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icang [17]
2 years ago
6

Aleesia has a box of 52 muffins. She wants to put out plates that each have the same number of muffins. What is one possible way

Aleesia could put an equal number of muffins on each plate so there are no muffins left over?
Group of answer choices

9 muffins could go on each plate.

13 muffins could go on each plate.

14 muffins could go on each plate.

17 muffins could go on each plate.
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0
13,because it’s the single number that divides with 52
52:13=4
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If the sine ratio is given, then how can sin 0/2 be determined?
pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

\sin( \frac{ \alpha }{2} )  =  \sqrt{ \frac{1   -  \cos(a) }{2} }

Example.

\sin( \alpha )  =  \frac{ \sqrt{3} }{2}

We must find

\sin( \frac{ \alpha }{2} )

First, use the Pythagorean identity

\sin {}^{2} ( \alpha )  +  \cos {}^{2} ( \alpha )  = 1

( \frac{ \sqrt{3} }{2} ) {}^{2}  +  \cos {}^{2} (a)  = 1

\frac{3}{4}  +  \cos {}^{2} (a)  = 1

\cos {}^{2} (a)  =   \frac{1}{4}

\cos( \alpha )  =  \frac{1}{2}

Now use the half angle identiy

\sin( \frac{ \alpha }{2} )  =  \sqrt{ \frac{1 -  \cos( \alpha ) }{2} }

=  \frac{ \sqrt{1 -  \frac{1}{2} } }{ \sqrt{2} }

=  \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }

=  \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }  \times  \frac{ \sqrt{2} }{ \sqrt{2} }  =  \frac{ \sqrt{1} }{ \sqrt{4} }  =  \frac{1}{2}

So the answer for our example is 1/2

8 0
2 years ago
Which equation matches to the graph?
Nadusha1986 [10]

Answer:

2. y = -1/2x - 1

Step-by-step explanation:

First we want to find the slope of the line.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values using two points (-4, 1) & (2, -2)

(-2 - 1) / (2 - (-4))

Simplify the parentheses.

= (-2 - 1) / (2 + 4)

= (-3) / (6)

Simplify the fraction.

-3/6

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

b is the y-intercept when the line crosses the y-axis.

From the graph, we can see that the point on the y-axis is (0, -1)

Therefore, b is -1.

Plug this into the equation.

y = -1/2x - 1

Hope this helps!

7 0
3 years ago
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myrzilka [38]
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A function is _____ a relation. <br><br> A) always <br> B) sometimes <br> C) never
VikaD [51]
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4 0
3 years ago
How many nanoseconds does it take for a computer to perform one calculation if it performs calculations per second?
igor_vitrenko [27]

I believe the correct question is:

6.7*10^7 calc/sec?

 

So:

1/(6.7 x 10^7) = seconds per calculation

1/(6.7 x 10^7) = 100/(6.7 x 10^9) = 14.9 x 10^-9 seconds per calculation = 14.9 ns

Which is approximately 15 ns

 

Answer:

15 ns

7 0
3 years ago
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