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Anna11 [10]
4 years ago
5

Evaluate the sine, cosine, and tangent of the angle without using a calculator. θ = − 10π 3

Mathematics
1 answer:
Stells [14]4 years ago
4 0
Determine the quadrant adding or subtracting periods -10pi/3+2pi=-4pi/3+2pi=2pi/3
which is the second quadrant because
first quadrant is between 0 and pi/2
second quadrant is between pi/2 and pi
third quadrant is between pi and 3pi/2
fourth is between 3pi/2 and 2pi
now we find the terminal angle since it is the second quadrant we use theta'=pi-theta=pi-2pi/3=pi/3
sin(pi/3)=sqrt(3)/2 sin is positive in the second quadrant
cos(pi/3)=-0.5 cos is negative in the second quadrant
tan(pi/3)=sin(pi/3)/cos(pi/3)=-sqrt(3) tan is negative in the second quadrant

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What fraction is equal to 50% of 1/4
Kipish [7]
1/8


50% is the same as 1/2, so you just multiply 1/2 by 1/4 to get the answer. First, multiply the numerators. 1*1 is 1. Then, multiply the denominators. 2*4 is 8. So, your answer is 1/8. If you want to check this, multiply 1/8 by 2 and you will get 1/4.


(If I did good enough, please mark this answer Brainliest to help me advance levels.)
7 0
4 years ago
You have a large container of mustard oil.You have used 480 quarts of oil. 76% of the oil remains. How many quarts remain?
DiKsa [7]
The best approach to take here is to find out what 1% and 10% are, then multiply them accordingly. 
To find 10%, just divide the amount of quarts by 10.
480/10= 48
Therefore, 10% is 48 quarts.
To find 1%, you then divide the 10% by 10. 
48/10= 4/8
Therefore, 1% is 4.8 quarts.
As you're looking for 76, you can either multiply the 1% by 76, or you can break it down into two parts, which may be easier, which is the method that I will use.
I would split it into 70% and 6%
As you've got 10%, in order to find 70%, you just need to multiply this by 7.
48*7= 336.
you then need to find the odd 6%.
As you've find 1%, you need to then multiply this by 6.
4.8*6= 28.8
You then need to add these together to get your total.
336+28.8= 364.8
As you're looking for the remainder, you then need to take this away from 480.
480-364.8= 115.2
Therefore, you have 115.2 quarts of mustard oil remaining.
Hope this helps :)
5 0
3 years ago
Read 2 more answers
A prism has a length of 3 and one-half centimeters, width of 6 centimeters, and height of 7 and one-half centimeters.
barxatty [35]

Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

7 0
3 years ago
How to write a whole number as a improper fraction
Dimas [21]
Follow these 3 steps to convert a mixed number to an improper fraction:<span>Multiply the whole number by the denominator.Add the answer from Step 1 to the numerator.<span>Write answer from Step 2 over the denominator.</span></span>
4 0
3 years ago
What is 4 3/4 + 7/8 showing all work
Mekhanik [1.2K]
4 \frac{3}{4} + \frac{7}{8}

Convert  mixed numbers  to improper fractions

=  \frac{19}{4} + \frac{7}{8}

Find de LCD  for 4 and 8 :

Factor each denominator  into its primes:

4 = 2^2&#10;

8 = 2^3

Find the  least common denominator 2^3 = 8

Adjust  fractions  based on  the LCD :

\frac{19*2}{8} +  \frac{7}{8}

Since the  denominators are equal , combine the fractions:

\frac{2*19+7}{8}

\frac{38+7}{8}

=  \frac{45}{8}

Therefore:

Convert  improper fractions to mixed numbers

= 5 \frac{5}{8}

hope this helps!
7 0
3 years ago
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