The area of a rectangle is equal L x W

4 cm longer than it is wide L = 4 + W

L x W = 117 we replace L here

(4 + W ) x W = 117

4W + W ^2 = 117

4W + W ^2 -117 = 0
W ^2 +4 W -117 = 0

W² + 4W - 117 = 0


THEN u want to use the use the quadratic formula

OR Factoring gives us

(W + 13)(W - 9) = 0

W = -13 or 9

But it can't be negative, so

W = 9 and L= 9+4 = 13

3 0

2 years ago

Read 2 more answers

An hourglass composed of two identical cones is 18 cm tall.the radius of each cone is 4cm if you want to fill the bottom half of

Kitty [74]

Check the picture below.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 4\\ h = 9 \end{cases}\implies V=\cfrac{\pi (4)^2(9)}{3}\implies V=48\pi \\\\\\ \stackrel{\textit{and 75\% of that will just be }\frac{3}{4}\textit{ of it}}{48\pi \cdot \cfrac{3}{4}\implies 36\pi \quad \approx \quad 113.097}$

5 0

1 year ago

The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,00

valentinak56 [21]

Answer:

0.0013

Step-by-step explanation:

To do this, we need to use a normal distribution table with Z score values, like the one I'm attaching here.

Now, the expression to calculate the Z value is the following:

Z = x - μ / (σ/√n)

Where:

μ: mean

σ: standard deviation

x: value required

n: sample population

Now that we have the data, let's calculate the Z value:

Z = 66,000 - 60,000 / (4000/√4)

Z = 3

Now, let's look at the table to get the value that belongs to this Z score. According to the table, it's 0.0013

Therefore, the likelihood would be 0.0013

3 0

2 years ago

A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total a

Semenov [28]

Answer:

The width of the pathway is:

7 meters.

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

Area of a rectangle = length * width.

From which the width can be cleared:

Width of a rectangle = area / length.

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

Width of a rectangle = 240 m^2 / 16 m = 15 m.

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

Pathway width = Total width - Garden width.
Pathway width = 15m - 8m = 7 meters.

7 0

1 year ago