Answer:The number of dollars that he will receive if he exchanged 42.7 pesos is $2.3058
Step-by-step explanation:
The current exchange rate is
1 peso = 0.054 dollars.
After a trip to Mexico, Jose converted all his pesos back to dollars. The number of dollars that he will receive if he exchanged 42.7 pesos would be 42.7×0.054 = $2.3058
Divide 1017,36 by pi and by the height (the inverse of the formula for the volume):
1017,36/3,14 = 324
324/9 = 36
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
Answer:
∠ABC ≅ ∠DEC
∠DEC = ∠GEF
thus:
∠ABC = ∠GEF
∠GFE ≅ ∠DCE
∠DCE = ∠ACB
thus:
∠ACB = ∠GFE
If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
thus: ΔABC ∼ ΔGEF by AA similar triangle postulate
I hope this helps
Separate the shape in to separate rectangles
Then Separately find the areas of the rectangles
Answer will be the sum of all areas
Which = d) 109
