- Answer: 1000
Step-by-step explanation: Tood estimated to the nearest tenth which is 50 and then he estimated 22 and that was 20 so 20 multiplyed by 50 =1000
It's pretty easy, take the example of this fraction... 
What you do in here is that you note down the <em>factors</em> of 2 and 4 over here.
<u><em>Factors of 2 and 4:</em></u>
2 = 1, 2
4 = 1, 2, 4
Now, you see that the <em>GREATEST</em> Common Factor (GCF) over here is 2.
Now that we see the GCF of 2 and 4 is 2, what you do next is, you have to <u>divide 2 by 2 AND 4</u><u><em>. </em></u>When you do this, you will get your results. 2 = 1 and 4 = 2, now put this in the fraction form again, meaning switch 2 with 1, and 4 with 2 in the fractions... 
So your simplified fraction is 
!
Begin with cos(θ) = 5/13, θ in Quadrant IV
you should distinguish the 5-12-13 right-angled triangle
and then cosØ = adjacent/hypotenuse
x = 5, r = 13 , y = -12, since Ø is in IV
and sinØ = -12/13
also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II,
y = √15 , x = -1
r^2 = x^2 + y^2 = 15+1 = 16
r = 4
sinϕ = √15/4 , cosϕ = -1/4
you must know that:
cos(θ − ϕ) = cosθcosϕ + sinθsinϕ
= (5/13)(-1/4) + (-12/13)(√15/4)
= -5/52 - 12√15/52
= (-5-12√15)/52
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
Answer:
The answer to this is False, False, True.
Step-by-step explanation:
A is false because WAU is an obstute angle, which can't be 55 degree.
B is flase because YAU is actually the angle that is 55 degree, not 35 degree.
C is true because WAX is congruent to YAU and it is 55 degree.
