All categories

3 years ago

The perimeter of a rectangle is 120 feet. the ratio of the width to the length is 2:3. find the length and the width.

1 answer:

7 0

We have 2l + 2w = 120 and l/w = 2/3;
Then, l = (2/3)w;
Finally, (4/3)w + 2w = 120;
4w + 6w = 360;
10w = 360;
w = 36;
l = (2/3)x36;
l = 24;

You might be interested in

How many minutes are in 3 hours,30 minutes?

Firlakuza [10]

Obviously if you wanna know this and do by yourself next time, it's pretty easy an hour is equal to 60 min so if you wanna know how many min are in hours js multiply by 60 for your question of now 3hours×60min=180mi+130=210min

8 0

3 years ago

Read 2 more answers

How do I solve these questions?<br>

Lana71 [14]

do you want all the questions answered?

7 0

3 years ago

The ages of the students in a statistics class are listed below. If the 18 year old student has a birthday and turns 19, how wil

KATRIN_1 [288]

Answer:

Step-by-step explanation:

6 0

3 years ago

In the summer the temperature goes above 95 degrees on 56% of days. If the summer have 94 days how many should be above 95 degre

Otrada [13]

.56 x 94 = 52.64
You can't have .64 of a day so round up to 53 days

4 0

3 years ago

Read 2 more answers

Pleeeeese help me as fast as you can!!!

Aleonysh [2.5K]

Answer:

A. $y=3x-10$

C. $y+6=3(x-15)$

Step-by-step explanation:

Given:

The given line is $6x+18y=5$

Express this in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept.

$6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}$

Therefore, the slope of the line is $m=-\frac{1}{3}$ .

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

$y=3x-10$

On comparing with the slope-intercept form, we get slope as $m_{A}=3$ .

Now, $m\times m_{A}=-\frac{1}{3}\times 3=-1$ . So, option A is perpendicular to the given line.

Option B:

For lines of the form $x=a$ , where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as $m_{C}=3$ .

Now, $m\times m_{C}=-\frac{1}{3}\times 3=-1$ . So, option C is perpendicular to the given line.

Option D:

$3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}$

On comparing with the slope-intercept form, we get slope as $m_{D}=-\frac{1}{3}$ .

Now, $m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}$ . So, option D is not perpendicular to the given line.

8 0

3 years ago