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vazorg [7]
2 years ago
13

A washer contains a drum that spins at 750 revolutions per minute. To the nearest hundredth, the angular velocity of the drum is

_____ radians per second.
Mathematics
1 answer:
LenaWriter [7]2 years ago
8 0
For this case, the first thing we must do is to take into account the following transformation of units:
 1 revolution = 2pi radians
 1 minute = 60 seconds
 Applying the transformation of units we have:
 (750) * (1/60) * (2 * pi) = 78.54 rad / sec

 Answer:
 
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
You might be interested in
Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two
Rudiy27

Answer:

A

Step-by-step explanation:

Let the smaller room have an area of x^2

Let the larger room have an area of (x + 3)^2

(x+3) ^2 + x^2 = 89               Be careful not to make it 89^2.

x^2 + 6x + 9 + x^2 = 89        Expand the binomial squared

2x^2 + 6x + 9 - 89 = 0          Subtract 89 from both sides

2x^2 + 6x + 9 - 89 = 0          Combine

2x^2 + 6x - 90=0                  Divide by 2

x^2 + 3x - 45 = 0         This factors.

(x + 9)(x- 5) = 0

X + 9 gives nothing useful

x - 5 = 0

x = 5

x + 3 = 5+3 = 8

So the answer is A

3 0
2 years ago
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Ano
BabaBlast [244]
the answer is 27 students
4 0
2 years ago
If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of
sergejj [24]

Answer:

<em>24.66 mg</em><em> of medicine will be left.</em>

Step-by-step explanation:

The given exponential equation is,

A(t)=ie^{rt}

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

A(t)=100e^{-0.14\times 10}

=100e^{-1.4}

=24.66\ mg

3 0
2 years ago
A home building company routinely orders standard interior doors with a height of 80 inches. Recently the installers have compla
Helga [31]

Answer: Alternative Hypothesis

Ha : u ≠ 80 inches ( mean not equal to 80 inches)

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.

While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above, the mean door height is 80 inches

H0 : u = 80 inches

Ha : u ≠ 80 inches ( mean not equal to 80 inches)

3 0
2 years ago
Q: Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a
oksian1 [2.3K]

Answer:

The answer to your question is 7.8 mi

Step-by-step explanation:

Data

H (4,3)

G (10, 8)

Process

1.- Use the distance between to points formula to find the distance

        dHG = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

x1 = 4       y1 = 3

x2 = 10    y2 = 8

2.- Substitution

         dHG = \sqrt{(10 - 4)^{2} + (8 - 3)^{2}}

3.- Simplification

         dHG = \sqrt{6^{2} + 5^{2}}

         dHG = \sqrt{36 + 25}

         dHG = \sqrt{61}

4.- Result

         dHG = 7.8 mi

4 0
2 years ago
Read 2 more answers
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