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lana [24]
3 years ago
13

A bird caught a fish on the waters surface and flew in a straight line diagonal to the water for 100 yards. Then, it dropped the

fish straight down. The fish landed at a spot 50 yards away horizontally from the point where the bird caught it.
Select the correct answers.


The bird flies at an angle of 1. ______ degrees from the water, and its height from the ground when it drops the fish is 2. _____ yards.


Blank 1 choices:
A) 30
B) 60
C) 78.7

Blank 2 choices:
A) 8.6
B) 86.6
C) 111.8


Random answers will be reported!

Mathematics
2 answers:
ozzi3 years ago
4 0

Answer:

1. B

2. B

Step-by-step explanation:

** Attached picture of the situation

The bird caught the fish at point A, flew until B (which is 100 yds away, dropped the fish at C (which is horizontally 50 yards from A).

1.

We want the angle that the bird creates with the water (horizontal). It is angle BAC. With respect to the right triangle, we can say that we know "hypotenuse" and "adjacent" side to angle BAC. cosine relates hypotenuse and adjacent, thus we can write:

Cos(BAC)=\frac{50}{100}\\Cos(BAC)=\frac{1}{2}\\BAC=Cos^{-1}(\frac{1}{2})\\BAC=60

correct answer is B

2.

Here, we want to find the distance (length) of segment BC. With respect to the angle BAC (we found to be 60), we can say BC is "opposite". We know hypotenuse to be 100. So let's use sine, since sine is ratio of opposite to hypotenuse. Thus, we can write:

Sin(BAC)=\frac{BC}{100}\\Sin(60)=\frac{BC}{100}\\BC=Sin(60)*100\\BC=86.6

correct answer is B

julia-pushkina [17]3 years ago
3 0

Answer:

60                   86.6

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

You would use the mid-point formula for this

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Answer:

a. 0.0001

b. 0.6561

c. 0.3439

d. B. The event in part​ (a) is unusual because its probability is less than or equal to 0.05.

Step-by-step explanation:

a. # We are given that the probability that a person in the United States has Type B+ blood = 0.10. Also we are told that four unrelated people in the United States are selected at random.

#We have to find here the probability that all four have type B+ blood.

Since the events are independent, we have :

Probability that all four have B+ blood  = 0.10 x 0.10x 0.10x0.10

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Therefore, the probability that all four have type B+ blood is 0.0001

b. We have to find the probability that none have B+ blood. Using the complementary law of probability we have:

Probability that blood type is not B+ = 1 - 0.10= 0.90                                                                        

Therefore, the probability that none have B+ blood

= 0.90 x 0.90 x 0.90x0.90=0.6561

Therefore, the probability that none have B+ blood is 0.6561

c. We have to find the probability that at least one of the four have B+ blood.

#The probability that at least one of the four have B+ blood = 1 -  Probability that none have B+ blood type

=1-0.6561=0.3439

Therefore,the probability that at least one of the four has type B+ blood is 0.3439

d. An event is considered unusual if the probability of the event is small or less than 0.05 . We note that event a is the only small probabilty and is less than 0.05.

-a is thus considered unusual(the rest are all usual events)

                                                                                                                 

6 0
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6 0
2 years ago
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4 0
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In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter
Elenna [48]

Answer:

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Step-by-step explanation:

Given

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To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

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