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3 years ago

How does doubling the side length of a rectangle affect its area

1 answer:

7 0

Doubling the side-lengths will multiply the area by four.

Proof:
Let the side-lengths of the rectangle by x and y. Clearly, the area will be x*y=xy. The new rectangle will have side-lengths 2x and 2y, and thus area 2x*2y=4xy. 4xy/xy=4 - hence, the new rectangle has four times the area of the old one.

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Help please inequalities are kicking my butt any help is greatly appreciated thank you in advance

Hitman42 [59]

Answer:

Correct option is (C)

Step-by-step explanation:

we are given that -Tim design a pair of shorts,S, and T-shirts,t.

Tim sell Sorts for $12 and T-shirts for $8 each.

Tim can work atmost 18 hours a day so we can write $time\leq 18$

Time taken to design a T-shirt is 30 minutes and for Shorts, it is 45 minutes.

$\frac{30}{60}t+\frac{45}{60}s\leq 18\\\text{Multiply both the sides by 60}\\30t+45s\leq 1080\\\text{Divide both the sides by 45}\\s+0.66t\leq 24\\\text{Subtract 0.66t from both the sides}\\s\leq 24-0.66t$

He must design 12 itesm each day, so we can write $t+s\geq 12$

Further it can be written as

$t+s\geq 12\\\text{Subtract t from both the sides}\\s\geq 12-t$

Also Tim can not design more than 30 items in one day, so we can write

$t+s\leq 30\\\text{Subtsract t from both the sides}\\s\leq 30-t$

Hence from the above equations , its claer that

$s\geq 12-t,s\leq 30-t,s\leq 24-0.66t,s\geq 0,t\geq 0$

7 0

3 years ago

In a random sample of 7 residents of the state of California, the mean waste recycled per person per day was 1.5 pounds with a s

ale4655 [162]

Answer:

CI(99%) = ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

Critical value z(at 99% confidence) = z(0.005) = 2.58

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.5

Standard deviation r = 0.58

Number of samples n = 7

Confidence interval = 99%

Critical value z(at 99% confidence) = z((1-0.99)/2)

z(0.005) = 2.58

Substituting the values we have;

1.5+/-2.58(0.58/√7)

1.5+/-2.58(0.2192)

1.5+/-0.565536

1.5+/-0.57

= ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

7 0

3 years ago

The period of y= -3cos x/8 is

Marysya12 [62]

Y=7.8com %75 679000 then multiple them wait don't think got it right

5 0

3 years ago

Andrew has three times as many pencils as Noah and five pens he has 17 pens and pencils altogether how many pencils does Noah ha

Novay_Z [31]

9514 1404 393

Answer:

Step-by-step explanation:

The distributive property does not appear to be involved in this question.

Let n represent the number of Noah's pencils. Then Andrew's total is ...

3n +5 = 17

3n = 12 . . . . . subtract 5 from both sides

n = 4 . . . . . . divide both sides by 3

Noah has 4 pencils.

7 0

2 years ago

Anyone know this??<br> pls help lol

Svetllana [295]

X={6,-10} that is the answer

3 0

3 years ago