Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Answer:
The answer is 0.75.
Step-by-step explanation:
To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.
So there are in total 4 scenarios where no couple is sitting next to each other.
There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.
I hope this answer helps.
For this case, what you should keep in mind are the following considerations:
1) Rewrite the expressions correctly using the properties of the exponents: Addition, multiplication, division, subtraction and negative exponents.
2) Simplify the expression as much as possible.
Answer:
See attached image.
1190 pairs of shoes are defective
<em><u>Solution:</u></em>
Given that shoe company found that 4.25% of the production is defective
The company made 28,000 pairs of shoes
To find: Number of pairs of defective shoes
From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes
Defective shoes = 4.25% of 28,000
Defective shoes 
Defective shoes 
Thus 1190 pairs of shoes were defective
Answer:
a
Step-by-step explanation: