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Elan Coil [88]
4 years ago
13

Verify the identity: cos(a+B)/cos a sin B = cot B -tan a

Mathematics
1 answer:
alexgriva [62]4 years ago
5 0
Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
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Find the median of the data.<br><br> 12, 10, 14, 9, 8, 9, 15, 15
hram777 [196]

Answer:

11

Step-by-step explanation:

First, order the numbers in the given set from least to greatest:

8 , 9 , 9 , 10 , 12 , 14 , 15 , 15

The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.

In this case, the middle numbers are 10 & 12:

Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:

(10 + 12)/2 = (22)/2 = 11

11 is your median.

~

5 0
3 years ago
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PLEASE HELP!! (50 POINTS)
Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

8 0
3 years ago
Help me please this is for a math test. <br> Thank you
zubka84 [21]

Answer:

x + 3y = -12

Step-by-step explanation:

y = mx + b

m is the slope = rise / run:

rise = 1

run = 3

the line is downhill so its negative

m = - 1 / 3

b is the y intercept which is when the line cross over the y axis: - 4

y = - 1/3x - 4

multiply both sides by 3

3y = -1x - 12

add x to both sides

x + 3y = -12

7 0
2 years ago
A football team lost 9 yards on first down and 4 yards on second down. It gained 5 yards on third down. How many yards does it n
GenaCL600 [577]
<span>I Beileve It's 18 Yards</span>
3 0
3 years ago
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A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients
aalyn [17]
You didn't include how many gallons each container of bleach has, so I'm just going assume one container has a gallon inside. if 5% of one gallon is active Ingredients, and there are 10 gallons, then that's 1,000%. (one gal = 100%. 100x10= 1,000) 5 x 10= 50, so 50% of 1,000% is active ingredients, which can be simplified to 5% anyway, so 5%
5 0
3 years ago
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