x3−7x2+9x−2

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What is the approximate length of arc s on the circle below? 330 degrees central angle radius 12 feet

Aneli [31]

Answer:

$69.08\ ft$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=12\ ft$

substitute

$C=2\pi (12)$

$C=24\pi\ ft$

step 2

Find the approximate length of arc s

we know that

The circumference of the circle subtends a central angle of 360 degrees

using proportion

Find out the length of arc for a central angle of 330 degrees

$\frac{24\pi}{360}=\frac{x}{330}\\\\x=24\pi(330)/360$

$x= 22\pi\ ft$ ----> exact value

assume

$\pi =3.14$

$22\pi\ ft=22(3.14)=69.08\ ft$ ----> approximate value

3 0

3 years ago

A car rental agency charges Shaes Family $25.00 plus .10 per mile that the car has driven. Shae spends $45.00 on the rental car.

S_A_V [24]

She drove 200 miles.

6 0

3 years ago

2x^2+2y^2+6x-8y+12=0

lord [1]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

with centre = (- g, - f) and radius = $\sqrt{g^2+f^2-c}$

Given

2x² + 2y² + 6x - 8y + 12 = 0 ← divide through by 2

x² + y² + 3x - 4y + 6 = 0 ← in general form

Compare like terms

2g = 3 ⇒ g = $\frac{3}{2}$

2f = - 4 ⇒ f = - 2 and c = 6, thus

centre = ( - $\frac{3}{2}$ , 2 ) and

radius = $\sqrt{(3/2)^2+(-2)^2-6}$

= $\sqrt{\frac{9}{4}+4-6 }$ = $\sqrt{\frac{1}{4} }$ = $\frac{1}{2}$

6 0

3 years ago

How many square feet of outdoor carpet will we need for this hole?

S_A_V [24]

Answer: 6 x 11 x 2 x 3 x 7=2772.
You should need about 2772 square feet to cover the hole.
I’m not entirely sure if this is correct, but if it is please give brainliest!!
Hope this helps!!!

5 0

3 years ago

If Bob deposits $133 at the end of every month in an account paying 5.9% interest compounded annually, how much money will he ha

algol [13]

Answer:

10140.96 dollars

Step-by-step explanation:

Bob deposits 133 dollars at the end of every mounth in an account paying 5.9 percent interest compounded annually :

We need to khow what is the amount bob has in a total year without interests
let A be the amount we are looking for :
A = 12*133=1596
so bob has 1596 dollars each year

We khow that the interest is worth 5.9 percent

we can state :

1596⇒ 100 percent
x(the interest value)⇒ 5.9 percent
x = (1596*5.9)/100 = 94.16 dollars each year

Let At be the toatl amount after six years

At= 1596*6+94.16*6= 10140.96

6 0

4 years ago