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1 year ago

What set does 4/5 belong in

Mathematics

1 answer:

dem82 [27]1 year ago

3 0

Answer:

Natural numbers are the counting numbers, meaning that they make up the set {1,2,3,4,5,...} So , 4/5 is belong to natural number

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Tan(-212°)=____. 1. -cot 32° 2. tan 32° 3. cot 32° 4. -tan 32°

Marrrta [24]

Answer:

4. $-\tan 32$ °

Step-by-step explanation:

Given:

The tangent of the angle is given as:

$\tan (-212\°)$

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

$-212\°(Clockwise)=360-212=148\°(CCW)$

Therefore, $\tan (-212\°)$ = $\tan (148\°)$

Now, we have the identity for tan as:

$\tan(\pi-\theta)=-\tan \theta$

Here, $\theta=148\°$

Therefore,

$-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)$

Hence, $\tan (-212\°)$ = $\tan (148\°)$ = $-\tan 32$ °

5 0

3 years ago

The population is a Midwest industrial town decreased from 224,000 to 221,000 in just 4 years. Assuming that this trend continue

valina [46]

Answer:

227750

Step-by-step explanation:

If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.

So, the rate of increase in population is $\frac{3000}{4} = 750$ persons per year.

Now, we have to calculate the population of the town after an additional 5 years.

So, the population in 5 years will increase by (750 × 5) = 3750

Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)

7 0

3 years ago

If you make 75 cents in an hour, how many dollars will you make in a day?

Anettt [7]

.75 x 24 hours in a day gives you = 18 dollars .

3 0

3 years ago

kyra invested $400 at 3% for 3 years . lishshawn invested $500 at 4% for 2 years calculate who earn the most interest and how mu

eimsori [14]

Answer:

Okay, so a bit of math is involved, along with steps.

Step-by-step explanation:

Kyra invested $400 at 3% for 3 years. meaning 3% of $400 is 12. 400+12=

Year 1: $412

3% of 412=12.23+412=

Year 2: $424.23

3% of 424.23=12.7+423.23=

Year 3: $435.93

Kyra made $35.93 in investments.

Lishsawn invested $500 at 4% for 2 years. Meaning, 4% of $500 is 20. 500+20

Year 1: $520

4% of 520=20.8+520

Year 2: $540.8

Lishawn made $40.8 dollars in investments. Meaning that Lishawn made $4.87 more dollars

6 0

3 years ago

What are the mean, median, and mode of the data in the following sample?

Leto [7]

Answer:

Step-by-step explanation: You have to add all the numbers together for the mean then for the median you put them in order from least to greatest. Then put your finger on the first and last number and start counting down until you have the middle number.

6 0

3 years ago