I need to find m<3 and m<4​

Expand sin(u - v) using the angle sum formula for sine:

sin(u - v) = sin(u) cos(v) - cos(u) sin(v)

Recall the Pythagorean identity: for all x,

cos²(x) + sin²(x) = 1

Dividing both sides by cos²(x) gives

1 + tan²(x) = sec²(x)

(since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x))

With 3π/2 < u < 2π, we expect sin(u) < 0, and with π/2 < v < π, we expect cos(v) < 0 and sin(v) > 0.

Solve for sin(u) :

sin²(u) = 1 - (4/5)²

sin(u) = - √(1 - 16/25)

sin(u) = - √(9/25)

sin(u) = -3/5

Solve for sec(v) :

sec²(v) = 1 + (-12/5)²

sec(v) = - √(169/25)

sec(v) = -13/5

Take the reciprocal of both sides to solve for cos(v) :

1/sec(v) = 1 / (-13/5)

cos(v) = -5/13

Solve for sin(v) :

sin²(v) = 1 - cos²(v)

sin(v) = √(1 - (-5/13)²)

sin(v) = √(144/169)

sin(v) = 12/13

Now put everything together:

sin(u - v) = (-3/5) (-5/13) - (4/5) (12/13) = -33/65

Answer:

13= g

or

g = 13

Step-by-step explanation:

first we transpose

16-3= g

calculate

13= g

Answer:

If your asking what plus 400 then it would be 564

Step-by-step explanation:

You had the first 2 numbers then subtract 400

564 is added with 400 to make 568 + 396 same as + 400.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

568 + 396 = x + 400

Solve for x.

568 + 396 = x + 400

Subtract 400 on both sides.

964 - 400 = x

x = 564

Thus,

568 + 396 is the same as 564 + 400.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

As per the given data, there are 2 different ways they can stand in line.

When we say "line up," we usually mean that the arrangement is in some sort of order or sequence.

As previously stated, if there are two students, there are two possible ways for them to line up in a sequence. If we consider the order or position they are in, the following arrangements are possible:

There are only two possible arrangements when there are two students: Zachary in front of Anthony or Anthony in front of Zachary.

Thus, they have two options for standing in line.

For more details regarding lineups, visit:

https://brainly.com/question/30497986

#SPJ2

Answer:

-0.4.

Step-by-step explanation:

Average rate of change = difference in g(x) / difference in x

= (0 - 2) / (1 - (-4))

= -2/5 or -0.4.

The average rate of change of g over the interval -4 < t < 1 is -0.4

'A rate of change is a rate that describes how one quantity changes in relation to another quantity.'

According to the given problem,

Interval = -4 < t < 1

We know,

rate of change = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]

y₂ = 0

y₁ = 2

x₂ = 1

x₁  = -4

Rate of change = [tex]\frac{0-2}{1-(-4)}[/tex]

                          = [tex]\frac{-2}{5}[/tex]

                          = - 0.4

Hence, we can conclude, the average rate of change over the given interval is -0.4.

Learn more about average rate of change here:

https://brainly.com/question/23715190

#SPJ2

Answer:

(60 x 25) - 25 = 1475

Step-by-step explanation:

Answer:

1375

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

$0.75 for each smoothie

Answer:

ive tried working it out and i couldnt seem to get it but my best guess would be C OR B

Step-by-step explanation:

Answer:

90 % increase

Step-by-step explanation:

To find the percent increase, take the new number minus the original number

19-10 = 9

Divide by the original number

9/10 = .9

Change to a percent

.9 * 100 % = 90 % increase

Answer:

(final - initial / initial ) * 100

19 - 10/10 * 100

9/10 * 100

90 percent

Answer:

m=1/3

Step-by-step explanation:

Answer:

67.34 is 26% of 259

Step-by-step explanation:

.................

Answer: x= -8

Step-by-step explanation: 7x=-56. The goal is to find just 1x. To do this, you need to divide both sides by 7. So 7x divided by 7 is x, and -56 divided by 7 is -8. So x= -8.

Answer:

I would say c and b

Step-by-step explanation:

I would say this because with out the number it would be that same thing and the same eqaution and  formation

Respuesta: 0.011

Explicación paso a paso:

Dado que:

Número de sabor a refresco = 10

Número de sabor a piña = 1

Número de sabor a fresa = 1

P (primero es fresa) = número de sabor a fresa / número total de sabor

P (primero es fresa) = 1/10

P (el segundo es sabor a piña) = número de sabor a piña / número total de sabor

P (segundo sabor a piña) = 1/9

Probabilidades independientes:

P (primero es fresa) * P (segundo sabor a piña)

= (1/10) * (1/9)

= 1/90

= 0.011

Answer:

103

Step-by-step explanation:

a triangle has a total of 180* so 180-40-37 will give yu the missing side which is 103

Answer:

g/9 or g÷9

Step-by-step explanation:

expressions dont have equal signs. hope this helps!

