Answer:
x ≈ 14.4 cm
Step-by-step explanation:
the third angle of the triangle = 180° - 40° - 46° = 94°
Using the Sine rule in the triangle
= 
( cross- multiply )
x × sin94° = 20 × sin46° ( divide both sides by sin94° )
x = 
≈ 14.4 cm ( to the nearest tenth )
9514 1404 393
Answer:
$109.38
Step-by-step explanation:
The time worked was ...
(12:00 -8:00) +(17:30 -12:45) = 4:00 + 4:45 = 8:45 . . . . hours:minutes
This is 8 45/60 hours = 8 3/4 hours = 8.75 hours.
The pay for 8.75 hours is ...
8.75 × $12.50 = $109.375 ≈ $109.38
Answer:
1.) Exponential Growth
2.) Exponential Decay
3.) Exponential Growth
4.) Exponential Decay
Step-by-step explanation:
<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>
↓
always increasing
<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>
<em> </em>↓
always decreasing
<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>
↓
always increasing
<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>
<em> </em> ↓
always decreasing
<u><em>EXPLANATION:</em></u>
It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Hope this helps and pls tell me if you like my handwriting
Answer:
8. Not similar
9. Similar
Step-by-step explanation:
8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.
9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.
Hope this helps!
