A sprinkler mounted on the ground sends out a jet of water at a 30o angle to the horizontal. The water leaves the nozzle at a speed of 12 m/s. (a) How far does the water travel before it hits the ground?

Answers

Answer 1
Answer:

Answer:

12.7m

Step-by-step explanation:

The equation for motion to be used to find how far the water travels is

xf = xi + Vix(t) + 1/2axt^2

xf = 0 + ViCos α(t) + 0

xf = ViCosα(t)

xf = 12 Cos 30°(t)

xf = (6√3)t

To find the total times we will use the vertical displacement equation

yf = yi + Viy(t) + 1/2ayt^2

0 = 0 + ViSinα(t) + (1/2 * (-9.8)t^2)

0 = 12Sin30°(t) - 4.9t^2

4.9t^2 = 12Sin30°(t)

4.9t^2 = 6t

Divide through by t

4.9t = 6

t = 6/4.9

t = 1.22secs

Put t = 1.22 into (6√3)t

xf = 6√3 * 1.22

xf = 12.7m


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The ratio of the muffins Baker A baked to the number of muffins Baker B baked was 8 : 5. The ratio of the number of muffins Baker B baked to the number of muffins BAker C baked was 4 : 3. If Baker C baked 150 muffins, how many more muffins did Baker A bake than Baker C?

Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide. The larger garden is 12 feet long and six feet wide. Which statement correctly describes Andy gardens?a/The gardens are only congruent.
b. The gardens are similar and congruent.
c. The gardens are congruent, but not similar.
d. The gardens are similar, but not congruent.

Answers

The garden are similar, but not congruent option (D) is correct after applying the concept of similarity.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that:

Andy has two rectangular gardens. His smaller garden is 8 feet long and 4 feet wide.

The larger garden is 12 feet long and six feet wide.

As the corresponding dimensions are not same but have in equal ratio or proportions.

Thus, the garden are similar, but not congruent option (D) is correct after applying the concept of the similarity.

Learn more about the congruent triangle here:

brainly.com/question/12413243

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The garden are similar, but not congruent.

Absolute value of -11

Answers

Hi there! Absolute value means the opposite of a number. Like -11, the opposite of -11 is 11. Therefore, the absolute value of -11 is 11.
Its positive 11 because its the opposite of negative -11

hope this helps

What is the area of a parallelogram when the height is 10 and the base is 15

Answers

Answer:

150

Step-by-step explanation:

it is just like finding the area of a rectangle! 10*15=150

Answer:

150

Step-by-step explanation:

A=bh

A=15×10

A=150

There is no solution to the equation sec x = 0.
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Answers

Answer

yes it is true

A plumber needs to drill a hole that is just slightly larger than 3/16 of an inch in diameter. Which measurement is the smallest but still larger than 3/16?5/16 inch. 13/64 inch. 9/32 inch.

Answers

All we need to do is to find a common denominator for each of the fractions. It's quite easy in this case because each denominator is an iteration of 16, so so LCD is 64:

5/16 = 20/64
13/64 stays the same
9/32 = 18/64
And the hole's size: 3/16 = 12/64

12/64 < 13/64 < 18/64 < 20/64

So the smallest measurment but still larger than 3/16 (12/64) is 13/64 inch.

Mt. Everest is 29,028 feet high. How many miles in this? (there are 5,280 feet in one mile) Solve.

Answers

That would be about 5.49 miles.


From 29,028 feet, divide that by 5,280 feet. This number gives you the amount of miles, which is roughly 5.49.