Answer:
Step-by-step explanation:
Answer:
I pretty sure the answer is <u>A</u><u>S</u><u>A</u>, I hope it's right!
That questions has to do with equivalent fractions, express a fraction in eights.
six and three quarters
= 6 3/4
<span>= 6 + 3/4
</span>= 24/4 + 3/4
= 27/4
and to convert that fraction to eights, just multiply numerator and denominator by 2:
= (27*2)/(4*2)
= 54/8
there are 54 eights in six and three quarters
Answer:

Step-by-step explanation:
Let
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 



(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

Then, the values of the cosine associated with that angle is:

Now, we have that
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)




If we know that
and
, then the value of the function is:


see the attached figure to better understand the problem
we know that
If a and b are parallel lines
then
m∠1=m∠4 --------> by alternate exterior angles
m∠3+m∠4=
--------> by supplementary angles
so
m∠3+m∠1=
therefore
<u>the answer is the option</u>
m∠1 = 110° and m∠3 = 70°