Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
Recall the unit circle. Sin(150) is 1/2.
Given/equations formed from text:
I: l=w+3
II: A=l*w
III: new area B=(l-2)*w
IV: B=A-30
substitute l in II with I to remove l:
II': A=l*w=
(w+3)*w=
w^2+3w
substitute l in III with I to remove l:
III': B=(l-2)*w=
(w+3-2)*w=
(w+1)*w=
w^2+w
substitute A and B from II' and III' into IV:
B=A-30
w^2+w=w^2+3w-30
30=2w
w=15
insert w=15 into I:
l=15+3=18
->
A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16
B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2
Answer: X equals 8
Step-by-step explanation: figure OUTD is a rectangle. Each angle in a rectangle measures 90 degrees. Therefore we can derive the value of angle X by the following expression;
(7X + 2) + 4X = 90
7X + 2 + 4X = 90
11X + 2 = 90
Subtract 2 from both sides of the equation
11X = 88
Divide both sides of the equation by 11
X = 8.
Answer:
The answer is B
Step-by-step explanation:
When he bought the item he lost 2.25 dollars giving him a net profit of -2.25
When he sold it for 2.25 he gained a net profit of 2.25 which cancels out his negative net profit giving a final product of 0.
