Answer:
1) 6.32
2)8.66
3)5.74
4)9.49
5)16.55
6)21.21
7)25.98
Step-by-step explanation:
1) 6,7
2) 8,9
3) 5,6
4) 9,10
5) 16,17
6) 21,22
7) 25,26
The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
tan 30° = apothem / 0.5(length of side)
Substituting the known values,
tan 30° = 5 / 0.5x
The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B.
The square footage without the door and the window is 246
Answer:
x = -6
Step-by-step explanation:
8 + 4x = -16
4x = -16 - 8
4x = -24
x = -24/4
x = -6
Answer:
32 lb
Step-by-step explanation:
Let a = number of pounds of type A coffee used.
Let b = number of pounds of type B coffee used.
From the statement:
"This month's blend used three times as many pounds of type B coffee as type A"
we get this equation:
b = 3a
"Type A coffee costs Karen $5.50 per pound, and type B coffee costs $4.25 per pound."
She spend (in dollars) 5.50a + 4.25b, but since b = 3a, we get
5.5a + 4.25(3a) = 5.5a + 12.75a.
She spent $584, so
5.5a + 12.75a = 584
18.25a = 584
a = 32
She used 32 lb of type A coffee.
