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PtichkaEL [24]
3 years ago
13

A circle has the equation x2 + (y−7)2 = 121. What is the length of the diameter of the circle?

Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

22

Step-by-step explanation:

The standard form for an equation of a circle is (x-h)^2+(y-k)^2=r^2, where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius of the circle. Therefore, the radius of this circle squared is 121, meaning that the radius of the circle is 11. Since the diameter of a circle is twice the radius, the radius of this circle is 22. Hope this helps!

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Would you be able to help me with this question I don't really understand
il63 [147K]

Okay, here we have this:

Considering the provided information, we are going to identify wich equation applies, so we obtain the following:

x+19=2x

Where x represents the uknown number. Then finally we obtain that the correct equation is the third one.

Now, let's find the missing number solving the equation:

\begin{gathered} x+19=2x \\ 19=2x-x \\ 19=x \end{gathered}

Finally we obtain that the number is equal to 19.

6 0
11 months ago
It takes Lara 1/3 hour to walk to the library 3/4 mile away. What is her walking pace?
stiv31 [10]
2 1/4 miles per hour.
6 0
2 years ago
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A. Calculate the average yearly rate of change in home runs hit from 1990<br> to 1992.
kodGreya [7K]

Answer:

Step-by-step explanation:

Use the rise over run formula

y2-y1/x2-x1

1992-1990/3317-3038

2/-279

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5 0
2 years ago
Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
2 years ago
The length of the wing of an insect in a picture is 4 cm. The scale of the picture is 20:1. What is the real length of the insec
torisob [31]
If you would like to know the real length of the insect's wing, you can calculate this using the following steps:

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The correct result would be 0.2 cm.
3 0
2 years ago
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