Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.
<h3>How to find cost of Victor's tournament?</h3>
- Amount with Victor = $380
Conversion rate of US dollars to Japanese yen = 1 : 94.153
- Cost of the trip = ¥5,488
Ratio of dollar to Yuan
1 : 94.153 = x : 5,488
1/94.153 = x / 5,488
1 × 5,488 = 94.153x
5,488 = 94.153x
x = 5,488 / 94.153
x = 58.2881055303601
Approximately,
x = $58
Amount left with Victor = Total money with Victor - amount spent
= $380 - $58
= $322
Learn more about ratio:
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Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
=
(2sin20°cos20°)cos40°cos80°
=
(2sin40°cos40°)cos80°
=
(sin80°cos80° )
=
(2sin80°cos80° )
=
. sin160°
=
. sin(180 - 20)°
=
. sin20°
=
= right side , thus proven
2x + y = 5
Put the coordinates of the points to the equation and check it:
A. 5 - not make sense
B. (1, 2) - x = 1, y = 2
2(1) + 2 = 2 + 2 = 4 ≠ 5 NOT
C. (2, -1) - x = 2, y = -1
2(2) + (-1) = 4 - 1 = 2 ≠ 5 NOT
D. (3, -1) - x = 3, y = -1
2(3) + (-1) = 6 - 1 = 5 YES
<h3>Answer: D. (3, -1).</h3>
Answer: 240
Step-by-step explanation:
144/3 = 48
5x48= 240