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3 years ago

Without using a calculator how do you evaluate tan 5π/6.

1 answer:

3 0

Remember that pi=180,
so 180/6=30, 30*5=150,
what's tan 150?
Remember that 150 degrees is in the 2nd quadrant, and this is tangent, so it means the answer must be negative, because tan 150= - tan 30, and -tan30=-√3/3.

Answer: -√3/3.

You might be interested in

Express the fractions 1/2, 3/16, and 7/8 with an LCDA.8/16 3/16 14/16B. 1/4 3/4 7/4C. 1/32 3/32 732D. 4/8 6/8 14/8

NISA [10]

The least (or lowest) common denominator of 3, 16 and 8 is 16. That already points us to answer A.

Checking for each fraction:

1/2 * 8/8 = 8/16
3/16 * 1/1 = 3/16
7/8 * 2/2 = 14/16

Yep. Answer A.

3 0

3 years ago

Please help i have such a low GPA and i have to get it up so i can get into high school 100 points

enyata [817]

Answer:

Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.

a) The volume of a cylinder is the area of the base * height

For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.

The area of the base is π (d/2)^2 = π (2 in)^2 = 4π in^2.

The volume of the cuo is 4π in^2 * 8 in = 32π in^3.

Then the number of cups to take the volume of [2000 / 3] π in^2 is:

[2000 / 3]π / [32π] = 20.83

Answer: 21 cups.

b) For this part the diameter of the cup is 8 in and the height is 8 in

Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3

And the number of cups needed is [2000π/3] / (128π) = 5.2

Answer: 5 cups. Good Luck!

From ~Itsbrazts~.

8 0

3 years ago

Read 2 more answers

1. Find two numbers with a common factor of 3 only.

Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and 6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and 9.

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0

3 years ago

If a builder needs p pieces of wood for every 5s square feet of the building, what is the total amount of lumber of he needs to

Black_prince [1.1K]

Answer: He will need 700 pieces of wood.

Step-by-step explanation: Divide the total by how many square feet one piece of wood will cover, so 3,500/5, and you'll get 700.

Hope this helps.

5 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

Kisachek [45]

Answer:

$35x - \frac{9x^2}{2} + C$

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes $35x - \frac{9x^2}{2} + C$ . We add a constant C for any possible constant that was eliminated during differentiation.

4 0

3 years ago