Answer:
4
Step-by-step explanation:
Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer
Answer: 304
Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.
Answer: The interest is: " $ 64 .00 " .
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Step-by-step explanation:
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Take note of the formula:
" Ⅰ = Prt " ;
→ that is:
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→ " Ⅰ = P * r * t " ;
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In which:
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" Ⅰ = the interest " ;
" P = the Principal amount of money " ;
" r = rate " (expressed as the "decimal form" of the percentage) ;
" t = time " (in years) ;
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We are given:
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P = $400 ;
r = 0.08 ;
{<u>Note of interest</u>: That is " 8% " ; since "8 % " = "(8/100)" ;
= "(8 ÷ 100)"
= " 0.08 ".}.
t = 2 ; {that would represent: " 2 (two) years".}.
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We are to solve for "Ⅰ" ; the amount of "Ⅰnterest" :
→ To solve for "Ⅰ " ; we plug in our given values; and calculate:
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→ Ⅰ = P * r * t ;
= 400 * 0.08 * 2 ;
= 64 .
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→ Ⅰ = $ 64.00 .
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Hope this is helpful to you!
Best wishes!
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Answer:
temperature of city a=5
temperature of city b=4
Step-by-step explanation:
Given:
Let temperature of city A= a
temperature of city B=b
As given:
4a=8+3b
a-2b=-3
rearranging 2nd equation we get:
a=-3+2b
substituting above in 1st equation we get:
4(-3+2b)-3b=8
8b - 12 = 3b + 8
8b-3b=12+8
5b = 20
b = 4
Now substituting b=4 in 4a = 8 + 3b
, we get
4a = 8 + 3b
4a = 8 + 3(4)
4a = 8 + 12
4a = 20
a = 20/4
a = 5
temperature of city a and city b on that day is 5C and 4C respectively!
