The answer you are looking for is 14.
Answer:
$7700
Step-by-step explanation:
amount invested + interest = total
amount invested + 700 = 8400
Subtract 700 from both sides.
amount invested = 7700
Answer: $7700
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
Step-by-step explanation:
The point (12, 5)
x = 12, y = 5
=> r =√12²+5² =√144+25= √169=13
so, cos θ = x/r = 12/13 and
cot θ = x/y = 12/5
Answer: Joy types 2 1/2pages
Step-by-step explanation:
Number of pages typed by Trish= 3 1/3 pages
Number of pages typed by joy=3/4 as many pages as Trish=3/4 x 3 1/3 pages
=3/4 x 3 1/3
=3/4 x 10/3
=(30/12) ÷(3/3)
=10/4)÷(2/2)
=5/2=2 1/2
