Can you give me a hint? Derivative means to get from another source
68.054 I think. Hope it helps
Answer:
B)313 ft
Step-by-step explanation:
Hello,I think I can help you with this
to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey
Step 1
define
triangle
Hypotenuse=300 feet
opposite side=y
adjacent side=x
angle of depression =30°
Step 2
find the distances
![cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076](https://tex.z-dn.net/?f=cos%5Calpha%20%3D%5Cfrac%7Badjancent%5C%20side%7D%7Bhypotenuse%7D%5C%5C%5C%5Chypotenuse%2Acos%5Calpha%20%3Dadjancent%5C%20side%5C%5C%20so%5C%5Cx%3Dadjancent%5C%20side%3Dhypotenuse%2Acos%5Calpha%5C%5C%5C%5Cx%3D300%5Cft%2Acos%2030%20%5C%5C%5C%5Cx%3D259.8076)
so, the point on the surface of the sea just above hailey is 259.8076 ft from the boat
![sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%5C%20side%7D%7Bhypotenuse%7D%5C%5C%5C%5Chypotenuse%2Asin%5Calpha%20%5C%5Cy%3Dopposite%5C%20side%5C%5C%20so%5C%5Cy%3Dopposite%5C%20side%3Dhypotenuse%2Asin%5Calpha%5C%5C%5C%5Cy%3D300%5Cft%2Asin%2030%20%5C%5C%5C%5Cy%3D150)
hailey is at a depth of 150 feet
Step 3
now,her partner is 25 feet directly below her,it is
partner's depth is =hailey is at a depth of 150 feet+25
Y=175
he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.
X=259.80
Step 4
to find the distance between the partner and the boat we can use
Pythagoras theorem
![adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft](https://tex.z-dn.net/?f=adjacentside%5E%7B2%7D%20%2Bopposite%20side%5E%7B2%7D%20%3Dhypotenuse%5E%7B2%7D%20%5C%5C%5Csqrt%5B2%5D%7Badjacentside%5E%7B2%7D%20%2Bopposite%20side%5E%7B2%7D%7D%20%3DHypotenuse%5C%5CHypotenuse%3D%5Csqrt%5B2%5D%7B175%5E%7B2%7D%20%2B259.8076%5E%7B2%7D%7D%20%5C%5C%5C%5CHypotenuse%3D313.24%20ft)
so, Hailey's diving partner is 313 ft away from the boat(B)
Have a great day.
Answer:
-28![w^{2}](https://tex.z-dn.net/?f=w%5E%7B2%7D)
Step-by-step explanation:
-24
+ (-4
) =
a negative plus a negative is a negative.
if you owe me 24 dollars and then I loan you another 4 dollars then you are in the negative 28 dollars to me.
Both 'w' have same exponent, making them like terms
Answer:
a) P(a)= 0.0001
b) P(b)= 0.0024
Step-by-step explanation:
Given:
Chosen number = 3079
Possible numbers that have chance of winning from 0000 to 9999= 10,000
Winning condition= if made choice matches the winning digits
Now
a)What is the probability that the winning number matches your number exactly?
From 0000 to 9999, only one time can the number 3079 can be the winning number, so
P(a)= 1/10000
= 0.0001
b)What is the probability that the winning number has the same digits as your number in any order?
Winning numbers from 0000 to 10000 that have same digits as 3079 are
4 x 3 x 2 x 1 = 24 ways
Following are the 24 numbers from 0000 to 9999 that have matching digits to 3079:
0379
0397
0973
0937
0793
0739
3079
3097
3970
3907
3790
3709
7039
7093
7930
7903
7390
7309
9073
9037
9370
9307
9730
9703
P(b)= 24/10000
=0.0024 !