9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 2/3 when X=1/12means 2/3=1/12
K = 2/3÷1/12 = 8
Now that we know the value of K, we can use it to calculate the value of Y when X=1/2
Y = (8)(1/2) = 8/2=4
Y=4
<span>v(x)=(s/t)
= (3x - 6) / (-3x+6)
= [3(x-2)] / [-3(x-2)] --> 3 is factored out
= 1/-1 </span>---> common terms are cancelled out.
= -1 ---> This is the
simplified formula.
To find the domain, we equate the denominator to 0.
-3x+6 = 0
3x = 6
x = 2
Domain: all values except 2.
w(x)=(t/s)(x)
= (-3x+6)x / (3x-6)
= [-3x(x-2)] / [3(x-2)] --> 3 is factored out
= -x --> The common terms are cancelled out. This is the simplified formula.
Solving for domain:
3x-6 = 0
3x = 6
x = 2
Domain: all values except 2.
So, since the question is asking you what percentage 31.5% is of 473, you can multiply 31.5 by 473 and get <span>14899.5. But, you'll have to change this answer into a percentage. So, you can move the decimal point two places over, and end up with 148.995. Since the question says that you can round to the nearest whole number, you can go ahead and put down 149. Hope this helped.</span>
Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
