All categories

1 year ago

The length of a rectangle is 3 inches more than three times the width. the perimeter is 94 inches. find the length and width.

1 answer:

3 0

Let length be (l) and width be (w).

According to the question, l=3w+3......equation1
And perimeter that is 2(l+w) =94........equation2

Solve these two equations, you get your answer.
l=36
w=11

You might be interested in

Marisa spent $8 on a movie ticket. Then she spent $5 on

disa [49]

She initially had 17 dollars.

7 0

1 year ago

Mrs.Schroeder, a school principal ,drove her own car for a class trip ,taking a different route . The principal's car can travel

dsp73

Answer:

the principal drove 384 miles

Step-by-step explanation:

12x32=384 miles

3 0

2 years ago

Read 2 more answers

Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s

aniked [119]

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

3 0

2 years ago

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian

AfilCa [17]

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

4 0

2 years ago

Solve. A power outage affected all homes and businesses within a 3 mile radius of the power station. If the power station is loc

Aneli [31]

Answer:

$\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 9$

Step-by-step explanation:

The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).

And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).

The equation of a circle with center (a,b) and radius r is given by :

$\left ( x-a \right )^{2}+\left ( y-b \right )^{2}= r^{2}$

Hence the equation of the resulting circle will be: $\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 3^{2}$

4 0

2 years ago