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
so, the point on the surface of the sea just above hailey is 259.8076 ft from the boat
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.
You can use lattice multiplication or long multiplication. for examples and/or visuals message me.
Answer: B) Non Linear
In order to find out whether a table is linear or not, the numbers have to have a constant rate of change. in order to see whether they do have a constant rate of change or not, try to count the difference between each number on one side, then the other, and see if the difference is the same.
For instance, the total cost numbers go from $205 to $400, which is a $195 difference. Then it goes from $400 to $595, which is again a $195 difference, but pay attention to how it goes from $595 to $725, which is a $130 difference. That $130 difference automatically makes the graph non linear, since the rate of change for the total cost isn’t a constant $195. Just to be sure, you can check the other side as well.
The Hours go from 2 to 5 (3 hour difference), then 5 to 8 (another 3 hour difference), but then 8 to 10. Since the rate of change isn’t 3 hours through the entire Hour side, the table doesn’t have a constant rate of change, which makes this table a non linear function.
If a table doesn’t have a constant rate of change, it’s non-linear. If a table does have a constant rate of change, it is linear. In this case, since the table doesn’t have a constant rate of change, it’s not linear. This responses is kinda long, but I hope it helped!
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
Answer:
4.2 meters
Step-by-step explanation:
The height that the lights will be put is 420 centimeters, and the question asks how many meters off the ground the lights need to be placed, so to solve the question we just need to convert 420 centimeters to meters.
We know that 1 meter is equal to 100 centimeters, so we can solve this using a rule of three:
100 centimeters -> 1 meter
420 centimeters -> X meters
100/420 = 1/X
X = 420/100 = 4.2 meters
The lights need to be placed on the pole at 4.2 meters off the ground.
