A. Its a square. This means each side times the side would give us the area (s^2)
4/3^2 or 1.3333 x 1.33333 = 16 / 9 area.
B. Really just pick any numbers you want.
16 yards long and 1/9 wide.
As long as they multiply to 16/9
Answer:
1. <2, <7
2. 58
3. 78
4. a and b
h5. <2 and <7 ( i think this is the same question as the first one)
Step-by-step explanation:
2. 2x + 7 = 123 (you have to make them equal to each other because they are consecutive interior angles)
2x + 7 = 123, subtract 7
2x = 116, divide 2 for both sides to make x by itself
x = 58
3. 78 because of consecutive interior angles
Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________
Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________
The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!
Answer:
Total possible number of outcomes = C(24,6) [24 choose 6]
=24!/(6!18!)
= 134596
Out of which there is only one winning combination.
Therefore we conclude:
P(win 20000)=1/134596
P(lose 1)=134595/134596
and hence the expected value is:
20000*(1/134596)+(-1)*(134595/134596)
=-114595/134596
=-0.8514 (rounded to four places after decimal)
Step-by-step explanation:
Hope this helped!
You are given that PS ≅ RS as indicated by the single has mark.
You are given that ∠PST ≅ ∠RST as indicated by the single arc.
You know the segment ST is congruent to itself by the reflexive property.
That is, you have two congruent sides and the angle between them, so you can claim the triangles are congruent by the SAS postulate.
Selection C is appropriate.
