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3 years ago

X=a^n

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

5 0

I have this question to on a test of mine, someone help please xD

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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence

saul85 [17]

For this case we have that by definition, the area of a rectangle is given by:

$A = w * l$

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is $P = 2w + 2l = 24.$

Amy:

$l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6$

Thus, Amy's fence area is: $A = 6 * 6 = 36 \ ft ^ 2$

Zach:

$l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4$

Thus, the area of Zach's fence is: $A = 4 * 8 = 32 \ ft ^ 2$

Answer:

Amy's garden has a greater area

$36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2$ , is $4 \ ft ^ 2$ greater

5 0

3 years ago

Read 2 more answers

Use the order of operations to evaluate the expression below.<br> 5 + 7 • 2 - 90 / 3 + 8 - 1

Law Incorporation [45]

First Multiply 7x2 witch is 14 then divide -90 by 3 witch is -30 so now make your new equation 5+14-30+8-1 witch the answer is -4

3 0

3 years ago

A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI

Vadim26 [7]

Answer: Hence, our required probability is $\dfrac{1}{386206920}$

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

$P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}$

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

4 0

3 years ago

Graph the equation<br>y=-(x+2)^2+7

ELEN [110]

Step-by-step explanation:

Distribute:

=−x2+−4x+−4+7

Combine Like Terms:

=−x2+−4x+−4+7

=(−x2)+(−4x)+(−4+7)

=−x2+−4x+3

Answer:

=−x2−4x+3

7 0

2 years ago

A toy train makes 10 laps around a track in 12 minutes. hpw me my laps per hour is that.

marusya05 [52]

Answer:

Step-by-step explanation:

3 0

3 years ago

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