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natali 33
14 days ago
10

Brady creates the graph below to keep track of the approximate height of the grass on his

Mathematics
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The perimeter of angle ABC is 98 centimeters. If the radius circle A is twice the radius of circle C and the radius of circle B
tester [12383]

Answer: Circle C has a radius of 7 cm.

Explanation:

Referring to the illustration below:

Let's denote the radius of circle C as x.

Circle A's radius can be represented as 2x.

Circle B's radius can be expressed as 4x.

The length of side AC in triangle ΔABC becomes x + 2x = 3x.

For side BC of triangle ΔABC, we get 4x + x = 5x.

Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.

Given that the perimeter of triangle ΔABC totals 98 cm.

Remember, the perimeter refers to the total length around the triangle.

Hence, Perimeter = 6x + 5x + 3x = 98 cm.

Thus, 14x = 98.

From this, we find x = \frac{98}{14}.

Therefore, x = 7.

This concludes that the radius of circle C is 7 cm.

8 0
2 months ago
The table below represents a function. x 1 2 3 4 5 y 1 16 64 256 1,024 Which statement would best describe the graph of the func
AnnZ [12381]
<span>A table representing a function is provided below.
x    1    2    3    4    5
y    1   16  64 256 1,024

According to the data in the table, from x = 2, the value of y can be represented as
y=4^x
which is equivalent to
4^2=16 \\ 4^3=64 \\ 4^4=256 \\ 4^5=1,024
This indicates an exponential function.

Thus, the </span><span>most accurate description of the function's graph is: "The graph initially appears flat but ascends sharply."</span>
5 0
2 months ago
Read 2 more answers
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignmen
tester [12383]

Response:

The answer is many to one

Step-by-step explanation:[[TAG_9]][[TAG_10]][[TAG_11]]
6 0
1 month ago
Read 2 more answers
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
babunello [11817]

The last part of the question is asking;

What was the total amount spent by all (99.7%) students on textbooks in a semester?

Response:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Stepwise clarification:

The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.

In this case, we have the given mean as 240, and standard deviation as 25

Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)

equals 240 - (3 × 25)

yielding 240 - 75 = 165

Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)

equals 240 + 75 = 315

Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

7 0
1 month ago
What is the domain of the function graphed below?
zzz [12365]
The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.

Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.

Conclusion: x < 7.
5 0
2 months ago
Read 2 more answers
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