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3 years ago

Find the definding set of the function: y= √(1 - Cos3x ) / (1 + Sin4x )

1 answer:

6 0

$y = \frac{\sqrt{\left( 1 - \cos (x\,\text{Rationalize}(0.0523599))\right) }}{\sqrt{\left( 1+\sin (x\,\text{Rationalize}(0.0698132))\right) }}$

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What is 1/10 of 0.2 equal

Svetllana [295]

1/10(0.2)

=(1/10)(0.2/1)

=(1)(36028) / (10)(18014)

=0.02

3 0

3 years ago

Read 2 more answers

3. Complete the square for 3x2 - 6x = 21.<br> Help

PSYCHO15rus [73]

Answer:

x=1+2√2 or x=1−2√2

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−6x=21

Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x2−6x

x2−2x=7

Step 2: The coefficient of -2x is -2. Let b=-2.

Then we need to add (b/2)^2=1 to both sides to complete the square.

Add 1 to both sides.

x2−2x+1=7+1

x2−2x+1=8

Step 3: Factor left side.

(x−1)2=8

Step 4: Take square root.

x−1=±√8

Step 5: Add 1 to both sides.

x−1+1=1±√8

x=1±√8

x=1+2√2 or x=1−2√2

7 0

3 years ago

Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

Svetradugi [14.3K]

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

$60x=80y$

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

$y=x-5$

Now we have two equations, we can use to substitute into the other expression:

$60x=80y$

$60x=80(x-5)$ we substitute y in this equation with the other equation

$60x=80x-400$

$-20x =-400$

$x = 20$

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

5 0

2 years ago

Find the center and radius of (x-4)2 + (y+2)2 = 32

Trava [24]

Step-by-step explanation:

General equation of the circle with center (h,k) and radius r,

(x-h)²+(y-k)²=r²

Therefore, on comparison

center ( 4, -2)

radius r= 4√2

6 0

3 years ago

An artists builds a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal,and the rest is wood.

Softa [21]

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight = $\frac{3}{4} *14.9=\frac{44.7}{4} =11.175 \;kilograms$

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

7 0

3 years ago

Read 2 more answers