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Liono4ka [1.6K]
3 years ago
14

A square has an area that is less than 100m^2. What is a reasonable range for the graph of the square side?

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0
The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
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Name the line of reflection used to map each preimage to its image
rewona [7]

Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

   Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' →  → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

    Coordinates of G' → (-2, 5)

    Midpoint joining the segment GG' →  → (0, 5)

    Therefore, line of reflection → x = 0

14). Line of reflection passing through (0, 0) and slope = -1

    y = -x

Step-by-step explanation:

3 0
2 years ago
What is answer please
Tanzania [10]

Answer:

during the first 3mins the bus was accelerating from 0km to 25 kilometers

during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed

lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km

8 0
3 years ago
John needs 150 feet of rope to section off part of his barn. At a local hardware store he can buy a 30 yard spool for $24 or he
Sphinxa [80]

Answer:

30 yards for 24 vs 1 foot for 25 cents

so lets multiple the yards by 3 to see how many feet

90 feet = 30 yards

90 feet 24 dollars

now lets divide 90 by 24

3.75 so 3.75 per foot

so the second one is way better

Hope This Helps!!!

7 0
2 years ago
Read 2 more answers
A salesman keeps 20% of his sales as a commission. How much does he have to sell to earn $1,000? It is percent proportions by th
BARSIC [14]
If he wants to earn $1000, it means that $1000 must be 20% of his overall sales.

1000 = 20% * x
1000 = 20/100x
1000 = 0,2x         / ÷ 0,2 (both sides)
x = 5000

Answer: A salesman must sell products for $5000 to earn $1000.
6 0
3 years ago
A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standar
Westkost [7]

Answer:

The mean of T is 10 seconds

Step-by-step explanation:

The given parameters are;

The mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds

Each step is independent from the other steps

The variable that represents the total completion time for the three steps = T

We have the mean of T, \overline T, given by the combined mean as follows;

\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }

Where;

The \ mean \ completion \ time \ for \ each \ step \ is \   \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds

n₁ = n₂ = n₃ = 1, each step is taken only once, we have;

\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3}  = 10 \ seconds

Therefore, the mean of T = 10 seconds

5 0
3 years ago
Read 2 more answers
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