Answer:
Step-by-step explanation:
∠VTY is the tangent chord angle
- Tangent chord angle is the half of the intercepted arc
∠TSV is the inscribed angle.
- Inscribed angle is the half of the intercepted arc
<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>
ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
<u>The measure of angle S</u>
<u>The required angle</u>
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
3 1/2= 3.5 inches and 4 2/3 feet is 56 inches. Now put 3.5/56=0.0625
Consider such events:
A - slip with number 3 is chosen;
B - the sum of numbers is 4.
You have to count ![Pr(A|B).](https://tex.z-dn.net/?f=Pr%28A%7CB%29.)
Use formula for conditional probability:
![Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}.](https://tex.z-dn.net/?f=Pr%28A%7CB%29%3D%5Cdfrac%7BPr%28A%5Ccap%20B%29%7D%7BPr%28B%29%7D.)
1. The event
consists in selecting two slips, first is 3 and second should be 1, because the sum is 4. The number of favorable outcomes is exactly 1 and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event
is
![Pr(A\cap B)=\dfrac{1}{20}.](https://tex.z-dn.net/?f=Pr%28A%5Ccap%20B%29%3D%5Cdfrac%7B1%7D%7B20%7D.)
2. The event
consists in selecting two slips with the sum 4. The number of favorable outcomes is exactly 2 (1st slip 3 and 2nd slip 1 or 1st slip 1 and 2nd slip 3) and the number of all possible outcomes is 5·4=20 (you have 5 ways to select 1st slip and 4 ways to select 2nd slip). Then the probability of event
is
![Pr(B)=\dfrac{2}{20}=\dfrac{1}{10}.](https://tex.z-dn.net/?f=Pr%28B%29%3D%5Cdfrac%7B2%7D%7B20%7D%3D%5Cdfrac%7B1%7D%7B10%7D.)
3. Then
![Pr(A|B)=\dfrac{\frac{1}{20} }{\frac{1}{10} }=\dfrac{1}{2}.](https://tex.z-dn.net/?f=Pr%28A%7CB%29%3D%5Cdfrac%7B%5Cfrac%7B1%7D%7B20%7D%20%7D%7B%5Cfrac%7B1%7D%7B10%7D%20%7D%3D%5Cdfrac%7B1%7D%7B2%7D.)
Answer: ![\dfrac{1}{2}.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D.)
Answer:23
Step-by-step explanation:
92/4