Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
C) closest to 2/5.
2/3 is bigger than half 2/10 would be like less than 1/4
Answer:
23.6
Step-by-step explanation:
<u><em>Finding AC:</em></u>
Cos 61 = 
0.48 × 10 = Adjacent
AC = 4.8
<u><em>Now, CB:</em></u>
Cos 29 = 
0.87 × 10 = CB
CB = 8.8
<u><em>The perimeter:</em></u>
=> 10+4.8+8.8
=> 23.6
Answer:
3/5
Step-by-step explanation:
There are 20 balls, numbered 1 through 20.
Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.
So the probability is:
P(even or <5) = P(even) + P(<5) − P(even and <5)
P(even or <5) = 10/20 + 4/20 − 2/20
P(even or <5) = 12/20
P(even or <5) = 3/5