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3 years ago

Need help with this question.

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

10 meters by 3 meters

P= 10+10+3+3=26
A= 10×3=30

hope this helps :)

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Adriana has one gallon of juice. She pours a juice into containers that each holds one pint of juice. She gives two pints to her

OleMash [197]

She has 6 pints left

3 0

3 years ago

Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters

KengaRu [80]

Answer:

1) Part A)

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to  multiply  the number of liters by the number of milliliters in 1 liter. This means there are  4,200 milliliters in 4.2 liters. The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Explanation:

1) Data:

Grape juice: 8,000 mililiters

Cranberry juice: 4.2 liter

Orange juice: 12,000 mililiters

There are 1,000 mililiers in 1 liter

2) Part A:

Table:

The table is garbled. This is what the tables could look like:

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

1,000/1 = 1,000
5,000/5 = 1,000
8,000/8 = 1,000

14,000/14 = 1,000

number of mililiters / liters = 1,000

3) Part B)

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to  multiply  the number of

liters by the number of milliliters in 1 liter.

As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are  4,200 milliliters in 4.2 liters.

That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Rank the amounts:

12,000 > 8,000 > 4,200

↑ ↑ ↑

orange grape cranberry

8 0

3 years ago

If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$