ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
You need to upload the image if you want the answer.
However, I can explain how to solve the problem so that you can determine the angle.
cos theta = side opposite of theta divided by the hypotenuse.
Reminder that the hypotenuse is the side NOT touching the 90° angle.
Hope this helps! If not, upload an image of the drawing.
Answer:
0.0098
Step-by-step explanation:
Given,
- Probability of test is positive if the person has disease, P(T/D)=0.99
Probability of test is negative if the person has disease,
P(T'/D) = 1-0.99 = 0.01
- Probability of test is negative if the person hasn't disease, P(T'/D')= 0.99
Probability of test is positive if the person hasn't disease,
P(T/D') = 1 - 0.99 = 0.01
- Probability of occurrence of disease, P(D) = 0.0001
Probability of not occurrence of disease,
P(D) = 1 - 0.0001 = 0.9999
Probability that test will be positive either disease is present or not,
P(T) = P(T/D).P(D)+P(T/D').P(D')
=0.99 x 0.0001 + 0.01 x 0.9999
= 0.000099 + 0.009999
= 0.010098
So, the probability that the person will have disease if the test is positive,
= 0.0098
So, the required probability will be 0.0098.
I recommend you to use PHOTOMATH for math question like this , you just take a picture of the work and it’ll tell you how to do it , hope it’ll help you
12 units squared
Step-by-step explanation:
You realize that the shape can be divided into 3 shapes;
2 right-angled triangles (one small and one bigger one) and a rectangle. We can find the area of each and then sum them up. Because we are finding area under the shape, the negative signs will be ignored;
Larger right-angled triangle;
½ b * h
½ * 4 * 4 = 8
Smaller right-angled Triangle;
½ * b * h
½ * 2 * 2 = 2
Rectangle;
L * W
2 * 1 = 2
Sum of all the areas;
2 + 2 + 8 = 12
= 12 units squared
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