That's the isosceles right triangle, one of the two cliche triangles students are expected to learn. The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.
So v= 3√2 (the two legs are equal) and hypotenuse u = √2 × v = 6.
Answer: C
Answer:
C. 22.28
Step-by-step explanation:
area of square is 4*4 =16
area of half of circle is
(Pi*r²)/2 = 3.14*4/2 = 6.28
16+6.28 = 22.28
We have from Thales theorem that because the 2 triangles are similar, JM/JK=JN/JL. We have that JN=x, JL=x+24 and that JM=7 and JK=28. Substituting, we get:
x/(x+24)=7/28.
Hence, x/(x+24)=1/4. This leads to 4x=x+24, 3x=24, x=8. We have solved for x=JN and this is equal to 8.
Probability of getting a red marble: 3/10
probability of getting a blue marble (after removing a red marble): 2/9
multiply the two fractions together:
6/90
simplify (divide by 6): 1/15 or .06666 repeating
