Answer:

Step-by-step explanation:
Formula for finding the volume of a triangular prism is given as:

where,
b = breadth = 7cm
h = height = 6cm
l = length = 10cm
Thus,




There are 3 face cards for each of the 4 suits, leading to a total possible gain of 120, there are 40 other cards leading to a total possible loss of 80.
120 - 80 = 40.
40 / 52 (total number of cards) = about .77
Final Answer:
The expected value of a draw is positive 0.77 points.
Hope I helped :)
Answer:
infinite solutions
Step-by-step explanation:
Simplify 3x-x-53x−x−5 to 2x-52x−5.
2x-5=2(x+2)-92x−5=2(x+2)−9
2 Expand.
2x-5=2x+4-92x−5=2x+4−9
3 Simplify 2x+4-92x+4−9 to 2x-52x−5.
2x-5=2x-52x−5=2x−5
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Answer:
∠FGB = 111°
Step-by-step explanation:
FGBE is a Kite. If you draw a line segment from F to B in bisects ∠GBE and ∠GFE into two triangles. The angles of a triangle with always add up to 180°. So, in triangle FBG, ∠GFB = 45° and ∠GBF = 24°. You subtract 45 and 24 from 180 and you are left with 111°.
Answer:
Daniel (now) is 3 years old, (2 years ago) is 1 year old.
Kevin (now) is 6 years old, (2 years ago) is 4 years old.
Step-by-step explanation:
Now:
-Kevin: k = d + 3
-Daniel: d
2 years ago:
-Kevin: k - 2 = 4(d - 2)
-Daniel: d - 2
We have the equation:
(k - 2) + 2 = k
4(d - 2) + 2 = d + 3
4d - 8 + 2 = d + 3
3d - 6 = 3
3d = 9
d = 3
k = d + 3 = 3 + 3 = 6