Answer:
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Step-by-step explanation:
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Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
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<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
Answer:
10.54 kg
Step-by-step explanation:
Given that :
Half of blueberries is served with breakfast
The remaining 5270g is served with dinner
How many kilograms of blueberries did the science camp start with :
Total grams of blue berries :
(Grams served at breakfast + grams served at dinner)
Let total blueberries = x
x/2 + 5270 = x
(x + 10540) /2 = x
x + 10540 = 2x
10540 = 2x - x
x = 10540 grams
Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg
