What is the area of the rectangle?

Step-by-step explanation:

sin 2b = -.5

2b =-30°

b = -15°

cot ^2(3π/4 +15)

=cot^2(3π/4+ π/12)

=cot ^2(10π/12)

=cot^2(150°)

=2.99

Answer:

-2.964

Step-by-step explanation:

Answer:

2x+4 or 2(x+2)

Step-by-step explanation:

I'm not very confident that I can give you a clear explanation while typing, but you can factor the equation which is one way how to do this.

2x^2 + 10x+12 = 2(x^2+5x+6)

                       = 2(x(x+3) + 2(x+3))

                       = 2(x+3)(x+2)

With that answer, you divide it by x+3 and get 2(x+2) or 2x+4

Answer:

34 degrees

Step-by-step explanation:

sin(x) = opp/hyp = 9/16

So, x = 34.22 degrees

After rounding to the nearest degree, x = 34 degrees

Answer:

They scored 66 points

Step-by-step explanation:

Sally scored 45% out of the 100%

And there are 120 points in all.

To find the rest of the teams points you have to subtract Sally's points:

100% - 45% = 55

So to find this out you solve for x (points):

55/100 = x/120

100x = 6,600

100x = 6,600

100         100

x = 66

Step-by-step explanation:

Answer:

y=x-1

Step-by-step explanation:

Do the math. Just plug in x and y trust me it’s easy

Answer: y= x-1

Step-by-step explanation: y is always x minus 1 because -4 is one less than -3, 1 is one less than 2, and 4 is one less than 5.

Answer:

7.21 units

Step-by-step explanation:

Given points are: (-6, 6) and (-10, 0)

[tex]distance = \sqrt{ {( - 6 + 10)}^{2} + {(6 - 0)}^{2} } \\ \\ = \sqrt{ {(4)}^{2} + {(6)}^{2} } \\ \\ = \sqrt{ 16 + 36 } \\ \\ = \sqrt{ 52 } \\ \\ = 7.21 \: units[/tex]

Check the picture below.

»(4x - 2y)(3x + 5y)

»4x(3x + 5y) + (-2y)(3x + 5y)

»12x² + 15xy - 6xy - 10y²

»12x² + 9xy - 10y²

so, ABC is :

The equation that represents the linear function is y = 2x.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let us assume that from the table, we get the data with points (0, 0) and (2, 4). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{4-0}{2-0} (x-0)\\\\y=2x[/tex]

The equation that represents the linear function is y = 2x.

Find out more on Linear equation at: https://brainly.com/question/13763238

Answer:

Step-by-step explanation:

answer is -10

Answer:

The answer is A)

Step-by-step explanation:

If we take it from the bottom left corner which it wants us to. We get the point (4,-6) if you move it 8 left and 7 up you get the new point (-4,1) Which ends up putting figure 1 inside of figure 2.

Hope this helped.

A brainliest is always appreciated

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Learn more about logical reasoning at: https://brainly.com/question/25175983

(

x

)

=

x

3

+

2

x

2

−

3

x

Explanation:

given zeros

x

=

−

3

,

x

=

0

,

x

=

1

then factors are

(

x

+

3

)

,

(

x

−

0

)

,

(

x

−

1

)

⇒

f

(

x

)

=

x

(

x

+

3

)

(

x

−

1

)

⇒

f

(

x

)

=

x

(

x

2

+

2

x

−

3

)

⇒

f

(

x

)

=

x

3

+

2

x

2

−

3

x

is a possible function

graph{x^3+2x^2-3x [-10, 10, -5, 5]}

Answer:

7 1/7

Step-by-step explanation:

24 hours  = 1 day

7 days = 1 week

⇒ number of hours in 1 week = 24 x 7 = 168

⇒ number of weeks in 1200 hrs = 1200 ÷ 168 = 7 1/7

Answer:

we can do it again and again and again and again and again and again and again and again and again on Monday morning baby I'm a fan for the rest are the only way we do to help me to get to see this

Using the z-distribution, as we are working with a proportion, it is found that:

A. Yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.

B. Considering that the data provides statistical evidence, the conclusion was appropriate.

At the null hypothesis, it is tested if the proportions are the same, that is:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, it is tested proportion A is less than proportion B, that is:

[tex]H_1: p_A - p_B < 0[/tex]

For each sample, they are given by:

