A bird catches a fish and flies 100 yards in a straight line at an angle of elevation x degrees from the ground. After flying for 100 yards the bird drops the fish. The fish lands at a spot y yards horizontally from where the bird caught it. What is x?A.)cos -1 y/100
B.)sin -1 y/100
c.)tan -1 y/100
D.)cos -1 100/y
E.)sin -1 100/y
Answers
Answer: Hello there! The correct answer is A.
If the bird flies 100 yards with an angle of elevation of x from the ground, then you could think this as a tringle rectangle, where the hypotenuse is 100 yards, the opposite cathetus is sin(x)*100 and this represents the height at which the bird dropped the fish, not really useful here.
The adjacent cathetus us 100*cos(x), in this case, you are calculating the displacement adjacent to them (because the angle is with respect to the ground) and knowing that the fish lands in a translated y yards horizontally we could write: y = cos(x)*100
now we want to isolate x:
y/100 = cos(x)
arcos(y/100) = arcos(cos(x)) = x
x = arcos(y/100) (or cos-1(y/100) like in the option A)
then, knowing the value of y, we could obtain the angle x with that equation.
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Write 10 12/5 as an equivalent improper fraction
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Find the mean 449, 450, 419, 448, 479, 410, 446, 465, 415, 455, 345, 305, 491, 479, 390, 393, 403, 298, 503, 327, 460, 351, 409, 319
Answers
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
b. square
c. rectangle
d. none of the above
Answers
I took the test and got D) correct i dont get how u got it wrong i did not
Answers
The difference between constructing and drawing geometric figures is as follows:
To construct geometric figure you use many tools like protractor, compass, ruler, scale, square, among others. So you need an accurate representation of the geometric figure. On the other hand, to draw a geometric figure you only need a pencil to do that. You don't need an accurate representation of the geometric figure.
A real-world example of each:
Think about an civil engineer who is constructing a building. He would need many tools to do that. In fact, he would need an building which is an accurate representation of the drawings he made using a software. He would need the accurate measurements and the correct location of each characteristic points of the building. So, this is the construction. On the other hand, when starting with the project, the civil engineer maybe took a paper and began drawing an sketch of his building, he only needed a pencil to do that, so this is the drawing made by hand.
Answers
A : ones
B : thousandths
C : tenths
D : hundredths
Answers
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Answer:
D
Step-by-step explanation:
Answers
Answer:
$12.72 or $25.44
Step-by-step explanation:
if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question dosent specify that.
hope i helped
Final answer:
The total cost after the discount and taxes would be $13.44.
Explanation:
To find the total cost after the discount and taxes, we first need to determine the discount amount.
Since the tickets are on sale for 1/2 price, the discount would be half of the original cost of the tickets.
So the discount amount would be 1/2 * $12 * 2 = $12.
Next, we need to calculate the sales tax, which is 6% of the original cost of the tickets.
The sales tax would be 0.06 * $12 * 2 = $1.44.
Finally, we can calculate the total cost by adding the original cost of the tickets, the sales tax, and subtracting the discount amount.
The total cost would be $12 * 2 + $1.44 - $12 = $13.44.
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