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3 years ago

Convert the angle (θ=180 degrees) into radians

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer: π

Step-by-step explanation:

To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).

$180*\frac{\pi }{180} =\pi$

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Cedric made 30 cups of soup. How many 1 1/4 cups servings does he have? A. 24 servings. B. 28 servings. C. 30 servings. D. 35 se

belka [17]

A. 24 servings. you take the faction 1 1/4 and convert it into a decimal (1.25). 1.25×24=30. Therefore making your answer "A".

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4 years ago

The sum of two numbers is 39. The sum of twice the larger number and three times the smaller number is 93. Find the smaller numb

ExtremeBDS [4]

Answer:3 * (n + 4) = 93

3n + 12 = 93

Subtract 12 to both sides:

3n = 81

Divide 3 to both sides:

n = 27

Step-by-step explanation:

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3 years ago

A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is f

zaharov [31]

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time $t$

At $t=0, the weight of the bucket is 6+36=42 \mathrm{lb}$

After $t$ seconds, the weight of the bucket is $42-0.15 t \mathrm{lb}$

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after $t$ seconds is $x=1.5 t$

Since the well is 80 ft deep, the time to pull out the bucket is $\frac{80}{2}=40 \mathrm{~s}$

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

$W=\int_{t=0}^{t=36} F d x$

Use $x=1.5 t$ and $F=42-0.15 t$

$W=\int_{0}^{36}(42-0.15 t)(1.5 d t)$

$=\int_{0}^{36} 63-0.225 t d t$

$=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}$

$=\left[63 t-0.2 t^{2}\right]_{0}^{36}$

$W=3200 \mathrm{ft} \cdot \mathrm{lb}$

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3 years ago

A line with a slope of 5 passes through the point (0,4). What is its equation in

mezya [45]

The equation of a line is written as y = mx + b, where m is the slope and b is the y intercept.

You are given the slope: 5

The y-intercept is the y value when x is 0, this is also the point given to you (0,4), so the y-intercept (b) is 4.

The equation is y = 5x +4

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3 years ago

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3 years ago