This is Physical Science questions, can someone please help with 7-9 !!!!

A square and rectangle have the same perimeters.The lengtj of a side of the square is 4x-1.The length of the rectangle is 2x+1 a

Ivanshal [37]

Well, the perimeter of a square is 4 times the side. The side of THIS square is (4x - 1), so the perimeter is 4 x (4x-1) = 16x - 4 . Hold that thought while we go over there and work on the rectangle.

The perimeter of a rectangle is (2 lengths) plus (2 widths). The length of THIS rectangle is (2x + 1), and 2 lengths = 2 x (2x+1) = 4x + 2. The rectangle's width is (x+2). Two widths add up to 2 x (x+2) = 2x + 4.

The total perimeter of the rectangle is (4x+2) + (2x+4) = 6x + 6 .

Now we have the expressions for the perimeters of both figures.

AND we know that their perimeters are EQUAL ... THAT's the very powerful piece of information that's going to bust this whole problem wide open.

(perimeter of the square) = (perimeter of the rectangle)

The equation that the question asked for: 16x - 4 = 6x + 6

That's the answer to the question that was posted. But we can't just leave it there. We've got to find out what 'x' actually is, and then find the perimeters of the square and the rectangle.

Add 4 to each side: 16x = 6x + 10

Subtract 6x from each side: 10x = 10

Divide each side by 10 : x = 1

Side of the square: (4x-1) = 3

Perimeter of the square: 4 x 3 = 12

Length of the rectangle: (2x+1) = 3

Width of the rectangle: (x+2) = 3

Perimeter of the rectangle = (2 lengths) + (2 widths) = 12

Do you notice anything strange and exciting ? The "rectangle" is actually another square, exactly the same shape and size as the "square" !

7 0

4 years ago

Determine whether the following statement regarding the hypothesistest for two population proportions is true or false.

murzikaleks [220]

Answer:

False

Step-by-step explanation:

Let p1 be the population proportion for the first population

and p2 be the population proportion for the second population

Then

$H_{0}$ p1 = p2

$H_{a}$ p1 ≠ p2

Test statistic can be found usin the equation:

$z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample population proportion for the first population

p2 is the sample population proportion for the second population

p is the pool proportion of p1 and p2

n1 is the sample size of the first population

n2 is the sample size of the second population.

As |p1-p2| gets smaller, the value of the test statistic gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

As the p-value gets higher, the null hypothesis is less likely be rejected.

7 0

4 years ago

What is the total amount of fabric needed to make the tent with the following dimensions?

lesantik [10]

I’m just guessing that it’s asking for surface area, since fabric doesn’t fully fill an object.

I kind of forgot about surface area so this isn’t going to be 100% accurate, but I believe that you multiply the base by the other numbers.
For example, you get the base of the side, 6 ft. , and you multiply it by the height, which gives 24. Then, you multiply it by 2, since there’s two sides.

Then you do 6x5 (30), and so on and so forth.

(I’m so sorry if I’m wrong, I haven’t really done area or surface area in a while lol)

4 0

3 years ago

Which expression is equivalent to 8 x minus 12 y + 32?

ioda

Answer:

4(2x-3y+8)

Step-by-step explanation:

8x-12y+32

4(2x-3y+8)

3 0

3 years ago

Read 2 more answers

SOMEONE HELP ME PLEASEEE

nadya68 [22]

Answer:

A) X≥4

B) Can't see question

C)x<8

D) x>40

E)x≥5

F) Can't see question

G)x ≥43

H) x ≤75

Step-by-step explanation:

4 0

2 years ago