Consider the diagram and the proof below.
1
2
Reason
given
def of sine
Given: In AABC, AD IBC
sin()
Prove: sin(B)
Statement
1 In AABC, AD. LBC
2
In SADB, sin(B) -
3 csin(B) -
4
In SACD, Sin(C)-
5. bsin(C)-
6 2
7 Sin(B) sin(C)
b
с
3
4
mult prop. of equality
def of sine
C
5
6
7
mult prop. of equality
substitution
div. prop of equality
A
b
What is the missing statement in Step 6?
h
Ob=c
a
D
В
O csin(B) = bsin(C)
Obsin(B) = csin(C)
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The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

What is a possible solutions of the x> 3?

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.