Arectangle has a width of 3 cm and a length of 10 cm.

what is the effect on the perimeter when the dimensions are multiplied by 10?

a. the perimeter is increased by a factor of 10.

b. the perimeter is increased by a factor of 40.

c. the perimeter is increased by a factor of 100.

d. the perimeter is increased by a factor of 400.

A. The perimeter is increased by a factor of 10.

Step-by-step explanation:

The width of the rectangle = 3,

Length of the rectangle = 10,

Thus, the initial perimeter of the rectangle = 2(3+10) = 2(13) = 26

After the  dimensions are multiplied by 10,

The new width of the rectangle = 30,

Length of the rectangle = 100,

Thus, the new perimeter of the rectangle = 2(30+100) = 2(130)=260

⇒

⇒

Hence, the perimeter is increased by the scale factor 10.

⇒ Option A is correct.

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true