How many times larger is 9 x 10-4 than 3 x 10-10?
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Since the triangles are right use trigonometric ratios to find x and y
A
sin33° = =
Multiply both sides by x
x × sin33° = 2.5 ( divide both sides by sin33° )
x = ≈ 4.590
tan33° = =
Multiply both sides by y
y × tan33° = 2.5 ( divide both sides by tan33° )
y = ≈ 3.850
B
cos72° = =
Multiply both sides by x
x × cos72° = 6 ( divide both sides by cos72° )
x = ≈ 19.416
tan72° =
Multiply both sides by 6
6 × tan72° = y, thus
y ≈ 18.466
Answer:
x=5
Step-by-step explanation:
First, let's understand logarithms.
When there is no base given, like in this problem's right side of the equation, the base is automatically 10.
So, let's re-write that.
Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.