Cos 70 = horizontal distance /
100 horizontal distance = 100 cos 70 = 32.2feet
Answer:
x=5/2
Step-by-step explanation:
Calculate, rewrite, remove the paretheses
Collect the like terms
Swap sides 75=30x swap to 30x=75
Then divide both sides
Answer:
0.0433
Step-by-step explanation:
Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.
Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:
1 - 0.9567 = 0.0433
Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%
Point-slope form:
y − b = m(x − a<span>), where m is the slope and (a, b) is a point on the graph.
Here that would look like:
y - 2 = 12(x - (-8))
y - 2 = 12(x + 8)
The answer:
</span>y - 2 = 12(x + 8)
Hope this helps.
Perimeter:
The perimeter of the triangle is the sum of its sides.
We have then:
P = 8 + 12 + 10
P = 30 units
Semi-perimeter:
In geometry, the semiperimeter of a polygon is half its perimeter.
s = P / 2
s = 30/2
s = 15 units.
Area:
Knowing the semiperimeter and the sides, the area is:
A = root (s * (s-a) * (s-b) * (s-c))
where,
s: semi-meter
a, b, c are sides.
A = root (15 * (15-8) * (15-12) * (15-10))
A = 39.68626967
A = 40 units ^ 2
