2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.
Answer:
Step-by-step explanation:
4(8+2n) = 4 + 4n
32 + 8n = 4+4n
4n = -28
n = -7
1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh
the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given
so:
a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches
since there are two triangles, you would multiply the area by 2
a=2(288)
a=576 sq. inches
now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.
a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches
that is your answer
Answer:
B&C: tan F=0.0833 & tan H=12.0000
Step-by-step explanation:
The tangent relationship is always opposite/adjacent.
When F is the reference angle, side GH (1) is the opposite side and side FG (12) is the adjacent.
1/12 is 0.0833
When H is the reference angle, FG (12) is the opposite and GH (1) is the adjacent.
12/1 is 12.
For this case we have the following function:
f (x) = 7,400,000 (1,054) ^ x
Where,
x represents time in years.
Substituting f (x) = 15000000 we have:
15000000 = 7,400,000 (1,054) ^ x
Clearing x we have:
(1,054) ^ x = (15000000) / (7400000)
log1.054 ((1.054) ^ x) = log1.054 ((15000000) / (7400000))
x = log1.054 ((15000000) / (7400000))
x = 13.4 years
Rounding to the nearest year:
x = 14 years
Answer:
the population will reach 15,000,000 in 2014.
