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jenyasd209 [6]
3 years ago
15

1.3

Mathematics
1 answer:
krok68 [10]3 years ago
4 0

Answer:

The bottle that costs R59,99 for 375 g is cheaper

Step-by-step explanation:

The given costs of the bottles of honey are given as follows;

The cost of one of the bottles of honey = R89,99 for 530 g

The cost of the other bottle of honey = R59,99 for 357 g

Let 'x' represents the bottle of honey that costs R89,99 and let 'y' represent the bottle of honey that costs R59,99, we have;

The unit cost (cost per gram) for the bottle of honey, 'x', C/gₓ = R89,99/(530 g) ≈ R 0.16979/g

The unit cost (cost per gram) for the bottle of honey, 'y', C/g_y = R59,99/(357 g) ≈ R 0.168/g

Given that the unit cost of a bottle 'y' ≈ R 0.168/g is less than the unit cost of a bottle of 'x' ≈ R 016979/g, a bottle 'y' is cheaper than the bottle 'x'

Therefore;

The bottle that costs R59,99 for 375 g is cheaper than the bottle that costs R89,99 for 530 g.

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Answer:

22.5 degrees

Step-by-step explanation:

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the smaller angle is 22.5 degrees

4 0
2 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

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<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

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3 years ago
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The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
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3 years ago
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A number cube is rolled 14 times and the results are recorded in the table.
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