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4 years ago

Please please help me!!

Mathematics

1 answer:

love history [14]4 years ago

6 0

Answer:

The submarine is 307.8 yards below sea level.

Step-by-step explanation:

Since the 500 yards are the hypotenuse of the right angle triangle, the acute angle opposite the side of the triangle we need to find is known ( $38^o$ ), we can use the sine function to solve the problem:

$sin(\theta)=\frac{opposite}{hypotenuse} \\sin(38^o)=\frac{x}{500} \\500\,*\,sin(38^o)=x\\x = 307.8307\,\,yards$

which rounded to the nearest tenth is : 307.8 yards

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Factorise: 8x^3 + 27y^3 + 36x^2y + 54xy^2

Free_Kalibri [48]

Answer:

=(2x−3y)(2x−3y)(2x−3y)

Step-by-step explanation:

−27y

−36x

y+54xy

=(2x)

−(3y)

−3×(2x)

×3y+3×2x×(3y)

Using,(a−b)

−b

−3a

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=(2x−3y)(2x−3y)(2x−3y)

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2 years ago

Answer 173.22÷4 and use long division to show work.

olga nikolaevna [1]

43.305 Hope this helps.

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3 years ago

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Thepotemich [5.8K]

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3 years ago

How do I solve for number 15

Mama L [17]

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6 0

3 years ago

A liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle. Calculate the concentration

MrMuchimi

Answer:

20 mg/ml.

Step-by-step explanation:

We have been given that a liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle.

$\text{Concentration of morphine sulfate on g/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}$

To convert the concentration of morphine sulfate on a mg/mL basis, we need to convert 2.4 grams to milligrams.

1 gram equals 1000 milligrams.

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}\times\frac{\text{1,000 mg}}{\text{1 g}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2.4\times\text{1,000 mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2400\text{ mg}}{\text{120 ml}}$

$\text{Concentration of morphine sulfate on mg/mL basis}=\frac{20\text{ mg}}{\text{ml}}$

Therefore, the concentration of morphine sulfate would be 20 mg per ml.

5 0

3 years ago