So we know that 22% of the mass off the chocolate bars is pecans, and that 4.5kg of pecans were used. To find the mass of nutty chocolate bars made with 4.5kg of pecans we can divide the 4.5 by 22 to find 1% of the weight of nutty chocolate bars produced, then multiply it by 100 to find the full weight in kg.
So 4.5/22= 0.205 (3dp), then 0.205x100=20.5kg of nutty chocolate bars produced.
Now to convert the kgs of chocolate bars to lbs, we multiply by 2.205 (as there is approximately 2.205 lbs to 1 kg).
So 2.205x20.5kg=45.203 lbs (3dp) of nutty chocolate bars produced on Tuesday.
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26
Answer:
i think the answer is one third
Step-by-step explanation:
Answer:
it has no solution
Step-by-step explanation:
first of all if we want to know that how many solutions does it the system we can know easly
- if a1/a2=b1/b2=c1/c2 then the system has infinite solution
- if a1/a2=b1/b2≠c1/c2 the system has no solution
- if a1/a2≠b1/b2 the system has no solution
so in this system a1=2,a2=4,b1=3,b2=6,c1=4&c2=4
so 2/4_3/6_4/4=(to becomfortable to compare we have to find the denominators LCM.LCM(4,6)=12
6/12=6/12≠12/12.
so the system has no solution.
&you can also solve by this way
2x+3y=4 (multiply by ‒2 to be y=0)
4x+6y=4
‒4x‒6y=‒8
4x+6y=4
= 0+0=‒4(error)
so it has no solution
i think it is clear & i hope it helps you.
<h2>
Answer: C. 72 in.</h2>
Step-by-step explanation:
- Since the perimeter is 22, take out 10, or (5 × 2) to get 12
- Now divide 12 by 2 to get 6.
- Since the answer is in inches, multiply by 12 to get 72 inches.
Proof:
P = 2L + 2W
22 = 2(5) + 2(6)
22 = 10 + 12
22 = 22
