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2 years ago

Doubling the dimensions of a rectangle increases the area by a factor of 4.

1 answer:

8 0

p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.

The missing options are given below.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Then the true statement will be

Then the correct options are A and E.

More about the dilation link is given below.

brainly.com/question/2856466

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A daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula an=1.5(an-1)-10

Alenkinab [10]

Answer:

c. 600

Step-by-step explanation:

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3 years ago

Read 2 more answers

Addison is 3 times as old as Bailey, and Bailey is 2.5 times as old as Christopher. If the sum of their ages is 66 , how old is

stepan [7]

Answer:

6 years old

Step-by-step explanation:

First, turn the information given in words as equations. Use variables to represent the people:

let A be Addison's age

let B be Bailey's age

let C be Christopher's age

A = 3B (Addison is 3 times as old as Bailey)

B = 2.5C (Bailey is 2.5 times as old as Christopher)

A + B + C = 66 (the sum of their ages is 66) (sum means addition)

Start with the equation for the sum of their ages (A + B + C = 66). You have other equations that can replace the variables in this equation.

A + B + C = 66

(3B) + B + C = 66 Replace A with 3B (because A = 3B)

4B + C = 66 Collect like terms (3B + B = 4B)

4(2.5C) + C = 66 Replace B with 2.5C (because B = 2.5C)

10C + C = 66 Collect like terms (10C + C = 11C)

11C = 66 Isolate "C"

11C/11 = 66/11 Divide both sides by 11 to cancel out 11 on the left side.

C = 6 Christopher's Age

Therefore Christopher is 6 years old.

3 0

3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$