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2 years ago

100PONITS!!!!!!!!!!!!!!!!

Mathematics

1 answer:

WARRIOR [948]2 years ago

7 0

Depends on how u look at the data and how the data is drawn out

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Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k

tresset_1 [31]

Answer:

a) Similar

b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)

c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)

Step-by-step explanation:

Given:

Rectangle 1 has length = x

Rectangle 1 has width = y

Rectangle 2 has length = kx

Rectangle 2 has width = ky

(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?

Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.

(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.

Perimeter of Rectangle = 2*(Length + Width)

Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y

Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky

= k(2x+2y)

= k(Perimeter of Rectangle 1)

Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.

(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.

Area of Rectangle = Length * width

Area of Rectangle 1 = x * y

Area of Rectangle 2 = kx*ky

= k^2 (xy)

= k^2 (Area of rectangle 1)

Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.

4 0

2 years ago

You start hiking at an elevation that is 80 meters below base camp.

Arte-miy333 [17]

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since a negative value is below the base camp, this means that you are now 38 m below base camp.

6 0

2 years ago

Help me out! plsss

a_sh-v [17]

Answer:

Step-by-step explanation:

ITS THE THRID ONE!

5 0

2 years ago

Read 2 more answers

A stadium has seating accommodation for 3800 people. At a cricket match all seats were taken. If there were 5609 people attendin

umka2103 [35]

Answer:

Step-by-step explanation:

Those standing is the same thing as people who didn't have seats.

Those standing = the total number of people attending - those seated.

Those standing = 5609 - 3800

Those standing = 1809

6 0

2 years ago

Which of the following represents the quotient of the polynomial 6x^3+3x^2-5/3x^2+1

fenix001 [56]

Answer: The quotient is (2x+1)

Step-by-step explanation:

Here, the dividend = $6x^3+3x^2-5$

Divisor = $(3x^2+1)$

By the long division method for finding the quotient we will follow the following steps,

Steps 1 : Write dividend inside the division sign and divisor outside the division sign,

Step 2: Multiply the divisor by 2x and subtract the result by the dividend,

Step 3: Now, again multiply the divisor by 1,

Step 4: Subtract the result by the remaining dividend,

Since, further division is not possible,

Hence, the sum of all terms that are multiplied = 2x+1

Which is our quotient.

4 0

3 years ago