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3 years ago

Factor: 4tan^2x-(4)/(cotx)+sinx(cscx) ...?

1 answer:

8 0

4tan^(2)x-((4)/(cotx))+sinxcscx

Multiply -1 by the (4)/(cotx) inside the parentheses.

4tan^(2)x-(4)/(cotx)+sinxcscx

To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is cotx. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.

4tan^(2)x*(cotx)/(cotx)-(4)/(cotx)+sin...

Complete the multiplication to produce a denominator of cotx in each expression.

(4tan^(2)xcotx)/(cotx)-(4)/(cotx)+(cot...

Combine the numerators of all expressions that have common denominators.
<span>
(4tan^(2)xcotx-4+cotxsinxcscx)/(cotx)</span>

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Simplify<br><br> sqrt(3 + 2 sqrt 2) ...?

trasher [3.6K]

The answer is 1 + √2

sqrt(2) is $\sqrt{2}$
sqrt(3 + 2 sqrt 2) is $\sqrt{3 +2 \sqrt{2} }$
Now, let's simplify $\sqrt{3 +2 \sqrt{2} }$ .
We will use square of sum: (a + b)² = a² + 2ab + b²

$\sqrt{3 +2 \sqrt{2} } = \sqrt{1+2+2 \sqrt{2} }= \sqrt{1+2 \sqrt{2}+2 }= \\ 
= \sqrt{1^{2} +2*1* \sqrt{2} + (\sqrt{2} ) ^{2} } = \sqrt{(1+ \sqrt{2}) ^{2}} =1+ \sqrt{2}$

8 0

2 years ago

Read 2 more answers

Graph a right triangle with the two points forming the hypotenuse. Using the sides,

valentinak56 [21]

Answer:

Step-by-step explanation:

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3 years ago

What is the slope of the line that passes through the points (-4, 3) and (14, 0)?

Brut [27]

Answer:

1/6

Step-by-step explanation:

If you graph your points on a coordinate grid, you will see the rise/run. From the point -4, -3 to the point 14,0 ; there is a rise of 3 and a run of 18. The rise goes over the run and creates a fraction of 3/18 and 3/18 simplified is 1/6! Hope this helps!

6 0

2 years ago

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An amusement park charges each person $15 for entrace into the park and $2 for each ride. Karla spent $39 total on entrance and

ValentinkaMS [17]

Answer:

Karla can ride 12 rides.

Step-by-step explanation:

39-15=24

24/2=12

5 0

2 years ago

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Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run

4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0

3 years ago