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astraxan [27]
3 years ago
10

Holly has watched 39% of a movie that is 122 minutes long.

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

39% of 122 is ...

  0.39 × 122 = 47.58 ≈ 48

Holly has watched about 48 minutes of the movie.

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If a line passes thru the points (4,5) and (2,9) the slope of this line is
Allisa [31]

Answer:

m=-2

Explanation:

If a line passes through the points (4,5) and (2,9): to calculate the slope, use the formula below:

\text{Slope,m}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}

Substituting the points, we have:

\begin{gathered} m=\frac{9-5}{2-4} \\ =\frac{4}{-2} \\ =-2 \end{gathered}

The slope of this line is​ -2.

8 0
1 year ago
Verify cot x sec^4x=cotx +2tanx +tan^3x
Tanzania [10]

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

Verifying from left, we have

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { \tan}^{2} x )^{2}

Expand the perfect square in the right:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \: ( 1 +  { 2\tan}^{2} x  + { \tan}^{4} x)

We expand to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  \cot(x){ 2\tan}^{2} x  +\cot(x) { \tan}^{4} x

We simplify to get:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}   +\frac{ \cos(x) }{\sin(x) ) }  \times  \frac{{ \sin}^{4} x}{{ \cos}^{4} x}

Cancel common factors:

\cot(x)  \:  { \sec}^{4} x  = \cot(x)  \:   +  2 \frac{{ \sin}x}{{ \cos}x}   +\frac{{ \sin}^{3} x}{{ \cos}^{3} x}

This finally gives:

\cot(x)  \:  { \sec}^{4} x =  \cot(x) + 2 \tan(x)   +  { \tan}^{3} x

3 0
4 years ago
Which operations is the following set closed under: {2, 4, 6, ...}?
vlabodo [156]
Do you have any answers to choose from 
7 0
3 years ago
3(x+y)=y
andrew-mc [135]

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

6 0
3 years ago
PLEASE HELP<br><br> Which line segment is a radius of K?<br> A) EH<br> B) FG<br> C) DK<br> D) KH
ExtremeBDS [4]

Answer:

HE is the answer I think...no.a

6 0
3 years ago
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