Answer:
x = √146 = 12.1 (nearest tenth)
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b², where,
c = x
a = √82 km
b = 8 km
Plug in the values
x² = (√82)² + 8²
x² = 82 + 64
x² = 146
x = √146 = 12.1 (nearest tenth)
Answer:
Step-by-step explanation:
Given that the lengths of the sides of a triangle are consecutive integers
Since side cannot be negative we can assume that the sides are
a, a+1 and a+2 where a>0
The largest angle is opposite side a+2 and smallest is angle opposite a
Using sine formula and the given information that the largest angle is twice the smallest angle
we get

Cross multiply to get

Since sin 2A = 2sin A cos A
we get

To find the scientific notation of a number, place a decimal point after the first digit. Count how many places you moved the decimal point and that will be the power of 10.
19,340 = 1.9340×10^4
Answer:
-$500
Step-by-step explanation:
The expected value of a payment from the policy is ...
$500,000 × 0.002 = $1000
Since the business pays $1500 for the policy, the expected value to the business is ...
$1000 - 1500 = -$500 . . . per year
_____
Of course, the expected value to the insurance company is $500 per year.
_____
We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.
Answer:
the answer is 15 hdkdiemidd