Select the correct answer from each drop-down menu. Right triangle ABC is represented with the right angle at vertex B. Base BC
1 answer:
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>How to get the measures of the other two sides of the right triangle?</h3>Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
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Answer:
Therefore the correct option is b.) $1.15
Step-by-step explanation:
i) the book is 10 days late
ii) there is one day grace
iii) on the second day there is a fine of $0.25
iv) on the third day there is a fine of $0.20
v) for each of the remaining 7 days there is a fine of $0.10 for each day
therefore the total fine for the remaining seven days is = 7 $0.10 =
$0.70
vi) therefore the total fine for the book is = $0.25 + $0.20 + $0.70 = $1.15
Therefore the correct option is b.) $1.15
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
where is the number of people that would show up to the zoo on a given day.
Dividing both sides by 7 will give us the answer: