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ruslelena [56]
3 years ago
7

Solve the equation on the interval [0, 2π).

Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

x = pi/2..only

Step-by-step explanation:

The equation states that...,

tan^2x.sin x = tan^2x

;we simplify the equation by dividing both sides by tan^2x...which then leaves our equation as,

; sin x = 1

; x = sin^-1 (1)

; Hence x = pi/2

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When Joseph finished packing his backpack, it had a mass of 5 kilograms. What was the mass of the backpack in grams
worty [1.4K]
There is 1000 grams in a kilogram so he had a mass of 5,000 grames in his bag
7 0
3 years ago
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Anastasy [175]

Answer:

I'll setup the problem and you can compute the answer

Step-by-step explanation:

The formula for simple:

I = P*r*t

I = interest

P = loan amount

r = interest rate per period (period = days)

n = number of periods

P = 10,170

r = .0764/365

t = 272

6 0
3 years ago
Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              a^{2} + b^{2} = c^{2}................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       5^{2} + (x-1) ^{2} = x^{2}

                             ( (a-b)^{2} = a^{2}  + b^{2} -2ab )

               25 + ( x^{2} + 1 - 2x ) = x^{2}

                           25 + 1 -2x = 0               ( ∵ Eliminate x^{2} in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0
3 years ago
The police are concerned about speeding on Wayman Boulevard,
Iteru [2.4K]

Answer:

C) 20 Speeders

Step-by-step explanation:

5 divided by 2 is 2.5

there are 2.5 speeders per hour

over the span of 8 hours just multiply

8x2.5=20

5 0
3 years ago
Solve the equation: <br><br> 9 (x − 9)−3 = −4 (2x + 4)<br><br> 4<br><br> -4<br><br> 100<br><br> 68
Nina [5.8K]

Answer:


Step-by-step explanation:

Applying BODMAS here;

We first solve what is in the brackets:

9x - 81 -3 = -8x - 16

We then put the like terms together:

9x + 8x = -16 + 81 + 3

We then do the addition:

17x = -16 + 84

We then do the subtraction:

17x = 68

Simplifying this gives:

x = \frac{68}{17} = 4

8 0
3 years ago
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