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nasty-shy [4]
3 years ago
7

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

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A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m
fomenos

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

4x = 36

x = 36/4

x = 9 hours

Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours

So, she spends 27 hours patrolling

4 0
3 years ago
the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%
AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, x+y=30 (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

\frac{x}{5}+\frac{9y}{20}=10.5 (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0
3 years ago
One zero of f(x)=x^3-2x^2-5x+6 is 1 what are other zeros of the function
elena-s [515]

Answer:

The other zeros are -2 and 3.

Step-by-step explanation:

As 1 is a zero then (x - 1) is a factor so we divide:

x - 1 )x^3-2x^2-5x+6(x^2-x-6

        x^3-x^2

              -x^2-5x

              -x^2+x

                      -6x+6    

                      -6x+6

                       ...........

x^2 - x - 6 = 0

(x - 3)(x + 2)

x = -2, 3.

7 0
3 years ago
Read 2 more answers
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
LiRa [457]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Is 4 to 7 the same as 7 to 4? Explain why or why not.
Galina-37 [17]

Answer: no

Step-by-step explanation:

4 is smaller than 7. And 7 is greater than 4 so let's just say ur solving a division problem multiplication ect you always need to put the greater number first!

So yeah hope I helped! <3

3 0
3 years ago
Read 2 more answers
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