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3 years ago

A scuba diver is diving at a constant rate when her

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

-0.25 ; 120 seconds 72 seconds

Step-by-step explanation:

Dive rate is constant :

Change in elevation after 8 seconds :

18 feets to 20 feets below

Rate of change = distance / time

(18 - 20) feets / 8 seconds

(-2 / 8) = - 0.25 feets per second

To reach 50.feets :

She needs to cover (50 - 20) = 30 feets

Time = distance / speed ; 30 feets / 0.25 = 120 seconds

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Need help with number four

Roman55 [17]

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3 years ago

Answer with all calculations

Sloan [31]

Answer:

Part a) The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) The distance between the two stops is 945 meters

Part c) The average speed during the journey is 5.9 m/sec

Step-by-step explanation:

Part a)

Let

x ---> the time in seconds

y ---> the velocity in m/sec

a ---> acceleration in m/ sec^2

we know that

The acceleration is equal to divide the velocity by the time

The acceleration is the slope of the linear equation of the graph

For the first 20 seconds

take the points

(0,0) and (20,7)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{7-0}{20-0}$

$m=\frac{7}{20}=0.35\ m/sec^2$

therefore

The acceleration in the first 20 seconds is $0.35\ m/sec^2$

Part b) we know that

Looking at the graph

The two stops of the bus are the points (0,0) and (160,0)

The stops of the bus represent the x-intercepts of the linear equation

Values of x when the value of y is equal to zero

In the context of the problem

Values of the time when the velocity of the bus is equal to zero

To find out the distance, we need to determine the area of the graph

(because the distance is equal to multiply the velocity by the time)

The area of the graph in the interval [0,160] is equal to the area of two right triangles plus the area of rectangle

$A=\frac{1}{2}(20)( 7)+(130-20)(7)+ \frac{1}{2}(160-130)(7)$

$A=70+770+105=945\ m$

Part c) we know that

The average speed is equal to divide the total distance by the total time

$\frac{945}{160}=5.9\ m/sec$

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3 years ago

Found 17 5/8 to nearest whole number

Svetlanka [38]

18 is the answer to the question 5 divided by 8 is .625 so you have 17.625 round to the nearest whole number gives you 18 lol. Heyy and be a true one and mark me the brainlest answer :)

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3 years ago

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How can I set each side equal to each other?

jekas [21]

RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)

Proving LHS = RHS:

LHS = [a tan(u) + b]² + [b tan(u) - a]²

= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS

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3 years ago

The sum of two numbers is 27 and their product is 50. Find the numbers.?<br><br>

san4es73 [151]

Answer:

a + b = 27

=> a = 27 - b

ab = 50

So, (27 - b) x b = 50

27b - b^2 = 50

b^2 - 27b + 50 = 0

Solving, b = 25, 2

Hence,

Case 1: b = 25, a = 2

Case 2, b = 2, a = 25

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3 years ago

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