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o-na [289]
3 years ago
5

If cos ⁡x=−4/5, and 180°

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

180< x < 270 so x is in 3rd quadrant ,hence tan x is positive cos x=-4/5 tan(x/2) = √ {(1 − cos x) / (1 + cos x)) = √ { (1+4/5)/(1–4/5) } =√{ 9/5)/(1/5) } =√9=±3 now ...

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Work out 4/5 - 3/20 - 2/10
DedPeter [7]

Answer:

9/20

Step-by-step explanation:

LCM of 5, 20, and 10 = 20

4/5

= 4/5 x 4/4

= ( 4 x 4 )/( 5 x 4 )

= 16/20

2/10

= ( 2/10 ) x ( 2/2 )

= ( 2 x 2 )/( 10 x 2 )

= 4/20

4/5 - 3/20 - 2/10

= 16/20 - 3/20 - 4/20

= ( 16 - 3 - 4 )/20

= ( 16 - 7 )/20

= 9/20

5 0
2 years ago
Read 2 more answers
Write (9 + 6i) − (1 + 3i) as a complex number in standard form.
777dan777 [17]

Answer:

8 +3i

Step-by-step explanation:

(9 + 6i) − (1 + 3i)

Distribute the minus sign

(9 + 6i) − 1 - 3i

Combine like terms

9-1 + 6i -3i

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6 0
2 years ago
There were 296296 tickets purchased for a major league baseball game. The general admissiongeneral admission tickets cost ​$6.50
VMariaS [17]

Answer:

The general admission ticket number is 160 and the upper box ticket number is 136

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x be general admission tickets number

let y be upper box tickets  number

So:

6.5 * x + 10 * y = 2400

x + y = 296 => x = 296 - y

Replacing, we are left with that:

6.5 * (296 - y) + 10 * y = 2400

1924 - 6.5 * y + 10 * y = 2400

10 * y - 6.5 * y = 2400 - 1924

3.5 * y = 476

y = 476 / 3.5

y = 136

Now to calculate x:

x = 296 - 136

x = 160

The general admission ticket number is 160 and the upper box ticket number is 136

4 0
3 years ago
The total cost of filling your car with gas varies directly with the number of gallons of gasoline you are purchasing. If a gall
bazaltina [42]

Answer:

8.4

Step-by-step explanation:

8 0
3 years ago
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A closed rectangular box has volume 38 cm ^3. What are the lengths of the edges giving the minimum surface area
Margaret [11]

Answer:

3.361     3.361     3.361  cm

Step-by-step explanation:

Minimum surface are will be a cube

LWH = 38

L = cubrt (38) = 3.361   side length    cm

8 0
2 years ago
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