Answer:
49°
Step-by-step explanation:
The given information that BC=DC tells you triangle BCD is an isosceles triangle and that angle y is one of the two equal base angles. Then ...
y + y + 82 = 180 . . . . . the sum of angle measures is 180 degrees
2y = 98 . . . . subtract 82
y = 49 . . . . . divide by 2
The measure of y is 49°.
Dot product is
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>
The equivalent fractions are 3/4 & 12/16 hope this helps!!
Answer:
Aaron's bowling score is 30
David's bowling score is 54
Step-by-step explanation:
The variable representing Aaron's score is = a
The variable representing David's bowling score = d
The sum of their scores is 84.
= a + d = 84...... Equation 1
David's bowling score is 6 less than 2 times Aaron's score.
d = 2a - 6
Substituting 2a - 6 for d in Equation 1
a + 2a - 6 = 84
3a - 6 = 84
3a = 84 + 6
3a = 90
a = 90/3
a = 30
Hence, Aaron's bowling score is 30
d = 2a - 6
d = 2(30) - 6
d = 60 - 6
d = 54
David's bowling score is 54
Answer:
(a) = 0.32 or 8/25
(b) = 0.48 or 12/25
(c) = 4 Boards
Step-by-step explanation:
(a):
0.8 x 2/5
8/10 x 4/10
(8 x 4) / (10 x 10)
(32) / (100)
0.32 or 8/25
(b):
0.8 x 3/5
8/10 x 6/10
(8 x 6) / (10 x 10)
(48) / (100)
0.48 or 12/25
(c):
0.8 x 5
8/10 x 50/10
(8 x 50) / (10 x 10)
(400) / (100)
4 Boards
