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3 years ago

How do I find the length and the width?

Mathematics

2 answers:

stiv31 [10]3 years ago

8 0

Online calculator to calculate the dimensions (length and width) of a rectangle given the area A and perimeter P of the rectangle. Then these equations are solved for L and W which are the length and width of the rectangle. Enter the perimeter P and area A as positive real numbers and press "enter".

Gnesinka [82]3 years ago

4 0

A = L * W
A = 91
L = W + 6

91 = W(W + 6)
91 = W^2 + 6W
W^2 + 6W - 91 = 0
(W - 7)(W + 13) = 0

W - 7 = 0
W = 7

W + 13 = 0
W = -13.......extraneous solution...this one does not work

so the width is 7 inches <====
L = W + 6
L = 7 + 6
L = 13...and the length is 13 inches <====

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(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =

frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

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3 years ago

How many people can Liam buy lunch for

makvit [3.9K]

Answer:

At most, Liam can only buy lunch for 6 people.

Step-by-step explanation:

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All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.

Writing it mathematically, it would be:

p $\leq$ 6

7 0

3 years ago

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Naddika [18.5K]

Answer: I chose question number 1.

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3 years ago

PLEASE HEP ME QUICK!!!!: Tom travels between the two mile markers shown and then finds his average speed in miles per hour. Sele

slega [8]

Answer:

$speed=\frac{195\ miles}{3\ hours}$

$3\ hours=\frac{195\ miles}{speed}$

$3\ hours*(speed)=195\ miles$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the distance in miles

y ----> the time in hours

$speed=\frac{x}{y}$

we have

The distance is equal to subtract 35 miles from 230 miles

$x=230-35=195\ miles$

The time is equal to subtract 1:30 pm from 4:30 pm

$y=4:30\ pm-1:30\ pm=3\ hours$

substitute in the formula of speed

$speed=\frac{195\ miles}{3\ hours}$

Isolate 3 hours

$3\ hours=\frac{195\ miles}{speed}$

Isolate 195 miles

$195\ miles=3\ hours*(speed)$

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3 years ago

2) This is a line segment between the center and a point on the circle or sphere.

Dima020 [189]

Answer:

Radius

Step-by-step explanation:

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3 years ago