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earnstyle [38]
3 years ago
13

Markuo's window store made a mosaic for the community center. The mosaic had a 7 × 7 array of different color square tiles. If e

ach tile is 3 1 2 ft long, what is the area of the whole mosaic?
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

The correct value of the length of each square tile is 3½ feet long.

Answer:

Total area of mosaic = 600.25 sq.ft

Step-by-step explanation:

We are told the length of each square tile = 3½ ft.

Area of square = L²

Where L is length of side.

Thus;

Area = 3½ × 3½

Area = 49/4 sq.ft

Now, an array of 7 x 7 means 7 rows and 7 columns

Thus, total number of square tiles = 7 x 7 = 49 tiles

So,

total area of whole mosaic = number of tiles × Area of 1 tile

Total area = 49 × 49/4 = 600.25 sq.ft

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Convert 440,000 centimeters to kilometers.
DaniilM [7]
4.4 km

100 cm = 1 m
440,000 cm = 4,400 m
1000 m = 1 km
4,400 m = 4.4 km 
8 0
3 years ago
Miranda bought a brand-new cell phone. She noticed that the battery
Artyom0805 [142]

The function model that represents the amount of battery left after a period  of time is y = 1 ₋ 10%x

Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.

We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.

Let y represent the amount of battery left.

and x represent the number of hours.

Then 5% per half an hour = 5% × 2 = 10%

Now frame the function model:

The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)

⇒ y = 1 ₋ 10%(x)

⇒ y = 1 ₋ 10%x

As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x

Learn more about Function models here:

brainly.com/question/25638609

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5 0
1 year ago
Two number cubes are rolled sequentially. What is the probability that the first number cube shows a five and the other number c
nexus9112 [7]

The probability of first number cube shows a five and the other number cube shows an even number is \frac{1}{12}.

Solution:

Two cubes are rolled sequentially.

Sample space when two dies are rolled

                   =\left\{\begin{array}{l}{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)} \\{(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)} \\{(3,1), 3(, 2),(3,3),(3,4),(3,5),(3,6)} \\{(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)} \\{(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)} \\{(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\end{array}\right\}

Number of sample space = 36

Even numbers getting when two cubes rolled are 2, 4, 6.

First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}

Number of first number cube shows a five and the other number cube shows an even number = 3

Probability of first number cube shows a five and the other number cube shows an even number

                 $=\frac{\text{Number of outcomes}}{\text{Total number of sample space}} $

                $=\frac{3}{36}

                $=\frac{1}{12}

Hence, the probability of first number cube shows a five and the other number cube shows an even number is \frac{1}{12}.

8 0
3 years ago
Write an expression, using an exponent, equivalent to 5x5x5x5
expeople1 [14]

Answer:

5^{4}

Step-by-step explanation:

We use exponents to simplify long multiplication. The number of the exponent stands for how many of the number you have.

Because we have 4 5s, the exponent is 4.

Something like 5x5x5 would be 5^{3}, because there are 3 5s.

3 0
3 years ago
In the figure below, ADBE is the result of a dilation of AABC with point B as the
KATRIN_1 [288]

Answer:

Step-by-step explanation:

the answer is C

8 0
3 years ago
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