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Mashcka [7]
3 years ago
11

The quotient of 52 and the sum of - 4 and -9

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

89

Step-by-step explanation:

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Given that cos(theta) = 8/17 and that theta lies in Quadrant IV, what is the exact value of sin 2(theta)?
Deffense [45]

Answer:    -\frac{240}{289}

=========================================================

Explanation:

Use the pythagorean trig identity \sin^2(\theta)+\cos^2(\theta) = 1 and plug in the fact that \cos(\theta) = \frac{8}{17}\\\\

Isolating sine leads to \sin(\theta) = -\frac{15}{17}\\\\. I'm skipping the steps here, but let me know if you need to see them.

The result is negative because we're in quadrant 4, when y < 0 so it's when sine is negative.

Therefore,

\sin(2\theta) = 2\sin(\theta)\cos(\theta)\\\\\sin(2\theta) = 2*\left(-\frac{15}{17}\right)*\left(\frac{8}{17}\right)\\\\\sin(2\theta) = -\frac{240}{289}\\\\

6 0
1 year ago
2−b/3=−5/2 what is b? Note: the / is a fraction separation
Rudik [331]

Answer:

I think that the answer is

b = 7

Here is the step-by-step solution.....

 See the attached files for the step-by-step solution...><><

7 0
3 years ago
Read 2 more answers
Please help my brain isn’t working
sveta [45]

Answer:

2.25

Step-by-step explanation:

substitute x = -2 into y = (2/3)^x

=> y = (2/3)^-2

=> y = 9/4 = 2.25

4 0
3 years ago
Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply. T
lidiya [134]

Answer:

The points are randomly scattered with no clear pattern

The number of points is equal to those in the scatterplot.

Step-by-step explanation:

The points in the residual plot of the line of best fit that is a good model for a scatterplot are randomly scattered with no clear pattern (like a line or a curve).

The number of points in the residual plot is always equal to those in the scatterplot.

It doesn't matter if there are about the same number of points above the x-axis as below it, in the residual plot.

The y-coordinates of the points are not the same as the points in the scatterplot.

8 0
2 years ago
Read 2 more answers
The heights in cm of some pupils are
tatuchka [14]

The median is a halfway point in the set of data.

List the numbers in order from smallest to largest:

111, 129, 144, 149, 152, 162, 166, 171

Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:

Median = ( 149 + 152 ) /2

Median = 150.5

4 0
3 years ago
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