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Masja [62]
3 years ago
11

A circle has a diameter of 9cm

Mathematics
1 answer:
Katen [24]3 years ago
8 0

For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.

Using the Pythagorean theorem we can calculate the diagonal of the square:

X = SQRT(5^2 + 5^2)

X = SQRT(25 + 25)

X = SQRT(50)

X = 7.07

The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .

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Alex Ar [27]
The result is undefined. 
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3 years ago
Please sketch graph of the function f(x) = |x+2|.
Burka [1]

Answer:

The absolute value can be graphed using the points around the vertex (-2, 0), (-4, 2), (-3, 1), (-1, 1), (0, 2).

Step-by-step explanation:

The find the x coordinate of the vertex, set the inside of the absolute value x + 2 equal to 0. In this case, x + 2 = 0.

x + 2 = 0

Subtract 2 from both sides of the equation.

x = -2

Replace the variable x with -2 in the expression.

y = |(-2) + 2|

The absolute value vertex is (-2, 0).

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

For each x value, there is on y value. Select few z values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

Substitute the x value -4 into f(x) = |x+2|. In this case, the point is (-4,2).

y=2

Substitute the x value -3 into f(x) = |x+2|. In this case, the point is (-3,1).

y=1

Substitute the x value 0 into f(x) = |x+2|. In this case, the point is (0,2).

y=2

You can find the graph in the attachment.

6 0
3 years ago
F Andre sold 16 magazine subscriptions this week, would he reach his goal? Explain your reasoning.
Misha Larkins [42]

Answer:

What are some other numbers of magazine subscriptions Andre could have sold and still reached his goal?

Write an inequality expressing that Andre wants to make at least $68.

Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.

8 0
3 years ago
Which fraction is less than 3/4? 7/8 7/12 15/16 17/20
Alika [10]
7/12  is less than 3/4.

Check:    3/4 is same as 9/12.  Clearly see that 7/12 is less than 9/12
4 0
3 years ago
Read 2 more answers
Round to the nearest thousand then subtract
dsp73
100

6738 —> 7000
5903 —> 6000

7000 - 6000 = 1000
6 0
3 years ago
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