Solve [tex]2 cosx=4cosx sin^2x[/tex]

Answer:

x - 1

Step-by-step explanation:

combine like terms

(5x -4x) = x

(-4 + 3) = - 1

Answer:

x - 1

Step-by-step explanation:

(5x - 4) + (3 - 4x)

5x - 4 + 3 - 4x

-4x          -4x

x - 4 + 3

x - 1

Answer:

m=52

Step-by-step explanation:

ABC and FBE are congruent and we know that ABC is 52

90-38=52

so FBE is also 52

Hope this helps ^-^

Answer: Common Multiples

Step-by-step explanation:

Answer:

Given below

Step-by-step explanation:

a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.

b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.

Area of 1 box = 3*3.5= 10.5

c)  The area of the outer rectangle = 8*12= 96 square units.

The area between the two rectangles along the breadth = 3*7= 21 of one side.

The area between the two  sides along the length = 6*1= 6 square units.

Subtracting 21+21+6+6= 54  from 96 gives  42 square units

d)  Area= length *breadth

           = 6* 7= 42 square units.

Hence by all four methods the total area remains the same.

Answer/Step-by-step explanation:

1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)

Collect like terms

7x - 5x = -2 + 22

2x = 20

2x/2 = 20/2

x = 10

2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)

Collect like terms

13x - 10x = 6 + 24

3x = 30

3x/3 = 30/3

x = 10

3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)

12x + 26 + 46 = 180

12x + 72 = 180

12x + 72 - 72 = 180 - 72

12x = 108

12x/12 = 108/12

x = 9

4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)

5x + 5 + 135 = 180

5x + 140 = 180

5x + 140 - 140 = 180 - 140

5x = 40

5x/5 = 40/5

x = 8

the picture is completely blank

Answer :Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

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Answer:

Option B. 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

12 cm,

Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides

So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.

Square root of 144 is the length of the missing side, i.e. 12 cm.

Answer:

The table is 12 feet in length

Step-by-step explanation:

2 * 6 = 12

12 feet in length

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

We have,

Table:

Width = 2 feet

Length = 6 x 2 feet = 12 feet

We will assume that the table is a rectangle.

The area of the table:

= Length x width

= 12 x 2

= 24 square feet.

The perimeter of the table:

= 2 (length + width)

= 2 (12 + 2)

= 2 x 14

= 28 feet

Thus,

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

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Answer:

I believe D

It's sheds video games in a good light!

Hope that helps!

Answer:

yeah d seems to be the most likly

Step-by-step explanation:

Answer:

-6xy-18x

Step-by-step explanation:

To solve -2x(3y+9), multiply -2x by 3y and 9.

Solve

Answer:

-24 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

There's no list but one answer would be sin O = 1.

Answer:

1 million

Step-by-step explanation:

Start counting at position 0, the rightmost position has value 10⁰ = 1

The one left to that 10¹ = 10

... and so forth ...

The 6th position has value 10⁶ = 1000000, a.k.a. one million.

The place value of 3 in 553 049 270 is 1 million.

Here the number is given as 553 049 270.

We have to find the place value of 3 in given number.

What is Place value?

Place value is describe the position or place of a digit in a number.

Now,

To find the place value of 3;

Start counting at position 0, the rightmost position has value [tex]10^{0}= 1[/tex]

The position of 7, one left to 0, has value [tex]10^{1} = 10[/tex]

------ and so on.

Now, position of 3 is 6th position has value [tex]10^{6} = 1000000[/tex]

So, The place value of 3 in 553 049 270 is 1 million.

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Answer:

THE SECOND BULLET

Step-by-step explanation:

Answer:

3n and n

Step-by-step explanation:

like terms are similar terms

Answer:

2x - 5

Step-by-step explanation:

2x + 4 - 9

the 2x gonna stay

so you take 4 - 9 = -5

so the answers gonna be 2x - 5

bc the 5 is negative so you gonna subtract

I hope you understand my english...

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

Answer:

17 seconds

Step-by-step explanation:

7.15 minus 6.58 is .17 or 17 seconds

Answer:

17 seconds

Step-by-step explanation:

7 minutes and 15 seconds minus 6 minutes and 58 seconds

You also have to remember that in a minute, there is 60 seconds, not 100

Answer:

1) B

Step-by-step explanation:

To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.

Answer:

Step-by-step explanation:

Answer:12.7

Step-by-step explanation:

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Answer:

What you need to do is to solve. 2 = -7/4 + 1/4 x

You can try to have same denominator in all numbers to be able to multiply the right and left side by it and remove it

We can write it like this:

8/4 = -7/4 + 1/4  x

We multiply by four the two sides  and get

8 = -7 + x

We can sum 7 to both sides

8 + 7 = x

x= 15

We can replace to see if it's correct

-7/4 + 1/4 * 15 = -7/4 + 15/4 = 8/4

Answer:

120 degrees

Step-by-step explanation:

Rsm right?

Answer:

the awnser would be. 1302÷7=186

Step-by-step explanation:

you divide.

Step-by-step explanation:

hope this is correct.......

Answer:

M = 26

Step-by-step explanation:

4m + 3m - 5 + 3 = 180 degree

7m -2 = 180 degree

7m = 180+2

7m = 182

m = 182/7

m =   26

26 x 4 - 5 = 104 - 5 = 99

26 x 3 +3 = 78+ 3 = 81

Answer:

Student.... 420

Adult.......140