In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
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we are given two angles and one side (which is not between the angles)
we find the angle m A by using 'angles of a triangle add to 180°':
m A = 180 - (m B + m C)
m A = 88°
we can find side BC by using The Law of Sines:
BC/sin A = AC/sin B
BC/sin 88° = 15/ sin 68°
BC = 15*sin 88° / sin 68°
BC = 16.19 cm.
Answer:
5log5(1)-3*4log4(3)=-12log4(3)
Step-by-step explanation:
5log5(1) = 0 this is a log rule.
Any log to the 1 is zero.
So it will just be
0-3*4log4(3) = -12log_4(3)
D = 5/6 sqrt(h)
7 = 5/6 sqrt(h)
42/5 = sqrt(h)
h = (42/5)^2 = 1,764/25 = 70.56
The height of the mast is 70.56 miles
The product of 289 and 7 is 2,023 so i assume you are trying to estimate it to the nearest thousand? If so the answer would me 2,000.
Answer:
all real numbers
Step-by-step explanation:
3(2d - 1) - 2d = 4(d - 2) + 5
Distribute on both sides.
6d - 3 - 2d = 4d - 8 + 5
Combine like terms on both sides.
4d - 3 = 4d - 3
Subtract 4d from both sides. Add 3 to both sides.
0 = 0
Since you get a true statement at the end, that means that every real number is a solution of this equation.
Answer: all real numbers