We have to find t(theta) in radians.
cos t = cos 65° + cos 55°
We know that:
cos x + cos y = 2 · cos (x+y)/2 · cos (x - y)/2
cos t = 2 · cos (65°+55°)/2 · cos (65°-55°)/2
cos t = 2 · cos 60°· cos 5°
cos t = 2 · 1/2 · cos 5°
cos t = cos 5°
t = 5° = π/36 radians
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Answer: 15 ounces
Step-by-step explanation:
It is given that a company claims the average cereal in boxes of breakfast cereal = 15 ounces
And we know that the mean amount is nothing but the average amount of any data.
Mean is synonym word of average .
The statistical mean is the mean or average that is used to find the central tendency of the data in any question.
Thus, the expected mean amount of cereal per box = 15 ounces.
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
Answer: Roughly 111.97
Step-by-step explanation:
1. 39 divided by 3 is 13.
2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66
3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)
4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).
Hopefully this helps! Feel free to mark brainliest! :)