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2 years ago

14

rectangles perimeter and it's area have the same numerical value. the width of the rectangle is 3 units . what is the length of

the rectangle in units?

1 answer:

castortr0y [4]2 years ago

5 0

Answer:

Step-by-step explanation:

2(x+y)=parameter

xy=area

If area=parameter then 2(x+y)=xy.

If y=3, then

2(x+3)=3x

2x+6=3x

X=6

now, let’s double check.

6*3=18

2(3+6)=18

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Your new phew is standing on his deck which is 4 feet off the ground. He tosses his toy up into the air. The equation h(t) = -2t

Tpy6a [65]

Answer:

The height of the toy is 9 feet after 1 second

Step-by-step explanation:

we have

$h(t)=-2t^2+7t+4$

where

h(t) is the toys height from the ground

t is the time in seconds

so

For t=1 sec

substitute the value of t in the quadratic equation and solve for h(t)

$h(1)=-2(1)^2+7(1)+4$

$h(1)=9\ ft$

3 0

3 years ago

a paper airplane can be made out of two different pieces of paper: a circular piece 10 inches wide and a square piece 11 inches

madreJ [45]

Compare the areas of the 2 different pieces of paper.

For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.

For the square, the area is A = s^2, where is the side length, which here is 11 inches.

Finish these calculations, and then compare your two areas. Which is the larger?

5 0

3 years ago

5(6-i)+(6-i)(3-i). show work.

Bumek [7]

47 -14i

You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...

... = (6-i)(5 + 3-i)

... = (6 -i)(8 -i)

This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.

... = 6·8 -6i -8i +i²

... = 48 -14i -1

... =

_____

A suitable graphing calculator will work these complex number problems easily.

4 0

3 years ago

Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. I

Elden [556K]

Answer:

$Time = 11\frac{2}{3}\ min$

Step-by-step explanation:

Given

$Security\ A = 2\ mins, 20\ secs$

$Security\ B = 1\ mins, 40\ secs$

Required

After how many minutes, will they round together

First, convert the given time to minutes

$Security\ A = 2\ mins, 20\ secs$

$Security\ A = 2\ mins+ 20\ secs$

$Security\ A = 2\ mins+ \frac{20}{60}\ min$

$Security\ A = 2\ mins+ \frac{1}{3}\ min$

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\ mins, 40\ secs$

$Security\ B = 1\ mins+ 40\ secs$

$Security\ B = 1\ mins+ \frac{40}{60}\ min$

$Security\ B = 1\frac{2}{3}\ min$

So, we have:

$Security\ A = 2\frac{1}{3}\ min$

$Security\ B = 1\frac{2}{3}\ min$

List out the multiples of the time of both security personnel take round.

$Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...$

$Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...$

In the above lists, the common time is:

$Time = 11\frac{2}{3}\ min$

<em>This implies that they go on round after </em> $11\frac{2}{3}\ min$ <em></em>

4 0

3 years ago

An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C,

VARVARA [1.3K]

Answer:

C= 45 + 19.95h

Step-by-step explanation:

45 for each home vist means one time payment

19.95 ever hour means you are charged 19.95 every hour

H= hour

4 0

3 years ago