If sin (x + y) = 1 and cos (x - y) = √3/2, then x =
1 answer:
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Answer: See the diagram below
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Explanation:
The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).
In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).
In column 2, refer to the figures as A, B, C
Figure 1 matches with figure B
Figure 2 matches with figure C
Figure 3 matches with figure A.
These matches are of course the base with the proper height.
Answer:
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
Step-by-step explanation:
From the given information:
Let consider x to be the of volume 40% solution
therefore the volume of 5% is said to be:
10 L= 40% solution volume + 5% solution volume
10 L= (x + 5%) solution volume
making 5% solution volume the subject; we have
5% solution volume= 10 L - x
To estimate the value of the volume, we now have:
Volume of 20% × Concentration of 20%= (Volume of 40% × concentration40%) + (Volume of 5% × Concentration of 5% )
∴
10L × 20%= (x) L × 35% + 10 L × 5%
(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15
x = 4.28 L
x 4.3L
∴
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L - 4.3L= 5.7L
9514 1404 393
Answer:
(a) x: Ferris wheel once; y: roller coaster once
Step-by-step explanation:
The coefficients of x and y are both 1 in the equation representing the statement ...
"if he rides them each once, it takes 14 minutes total."
That tells you that x and y represent the times for one ride.
__
The coefficient of x is 6 in the equation representing the statement ...
"he rides the Ferris wheel 6 times ..."
This tells you the variable x represents the Ferris wheel ride time. It is further confirmation that x represents the time for one ride.