Step-by-step explanation:

The required expression is given as:

[tex]g \div 9[/tex]

Answer:

Step-by-step explanation:

The nth term of an Arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term

n is the numebr of terms

d is the common difference

If the 17th term has a value of 28, then

T17 = a + 16d = 28 ........ 1

If the 33rd term has a value of 78 then;

T33 = a+32d = 78 ...... 2

Solve simultaneously;

a + 16d = 28 ........ 1

a+32d = 78 ...... 2

Subtract

16d - 32d = 28-78

16d = 50

d = 50/16

d = 25/8

From 1;

a + 16d = 28

a + 16(25/8) = 28

a + 50 = 28

a = 28 - 50

a = -22

Get the 129th term

T129 = a + 128d

T129 = -22 + 128(25/8)

T129 = -22 +25(16)

T129 = -22+400

T129 = 378

Hence the 129th term is 378

Answer:

0.99

Step-by-step explanation:

Brainliest please

Answer:

The next three terms are 54, 162, 486

Step-by-step explanation:

Exponential sequences you multiply to find the next term

6 x 3 = 18 (to find the next term you can multiply the previous term by 3)

18 x 3 = 54

54 x 3 = 162

162 x 3 = 486

Answer: 2:5

Step-by-step explanation: The ratio of circles to all of the shapes is 6:15. This simplified is 2:5. Here, we divided by 3 which results in 2 and 5.

The simplest ratio of circles to total shapes is 2/5.

Here,

There are 6 circles and 9 triangles.

We have to find, simplest ratio of circles to total shapes.

What is Ratio?

A ratio indicates how many times one number contains another.

Now,

There are 6 circle.

And, Total number of shapes = 6 + 9

                                             = 15

Hence,

The simplest ratio of circles to total shapes = [tex]\frac{6}{15}[/tex]

                                                                  = [tex]\frac{2}{5}[/tex]

So, The simplest ratio of circles to total shapes is 2/5.

Learn more about the ratio visit:

https://brainly.in/question/21176443

#SPJ2

Answer:

187: 51: 85

Step-by-step explanation:

11+3+5=19

323/19= 17

11*17= 187

3*17= 51

5* 17= 85

Step-by-step explanation:

2(5.7) + 2(6.2)

11.4 + 12.4

23.8

Answer:

23.8

Step-by-step explanation:

2p + 2w = 2 * 5.7 + 2 * 6.2

             = 11.4 + 12.4

            = 23.8

Answer:

i think its y=-1x+-1

Step-by-step explanation:

Answer:

y=-x-1

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

a*a*a*a*a*a*a

a^7  when you multiply, you add the power

Answer:

Infinitely many

Step-by-step explanation:

Answer:

one is the right answer because on the right side6+2 =8 and the left side = 8 but the answer is 8

Answer:

2330.51 miles

Step-by-step explanation:

Given that the speed of the airplane = 610 mph.

The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.

So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.

As, distance = time x speed, so

The distance covered at 270 degrees, [tex]d_1 = 1\times610=610[/tex] miles.

The distance covered at 310 degrees, [tex]d_2 = 3\times610=1830[/tex] miles.

Total distance covered, d, is the magnitude of the sum of vectors [tex]\vec{d_1}[/tex] and [tex]\vec{d_2}[/tex] as shown in the figure.

The angle between the vectors [tex]\vec{d_1}[/tex] and [tex]\vec{d_2}[/tex], [tex]\theta=310-270=40[/tex] degree.

Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},

[tex]d= \sqrt{|\vec{d_1}|^2+|\vec{d_2}|^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\theta} \\\\\Rightarrow d=\sqrt{610^2+1830^2+2|\vec{d_1}|\;|\vec{d_2}|\cos\(40^{\circ})}[/tex]

[tex]\Rightarrow d=2330.51[/tex] miles

Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.

9514 1404 393

Answer:

  2.4 inches

Step-by-step explanation:

A yard is 36 inches, so 2/3 yard is (2/3)(36) = 24 inches.

Each piece will be 1/10 of that length, so will be 24/10 = 2.4 inches.

Each piece will be 2.4 inches long.