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3 years ago

11. Robert photographs a lush forest of sea fans after diving 40 feet in the Reefs of

1 answer:

8 0

Sea level is 0

robert dives 40 ft.....-40
he then rises 23 ft.....-40 + 23 = -17
he then dives 19 ft to meet Sam....-17 - 19 = -36
together they rise 31 ft...-36 + 31 = - 5

they are 5 ft below sea level <==

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Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac

Alinara [238K]

It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.

<h3>What is the equation of motion?</h3>

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have:

The height of the Sharon from the diving board = 18 feet

The initial upward velocity of the Sharon = 4 ft/s

The height of the Megan from the ground = 5 feet

The initial upward velocity of the beach ball = 16 ft/s

We know the equation of motion is given by:

$\rm h(t) = x + ut+\frac{1}{2} gt^2$

Put x = 18 feet and u = 4 ft/s in the above equation, we get:

$\rm h(t) = 18 + 4t+\frac{1}{2} \times9.8t^2$ ....(1) [g = 9.8 m/s²]

Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:

$\rm h(t) = 5 + 16t+\frac{1}{2} \times9.8t^2$ ....(2)

Equate the equation (1) and equation (2), we get

$\rm 18 + 4t+\frac{1}{2} \times9.8t^2= 5 + 16t+\frac{1}{2} \times9.8t^2\\$

18 + 4t = 5 + 16t

12t = 13

t = 1.08 seconds

Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.

Learn more about the equation of the motion here:

brainly.com/question/13514745

6 0

2 years ago

Find the ratio of 3 3/4 to 7 1/4

Sergio039 [100]

Answer:

15 : 29

Step-by-step explanation:

(3 3/4) / (7 1/4) = ((3·4+3)/4) / ((7·4+1)/4)

= (15/4) / (29/4) = 15/29

The ratio of the two numbers is 15 : 29.

5 0

3 years ago

Marcus, Shaun, and Tristan each invested into new business. They invested 1 point

Schach [20]

Shaun invested $176,250 into the new business.

Marcus invested half of the $940,000 so the amount that Shaun and Tristan invested is:

= 940,000 / 2

= $470,000

Shaun and Tristan invested in the ratio 3:5.

The amount that Shaun invested is:

<em>= (Ratio of Shaun / Sum of the ratios) x Amount both invested </em>

= (3 / (3 + 5 )) x 470,000

= 3/8 x 470,000

= $176,250

In conclusion, Shaun must have invested $176,250 into the business.

<em>Find out more at brainly.com/question/771006.</em>

4 0

3 years ago

To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you

vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then $x=\frac{c*b}{a}$