Answer:
= (√3+4√2)/2√6
Step-by-step explanation:
To evaluate cos45*/sec30*+cosec60*
First according to trigonometry identity
sec 30 = 1/cos30
cosec 60 = 1/sin60
Substitute
cos45*/sec30*+cosec60*
= cos45/(1/cos30) + 1/sin60
= cos45coss30 + 1/sin60
= 1/√2 * √3/2 + 1/(√3/2)
= √3/2√2 + 2/√3
= (√9+4√2)/2√6 +
= (√3+4√2)/2√6
Answer:
13
Step-by-step explanation:
The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.
Answer:
don't know
Step-by-step explanation:
Volume = length x width x height
volume = 8 x 5 x 2
volume = 40 × 2
volume = 80
the smallest possible volume of a box that it will fit in is 80 "3
44 students in Mrs. Vitale's class read 11 books
<h3>Ratio and proportions</h3>
Let the number of students that read 11 books in Mrs. Vitale's class be x
If One fourth of the students in Mrs. Vitale's class read 11 books, then
1/4 x = 11 books
x = 11 * 4
x = 44
Hence 44 students in Mrs. Vitale's class read 11 books
Learn more on ratio and proportion here: brainly.com/question/2914376