Answer:
Step-by-step explanation:
32.12 meters below sea level. The diver ascended to the surface at a rate of 8.8 m/min. So the diver ascended 3.65 meters a minute.
a) Use d=rt. D=distance, t= minutes, r=rate
d=8.8t
b) The distance will never be a negative number because you can't have a negative distance to something.
c) 3.65 minutes for the diver to reach the surface.
Answer:
11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11
Step-by-step explanation:
11. 4x+15=75
subtract 15
4x=60
divide
x=15
12. 2x = -32 (subtract 13 from each side)
divide
x=-16
13. multiply each side by
-3/2
x is greater than or equal to 15
14. -3x -18 + 5 = -4
isolate x
-3x=9
x=-3
15. -5x-30 +5=-10
isolate x
-5x = 15
x= -3
16. 2x + 16 = 6x - 14
isolate x
4x = 30
x= 15/2
17 isolate x
x is greater than is equal to -4
18. isolate x
x is greater than -11
Answer:
The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Step-by-step explanation:
