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ArbitrLikvidat [17]
3 years ago
15

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per secon

d. After how many seconds does the ball attain it's maximum height?

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

The maximum height is reached after 3.75 seconds.

Step-by-step explanation:

Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...

... 120 ft/s - (32 ft/s²)t = 0

... (120 ft/s)/(32 ft/s²) = t = 3.75 s

The ball will not go any higher after its vertical speed is zero.

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Last night, the two dinner specials at Bob's favorite restaurant were salmon filet and filet mignon. The restaurant served 70 sp
julia-pushkina [17]

Based on the given parameters, the number of filet mignon the restaurant served is 14

<h3>How to determine the number of filet mignon the restaurant served?</h3>

From the question, the given parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

This means that the proportion of filet mignon is

filet mignon = 100%- Salmon filets

This gives

filet mignon = 100%- 80%

Evaluate the difference

filet mignon = 20%

The number of filet mignon is calculated as:

filet mignon = 20% * Dinner specials

Substitute the known values in the above equation

filet mignon = 20% * 70

Express 20% as decimal

filet mignon = 0.20 * 70

Evaluate the product

filet mignon = 14

Hence, the number of filet mignon the restaurant served is 14

So, the complete parameters are:

Dinner specials =  salmon filet and filet mignon.

Dinner specials = 70 dinner specials

Salmon filets =  80%

filet mignon = 14

Read more about proportions at:

brainly.com/question/1781657

#SPJ1

6 0
1 year ago
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
RSB [31]

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

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3 years ago
Solve the system using elimination<br> 5x-y=0<br> 3x+y=24
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5x-y=0
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Express x and y in terms of trigonometric ratios of 0.
Georgia [21]
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SEC(θ) = 1 / COS (θ) = 1 / (2 / Y) = Y / 2 
COT (θ) = 1 / TAN(θ) = 1 / (X / 2) = 2 / X 
HUNEY, YOU HAVE ALL OF THE VALUES, NOW JUST SOLVE FOR X AND Y THEN... 
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⦁ Find the distance between the two numbers
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