Answer:
BC =21.03540021
Step-by-step explanation:
We know the measure of angle B since the sum of the angles of a triangle add to 180
A + B+ C = 180
61+ B + 12 =180
B = 180 - 12 -61
B =107
Then we can use the law of sines to find BC
sin B sin A
-------- = -------------
AC BC
sin 107 sin 61
-------- = -------------
23 BC
Using cross products
BC sin 107 = 23 sin 61
BC = 23 sin 61/ sin 107
BC =21.03540021
Y = -3x + c
Using (1,-5):
-5 = -3(1) + c
c = -5 + 3(1) = -2
Therefore:
y = -3x - 2
proportional relationships have constant ratios.
the graph is a line, so it is a proportional relationship. (A)
the function is in the form y=kx (proportional function) (C)
Find the ratio of the tables: (B)
D
All represent a proportional relationship
Answer: 13.5 hours.
I got the answer by simply adding up the integers to start with.
Integers = 1, 2, 3 and 5.
The integers added up equal to 11.
Next we add up the remaining fractions.
Fractions = 1/2, 3/4, 3/4 and 1/2.
We can add up 1/2 and 1/2 to equal 1, and 3/4 and 3/4 to make 1.5.
1 + 1.5 = 2.5
Finally, we add up the answer for the integers and the fractions together, (11 + 2.5) which equals 13.5.
Our answer is 13.5 hours.
(Not sure why the answer isn't in the choices)
True: A face of a polyhedron is simply a flat boundary that helps forms the 3D solid.
