(1600,3600) you multiply the 4X400 and 9X400
Answer: x= −
2.3 and the total equation looks like this: 9(-2.3) + 8.0 = -12.7
Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
_____
<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Part A:
Given that <span>A
presidential candidate plans to begin her campaign by visiting the
capitals in 4 of 50 states.
The number of ways of selecting the route of 4 specific capitals is given by

Therefore, the probability that she selects
the route of four specific capitals is

Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.
Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of
the different possible routes in order to select the one that is best.
Therefore, "</span><span>No, it is not practical to list all of the different possible
routes because the number of possible permutations is very
large."</span>
Answer:
3/8
Step-by-step explanation:
The equation is given as:

We can simply the equation by getting rid of the denominators which is 4a and 3. Therefore we can multiply both sides with 3*4*a:

On the left hand side 4a cancels with 4a and on the right hand side 3 cancels with 3. We are left with:

∴ After simplying
