Answer:
The answer is C.
Step-by-step explanation:
Hit 'em with the Law of Sines.
sin(A)/a = sin(B)/b.
Let's say x is equal to "A", thus 5 is "a".
sin(x)/5 = sin(B)/b.
We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + 20^2 = c^2
25 + 400 = 425
sqrt(425) = about 20.6, which we can now substitute "b" with.
sin(x)/5 = sin(90)/20.6
sin(x)/5 = 1/20.6
sin(x)/5 = 0.04854...
sin(x) = 0.2427...
You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.
There are 180 degrees total in a triangle and the tell you one angle is 90. So you solve the equation 4x+6x=90. So x=9
Answer:
58%
Step-by-step explanation:
Given the exponential relation :
Y=52(0.42)^x
Since 0.42 is less than 1, then we can infer that the expression is a Decay function ;
. General form of a exponential function :
y = A(1 - r)^x ; r = Decay rate
Comparing the general equation with the equation given ;
The percentage rate of decrease is obtained thus :
1 - r = 0.42
1 - 0.42 = r
r = 0.58
Rate = 0.58 * 100%
Rate = 58%
3(24) + 2(24) + 5.39(24) = 72 + 48 + 129.36 = 249.36 ~ 249m^2
<span>Total Surface Area: </span>
<span>(add to the above) </span>
<span>2(1/2)(3)(2) = 6m^2 (area of the two triangles) </span>
<span>6 + 149 = 155m^2 </span>
