A projectile if fired from ground level with an initial velocity of 35 m/s at an angle of 35° with the horizontal. How long will it take for the projectile to reach the ground?
Answers
Answer:
about 4.097 seconds
Step-by-step explanation:
The vertical velocity is ...
(35 m/s)sin(35°) ≈ 20.075 m/s
When the projectile reaches the level from which it was launched (ground level), its final velocity will be the opposite of its initial velocity. Thus, the change in velocity is ...
-20.075 -(20.075) = -40.150 . . . . m/s
The acceleration is provided by gravity, which is -9.8 m/s², so the time required is ...
t = Δv/a = (-40.150 m/s)/(9.8 m/s²) ≈ 4.097 s
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The cost of advertising in a local paper for one week is:28 cents per word plus 75 cents a) What is the cost of an advertisement of 15 words for one week? b) What is the greatest number of words in an advertisement costing up to $8 for one week? c) If an advertisement is run for two weeks, the cost for the second week is reduced by 30%. Calculate the total cost for an advertisement of 22 words for two weeks.
terms?
Answers
Answer:
s = -43.245
Step-by-step explanation:
First, you move the constant to the right:
-s=44-0.755
Calculate:
-s=43.245
Then, you change the signs:
s=-43.245
To explain your reasoning, you can say that:
To add any complex numbers together, you add the constants to each other and the numbers together.
Answers
Answer:
If you mean 9 x -2 it's -18
Step-by-step explanation:
Answers
8 - 1.167 = 6.833.
8 times 6 = 48
1 times 6 = 6
then you subtract 11 from 48 = the answer is 37/6
48-11= 37 so then it is 37/6 do not simplify if it says not to but if you were to simplify you would divide 37 by 6 and get 6 with 1 remaining so the answer would be 6 1/6
I hope this helps!
Answers
Answer:
3 feet wide and 9 feet long.
Step-by-step explanation:
The classroom wall has an area of .
The fire code requirements allow a bulletin board with an area of at most 30% of . This means that the maximum area of the bulletin board is
Let L and W be the length and wide of the bulletin board.
If the length of the board is three times as long as the width, then L=3W, and the area of the board is
For the largest board we have,
So, the largest bulletin board that meets the fire code is 3 ft. wide and 9 ft. long.
Answers
Answer: C
Step-by-step explanation:
When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.
Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.
That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.
We can eliminate D because at -2, the numbers are going towards the right, not the left.
Therefore, our answer is C.
Answers
Answer:
350
Step-by-step explanation: