An entire region or a complete object is reffered to as a

In the diagram below what is the relationship between the number of rectangles in the perimeter of the figure they form?

Wewaii [24]

Answer:

the correct answer is the third one. (1, 16), (2, 20), (3, 24)

Step-by-step explanation:

A perimeter is a path that surrounds a two-dimensional shape.

In the first case, 1 rectangle, the perimeter is the sum of all the sides:

Perimeter = 6 + 2 + 6 + 2 = 16

In the second case, 2 rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 6 + 2 + 2 = 20

In the third case, three rectangles, the perimeter is the sum of all external sides:

Perimeter = 6 + 2 + 2 + 2 + 6 + 2 + 2 + 2 = 24

In none of the cases, you take into consideration the interal sides. Just the external sides, so the correct answer is the third one.

8 0

3 years ago

Which expressions are equivalent to g+h+ (j+k)? Check all that apply.

Vsevolod [243]

According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct.

<em>Thanks Associative Property!</em>

6 0

3 years ago

Read 2 more answers

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5

Kitty [74]

<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

3K = 24

dividing bothsides by 3

3K/3 = 24/3

K = 8

substitute K = 8 into equation (1)

A = 8B /C --------------(2)

Equation (2) is the equation connecting

A,B and C.

Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

B = 1.875

B = 1. 9 ( approximately)

6 0

1 year ago

What is −3/8÷7/12 ?

RSB [31]

Answer:

-9/14

Step-by-step explanation:

This is my simplest-

Do the keep-change-flip method for this problem (and also any problem involving this)

KEEP -3/8

CHANGE the division sign to multiplication

FLIP the last fraction. 7/12 to 12/7

Now solve the problem by multiplying the fractions

-3/8 × 12/7 =

-3 × 12 = -36

8 × 7 = 56

-36 / 56 =

Simplify it by dividing the numerator (up of the line) and denominator (below the line) to get -9/14

5 0

3 years ago

Read 2 more answers

How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

3 years ago

An entire region or a complete object is reffered to as a _​

An entire region or a complete object is reffered to as a _