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3 years ago

The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

1 answer:

7 0

So we can setup variable equations for this:
so we're given that the length is 22feet longer than the width!
so as an expression length is equal to 22+w
and width as an expression is just w
so the formula for the perimeter for a rectangle is 2l+2w=perimeter
so fill it in now!
1616=2(22+w)+2w
1616=44+2w+2w
1616=44+4w
1572=4w
divide by four..
w=393
and length is simply 22 more than that as stated in the question!
so length is 415
dimensions are: 415x393

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A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6

deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

$D = 324\cdot e^{-0.05t}$

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

$D = 324\cdot e^{-0.05t}$

$=324\times e^{-0.05\times 9}\\\\=206.59$

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

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2 years ago

If a b and m∠2 = 71°, what is m∠1?

Nikolay [14]

Answer:

71°

Step-by-step explanation:

In order to be able to solve this problem, we must assume the relation between lines "a" and "b" is that they are parallel.

If a║b, then ∠1 and ∠2 are corresponding, hence congruent.

m∠1 = m∠2 = 71°

8 0

3 years ago

Use the long division method to find the result when 2 x 3 + 7 x 2 + 14 x + 12 2x 3 +7x 2 +14x+12 is divided by 2 x + 3 2x+3

egoroff_w [7]

Answer:

2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = x² +2x+ 4

Step-by-step explanation:

We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder

x² +2x+ 4

2x+3 ║2 x 3 + 7 x 2 + 14 x + 12

2x³ + 3x²

- -

4x² +14x+12

4x²+ 6x

- -

8x+12

- -

0

4 0

2 years ago

On the first day of winter, the temperature in Cassville was – 3°F. That same day, the temperature in Shorewood was – 11°F

just olya [345]

Answer:

Step-by-step explanation:

___________________________________________________________

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0

Okay so on this number line that I made you see -3 degrees F and -11 degrees F. All you have to do is count, start at -3 and count the numbers until you get -11 so the answer would be -8 degrees F because it takes 8 units to get to 7 on the negative number line.

3 0

2 years ago

Can you help me with number 14 please

Blizzard [7]

Let the regular price be p. Then the new price, after a 35% markdown, is 0.65p.

Mult. $3.29 by 0.65, Result: $2.14. No match here.
Mult. $4.19 by 0.65. Result: $2.72. We've got a match here!
Mult. $2.79 by .65. Result: $1.81. No match here.
Mult. $3.09 by .65. Result: $2.01. Match!

And so on.

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2 years ago