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nydimaria [60]
3 years ago
14

Solve 4 square root of 3 = 8cos

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

Therefore \theta = 30^\circ

Step-by-step explanation:

Given,

4\sqrt{3 } =8 cos \theta

\Leftrightarrow cos \theta =\frac{4\sqrt{3} }{8}

\Leftrightarrow cos \theta =\frac{\sqrt{3} }{2}

\Leftrightarrow cos \theta =cos 30^\circ

\Leftrightarrow  \theta = 30^\circ

Therefore \theta = 30^\circ

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Makovka662 [10]

Answer:

  x = -7

Step-by-step explanation:

Subtract 15 from both sides of the equation.

  x = 8 -15 = -7

8 0
3 years ago
Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

6 0
3 years ago
Write each of the following expressions as a powers of 2: (4·25)÷(23· 1/16 )
WITCHER [35]
<span>(4 · 2^5) ÷ (2^3 · 1/16 )

</span>= (2^2 · 2^5) ÷ (2^3 · 2^-4 )

= (2^7) ÷ (2^-1)

= 2^8
6 0
3 years ago
What type of function does this scatter plot (graph A) look like?
NARA [144]
I think the correct answer is linear
7 0
3 years ago
Chelsea has four hours of free time on Saturday. She would like to spend no more than 2/3 of an hour on each activity. How many
Galina-37 [17]
Namely, how many times 2/3 goes into 4, well, let's just divide them then

\bf \cfrac{\stackrel{\textit{total hours}}{4}}{\stackrel{\textit{hours per activity}}{\frac{2}{3}}}\implies \cfrac{\quad \frac{4}{1}\quad }{\frac{2}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{2}\implies \cfrac{12}{2}\implies 6
4 0
3 years ago
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