Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
Step-by-step explanation:
length = 2×width + 6
84 = 2×length + 2×width
now using the first in the second equation :
84 = 2×(2×width + 6) + 2×width = 4×width + 12 + 2×width
84 = 6×width + 12
72 = 6×width
width = 12 cm
length = 2×width + 6 = 2×12 + 6 = 24 + 6 = 30 cm
Answer:
$1161
Step-by-step explanation:
21.5% of 5400 is 1161.
Answer: The cost of Parker's tuition was $25000
Step-by-step explanation:
Let x represent the cost of Parker's tuition.
Parker was able to pay for 60% of his college tuition with his scholarship. This means that the amount of his college tuition that he was able to pay is 60/100 × x = 0.6×x = 0.6x
The remaining $10,000 he paid for with a student loan. The amount remaining is x - 0.6x = 0.4x. This means that
0.4x was paid with a student loan. Therefore,
0.4x = 10000
x = 10000/0.4 = $25000
