Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets

Positioning a 45-foot ladder against a building that is 36 feet tall, how far from the base of the building will the bottom of the ladder rest?

The solution is 20 days, found as follows:
Each of the three friends initially makes 4 bags of dough. After 10 days, each of these bags is split into 4 new bags:
3 friends × 4 bags = 12 bags, and 12 bags × 4 = 48 bags
Then in the following 10 days, 48 bags are again divided into 4 bags each:
48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.

A(w) = -w² + 100w Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.

Answer:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

Step-by-step explanation:

Three ratios that correspond to 11:111:111

(Choice A) A 1:111:111, colon, 11

By dividing by 1

= 1: 111: 111

(Choice B) B 22:222:222, colon, 2

Dividing by 2

= 11: 111: 111

(Choice C) C 55:555:555, colon, 5

Dividing by 5

= 11: 111: 111

(Choice D) D 99:999:999, colon, 99

Dividing by 9

= 11: 111: 111

(Choice E) E 110:10110:10

Dividing by 10

11: 1011: 1

The corresponding ratios are:

(Choice B) B 22:222:222, colon, 2

(Choice C) C 55:555:555, colon, 5

(Choice D) D 99:999:999, colon, 99

Answer:

On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)

Step-by-step explanation:

We can interpret the coordinates of the triangle's vertices as...

R(-2, 1), S(1, 3), T(-1, 7)

Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...

R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)