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3 years ago

Large Number Calculations

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

19.2 kg

Step-by-step explanation:

Amount of Bananas consumed in US per year = 5.77 million metric tons

Since 1 million = $10^{6}$ and 1 metric ton = 1000 kg, we can write:

Amount of Bananas consumed in US per year = $5.77 \times 10^{6}$ metric tons

Amount of Bananas consumed in US per year = $5.77 \times 10^{6} \times 1000 = 5.77 \times 10^{9}$ kg

Number of people in US = 301 million = $301 \times 10^{6}= 3.01 \times 10^{8}$

We have to find how many kilograms of bananas are consumed per person in 1 year in US. For this we have to divide the total amount of bananas eaten in US per year with total number of people in US, which will be:

$\frac{5.77 \times 10^{9}}{3.01 \times 10^{8}} \\\\ = 19.2$

This means, 19.2 kilograms of bananas are eaten in US per person in a year.

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the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a

ycow [4]

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

$\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123$

⇒ $x = \tan ^{-1} (3.125) = 72.25$ degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)

8 0

3 years ago

Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table

djverab [1.8K]

Answer:

The last table (the bottom one)

Step-by-step explanation:

The ingredients having the same ratio means that, for every number of servings, we should have:

Y/X = constant.

So, for the first table when we have 1 serving, the quotient is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 3/2 = 1.5

The ratios are different.

Then this is not the correct option.

For the second table, when we have 1 serving the ratio is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 4/2 = 2

when we have 3 servings:

Y/X = 8/3 = 2.66

This is not the correct option.

For the third table:

1 serving:

Y/X = 2/1 = 2

2 sevings

Y/X = 3/2 = 1.5

This is not the correct option.

fourth table:

1 serving:

Y/X = 2/1 = 2

2 servings

Y/X = 4/2 = 2

3 servings

Y/X = 8/4 = 2

Here we can see that the ratio is always the same, then the ratio remains constant.

This is the table that shows a possible ratio for ingredients X and Y,

5 0

2 years ago

Write 4^6 as a power of 2.

Nesterboy [21]

4^6= 24
24 power 2=24x24= 576

6 0

2 years ago

Read 2 more answers

pam read 126 pages of her summer reading book in 3 hours. Zack read 180 pages of his summer reading book in 4 hours. If they con

zhuklara [117]

Well, you will need to find out how much each person reads per hour. To find that out, you will need to divide 126 by 3, resulting in 41 pages an hour. If you do the same thing with Zack, you will be able to find out that he reads 45 pages an hour. Now, you will need to multiply the number of pages per hour by 5! if you multiply 41 by 5, you get 205 pages. If you multiply 45 by 5, you get 225 pages. Pam isnt able to read more than 215 pages in 5 hours, but Zack is able to.

8 0

3 years ago

Read 2 more answers

Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$