Answer:
2.547
Step-by-step explanation:
2pir=8
1.273=r
d=2r
2.547=d
E) sqrt(30)
This is a nice problem. It was helpful to read the topic at the top.
Notice that the two right triangles are similar. Their sides are in proportion.
That is the side '3' is what 'x' is in the other triangle (you need to rotate it!)
Then 'x' is similar to '10'
3/x=x/10 ---> x^2=30, x=sqrt(30)
If you are patient, you can check that for sqrt(30) pythagoras theorem works for all the triangles.
Best
Then
Answer:
I believe it is 60-10=x because it says she purchased it with 60$ but recieved 10$ in change causing the amount we dont know to be a variable such as "x"
Step-by-step explanation:
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
Answer:
16x + 64
Step-by-step explanation:
(x^2 + 16x + 64) - x^2
16x + 64
