Factor 3x2 +6x- 24 Please help me

HELP!!!!!!!! For readers who cant see it says " A rectangular play area is 8 yards long. The expression 56+8x represents the are

ale4655 [162]

Answer:

the X represents the width, since to get the area, you have to multiply length times width

Hope that helps!

4 0

3 years ago

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board.

yawa3891 [41]

Answer:

19.63%

Step-by-step explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to $A=\pi*r^2$ , is $25\pi$ cm squared

The area of the whole square board is one side squared: 20 squared = 400 cm squared

The probability is therefore equal to $25\pi/400 = \pi/16=0.19634=19.63%$ %

8 0

3 years ago

Stacy wants to build a patio with a small, circular pond in her backyard.The pond will have a 6-foot radius. She also wants to i

solong [7]

First we are going to find the Area of the pond using the area of a circle formula: $A= \pi r^2$
where
$A$ is the area of the circle
$r$ is the radius of the circle
We know for our problem that the pond will have a 6-foot radius, so $r=6$ . Lets replace that value on our area formula:
$A= \pi r^2$
$A= \pi (6)^2$
$A=113.1ft^{2}$
We know that the cost of installing the pond is $0.62 per square foot, so lets multiply the area we just found by the cost:
Total cost of pund= $(0.62)(113.1)=70.12$ dollars

Now, let $x$ be the width the rectangle, so its length will be $x+13$ . Remember that the area of a rectangle is width times length, so:
$A=x(x+13)$
$A=(x^2+13x)ft^2$
Since the cost of installing ties is $1, the cost of installing ties in our rectangle will be x^2+13x dollars.

Stacy can spend no more than $536 on this project, so we can setup an inequality relating the cost of the pound and the cost of installing ties:
 $70.12+x^2+13x \leq 536$
$x^2+13x \leq 465.88$

We can conclude that the inequality that can be used to fin the width, $x$ , of the patio is $x^2+13x \leq 465.88$

6 0

2 years ago

A seat on a ferris wheel is level with the center of the wheel. the diameter of the wheel is 210 feet (ft). if the wheel rotates

kakasveta [241]

The 210 feet diameter of the ferris wheel rotated 45° gives;

The amount by which the height of the seat changes is the option;