Answer:
49.3 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° =
=
( multiply both sides by 30 )
30 × tan48° = x , then
x ≈ 33.3
Height of tower = 33.3 + 16 = 49.3 ft ( to the nearest tenth )
Let x = one of the legs.
Then, the other leg = x + 3.
Ed will use the Pythagorean Theorem to find the hypotenuse.
So, let a = x one leg. Let b= x + 3 the other leg. And, let c = 15 the hypotenuse.
The Pythagorean Theorem is:
c^2 = a^2 + b^2, where a and b are the legs and c is the hypotenuse.
We have:
15^2 = x^2 + (x + 3)^2
225 = x^2 + x^2 + 6x + 9
Rearranging:
2x^2 + 6x - 216 = 0
Divide by 2:
x^2 + 3x - 108 = 0
Solve by factoring:
(x - 9)(x + 12) = 0
So, x = 9 and x = -12. (x = -12 is not a valid answer.)
x = 9
x + 3 = 12
Conclusion: The legs of the right triangle are 9 inches and 12 inches.
Eddie-G…
Answer:

Step-by-step explanation:
Given : 8%
To find the decimal value of the percentage number
Remove the percentage symbol with 100 in the denominator
gives

Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.
Gives = 
So, the decimal equivalent of the given value is 
Answer:
0.0008
Step-by-step explanation:
The formula for a hypergeometric probability is

where N is the population, A is the number of objects of type A, B is the number of objects of type B, n is the sample size and x is the number of successes.
In this problem, N is 13. A is 5, since there are 5 objects drawn, and B is 8, since there are 8 remaining objects.
The sample size, n, is 5, and x is 5:

Answer:
Step-by-step explanation:
42.6 divided by 0.07 is 608.571428
Regular division.