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3 years ago

Calculate the difference between the two times. 8: 15 am. or pm 3: 30 am or pm.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Answer:

5:15 pm is the answer for the question

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Evaluate C = 2 r, for r = 8.

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C = 16

Step-by-step explanation:

Substitute r = 8 into the equation for C, hence

C = 2r = 2 × 8 = 16

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3 years ago

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D. A rotation 270º counterclockwise about the origin

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3 years ago

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately ho

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70.1 ft² of fabric is needed by Lacy to make the sail boat.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let b represent the base of the triangle and h the height, hence:

sin(60) = h / 18

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2 years ago

A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.

IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car ( $v_0$ ) = 40 ft/sec

Deceleration of the car ( $\frac{dv}{dt}$ ) = -10 ft/sec²

Final speed of the car ( $v_x$ ) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, $\frac{dv}{dt}=-10\ ft/sec^2$

Negative sign means the velocity is decreasing with time.

Now, $\frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt})$ using chain rule of differentiation. Therefore,

$\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx$

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

$\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft$

Therefore, the car travels a distance of 80 feet before stopping.

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3 years ago