[tex]p_A = \frac{458}{9250} = 0.0495, s_A = \sqrt{\frac{0.0495(0.9505)}{9250}} = 0.0023[/tex]

[tex]p_B = \frac{543}{9250} = 0.0587, s_B = \sqrt{\frac{0.0587(0.9413)}{9250}} = 0.0024[/tex]

Hence, for the distribution of differences, we have that:

[tex]\overline{p} = p_A - p_B = 0.0495 - 0.0587 = -0.0092[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0023^2 + 0.0024^2} = 0.0033[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{-0.0092 - 0}{0.0033}[/tex]

[tex]z = -2.77[/tex]

Item a:

Considering a left-tailed test, as we are testing if the proportion is less than a value, with the standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value, it is found that yes, the data provides convincing statistical evidence that Swedish men who would be classified into group A have a lower probability of stroke than Swedish men who would be classified into group B.

Item b:

Considering that the data provides statistical evidence, the conclusion was appropriate.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Taking into account the definition of a system of linear equations, the solution t=14 represents a viable time that the trains are side by side.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

The system of equations to be solved is

[tex]\left \{ {{y=14t^{2} } \atop {y=96t+1400}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the first equation in the second you get:

14t²= 96t +1400

Solving:

14t²- 96t -1400=  0

Being this a quadratic function of the form ax² + by +c, then it can be solved by: [tex]x1,x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]

In this case, being a=14, b=-96 and c=-1400, the equation is solved by:

[tex]t1=\frac{-(-96)+\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}[/tex]

[tex]t1=\frac{96+\sqrt{9216 +78400} }{28}[/tex]

[tex]t1=\frac{96+\sqrt{87616} }{28}[/tex]

[tex]t1=\frac{96+296}{28}[/tex]

[tex]t1=\frac{392}{28}[/tex]

t1=14

and

[tex]t2=\frac{-(-96)-\sqrt{(-96)^{2} -4x14x(-1400)} }{2x14}[/tex]

[tex]t2=\frac{96-\sqrt{9216 +78400} }{28}[/tex]

[tex]t2=\frac{96-\sqrt{87616} }{28}[/tex]

[tex]t2=\frac{96-296}{28}[/tex]

[tex]t2=\frac{-200}{28}[/tex]

t2= -7.14

Since time cannot be a negative value, the solution t=14 represents a viable time that the trains are side by side.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

Answer:

43 cm!

Step-by-step explanation:

First, C = 86π

So, 86 × 3.14 (which is π) = 270.04

270 ÷ 3.14 = 86

86 ÷ 2 = 43

i hope this helps :)

Answer:

it is so hard it's optional math bro I tried much

Step-by-step explanation:

hope others can give answers

Answer:

All of them except A

B: 10 meters in 4 seconds

C: 7.5 meters in 3 seconds

D: 5 meters in 2 seconds

Step-by-step explanation:

divided the number meters by the number seconds to get meters per second

Answer:

18 cats.

Step-by-step explanation:

5 divided by 2 is 2.5. 45 multiplied by 2.5 is 18. This is the right answer, I double checked it.

Answer:

we need the figure, where is it

Answer:

y-intercept mean the line going through

Step-by-step explanation:

it means the line going threw

Answer:

52

Step-by-step explanation:

answer = fifty two

x = 52

Answer:

X+90+90+128=360(total sum of quadrilateral)

X+180+128=360

X+308=360

X=360-308

X=52

Answer:

{x,y}={-4,-1}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 3x = 4y - 8

[2] x = 4y/3 - 8/3

// Plug this in for variable x in equation [1]

[1] 2•(4y/3-8/3) + 5y = -13

[1] 23y/3 = -23/3

[1] 23y = -23

// Solve equation [1] for the variable y

[1] 23y = - 23

[1] y = - 1

// By now we know this much :

x = 4y/3-8/3

y = -1

// Use the y value to solve for x

x = (4/3)(-1)-8/3 = -4

Solution :

{x,y} = {-4,-1}

Answer:

-3/5

Step-by-step explanation:

I used the KCF, or keep, change, flip, method for this.

The original problem is -2/5 divided by -2/3

We keep the first fraction - -2/5

change the sign to multiplication

and flip the second fraction - 3/2

so, -2/5 x 3/2

and then check for where we can simplify, we can in this instance:

-1/5 x 3/1

and then multiply across

-3/5

Answer:

pick all 3 of the bottom row