All categories

3 years ago

AB is tangent to C. I need to find the value of r.

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

Tangent always meets radius at 90° angle.

Angle ABC = 90° so Pythagoras' theorem applies.

r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3

You might be interested in

2.) Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should

insens350 [35]

The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)

There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12

5 0

3 years ago

Pleasseee hellp for brainleist answer and extra points if you correct the 2 first top rows

andrew-mc [135]

So close! But instead of adding the multiplication sign after the number you need to add them before. Good job though! :)

7 0

3 years ago

Read 2 more answers

Ammonia (NH3) readily dissolves in water to yield a basic solution

natita [175]

I think it’s Arrhenius acid I’m not so sure

8 0

3 years ago

Need help with number 1 and 2!

Musya8 [376]

Answer:

Step by step explanation:

1.PY=LA

2.NO=OS.

4 0

3 years ago

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 1

melomori [17]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

$\bar{x}=63 \\$

Now we can calculate z by z-score formula as

$z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}$

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :brainly.com/question/12402189

5 0

2 years ago