Answer:
Bar graphs Line graphs
Step-by-step explanation: hope it helps
55 hours 40 hours at $8 an hour equals $320 so then 15 hours which is the rest of the 55 hours at 12 an hour equals $180 and $320+$180=$500
Problem 1
<h3>Answers:</h3><h3>arc AB = 122 degrees</h3><h3>angle ADB = 61 degrees</h3>
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Explanation:
Arc BC is 58 degrees. The arc AB combines with it to form semicircle ABC, which is basically arc ABC with measure 180
This must mean arc AB is 180-58 = 122 degrees
When in doubt, chances are the number 180 might be involved (in some way) when it comes to geometry problems. Of course, this isn't always a guarantee. The number does show up a lot though.
Once we determine what arc AB is equal to, we cut it in half to get the inscribed angle ADB. Refer to the inscribed angle theorem. Notice how angle ADB subtends the arc AB.
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Problem 2
<h3>Answer: 9</h3>
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Explanation:
x = length of AE
Since AC = 13, this makes EC = 13-x
We'll use the intersecting chords theorem to find x.
(AE)*(EC) = (BE)*(DE)
x*(13-x) = 6*6
13x-x^2 = 36
-x^2 + 13x - 36 = 0
x^2 - 13x + 36 = 0
(x-9)(x-4) = 0
x-9 = 0 or x-4 = 0
x = 9 or x = 4
This means AE could be 9 units long or 4 units long.
Usually the diagram isn't drawn to scale so we don't really use it all too much (other than initial set up). However, if the diagram was drawn to scale, then notice that AE is over the halfway point of AC. This means we would be able to rule out x = 4 since 4 is not over the halfway point of 13. I have a feeling this is what your teacher might be going for.
In short, only AE = 9 is possible.
39 I think
how many cameras did she buy?
opps I forgot to add 39 to 65 for a total of 104
SORRY
Answer:
z ≈ 145.62
Step-by-step explanation:
using the sine ratio in the right triangle
sin18° = 
= 
( multiply both sides by z )
z × sin18° = 45 ( divide both sides by sin18° )
z = 
≈ 145.62 ( to the nearest hundredth )
