The tangent secant theorem says
PR × PS = PQ²
4 × (4+5) = PQ²
36 = PQ²
PQ=6
Answer: 6
Answer: 46 or 46=4
Step-by-step explanation:
Do what's in the Parenthesis first so 7+2=10 which now give you the equation
[10x 5-4]=2+2
Now we Multiply so we do 10x5 which is 50 so that now gives us the equation[50-4]=2+2
Now we add the 2+2 which is 4 giving us the equation [50-4]=4
Now we subtract 50-4 giving 46
46=4
Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the pyramid is equal to

where
B is the area of the base of the pyramid
H is the height of the pyramid
we have


substitute

Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.