Answer:
70.1 yards
Step-by-step explanation:
See the attached diagram.
Let AC is the reservoir with A as the bottom and C is the top.
Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.
Again, the angle elevation from B to C is 50 degrees.
So, ∠ ABC = 50°
Now,
⇒ x = 109 cos 50 = 70.1 yards.
Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)
Given:
A number is 74% of 58.
To find:
The number.
Solution:
Let the unknown number be n.
The number n is 74% of 58.



The required equation is
and the solution (unknown number) is
.
Therefore, the correct option is B.
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer:
-40
Step-by-step explanation:
Since x is 10 you need to multiply 10*-4 which equals -40.
The correct answer is C. <span>Similar polygons are never congruent.</span>