1/4 divided by 2= because x2=1/4​

Answer:

-0.993

Step-by-step explanation:

ADD 3 and DIVIDE by -2 to get the natural log expression by itself on the left.

Then convert to an exponential equation. Ln means that the base is e (e is a special number,but in fact, just a number)

e^(-5) -1 can be calculated on a calculator. There is usually an e^x button, then enter -5 exponent. Lastly subtract one.

x = -0.993

See image

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The required result is ~

[tex] \sf\frac{ \tan(a) }{1 - \cot(a) } + \frac{ \cot(a) }{1 - \tan(a) } = \sec(a) \csc(a) + 1 \\[/tex]

Refer to the attachment for solution !

The trigonometry identity [tex]\frac{ \tan(a) }{1 - \cot(a) } + \frac{ \cot(a) }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex] is true

The trigonometry identity is given as:

[tex]\frac{ \tan(a) }{1 - \cot(a) } + \frac{ \cot(a) }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex]

Express cot(a) as 1/tan(a)

[tex]\frac{ \tan(a) }{1 - \frac{1}{\tan(a)} } + \frac{ \frac{1}{\tan(a)} }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex]

Take LCM

[tex]\frac{ \tan(a) }{ \frac{\tan(a) - 1}{\tan(a)} } + \frac{ \frac{1}{\tan(a)} }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex]

Simplify the expression

[tex]\frac{ \tan^2(a) }{\tan(a) - 1 } + \frac{ \frac{1}{\tan(a)} }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex]

Further, simplify

[tex]\frac{ \tan^2(a) }{\tan(a) - 1 } + \frac{1}{\tan(a)(1 - \tan(a)} = \sec(a) \csc(a) + 1[/tex]

Rewrite as:

[tex]\frac{ \tan^2(a) }{\tan(a) - 1 } - \frac{1}{\tan(a)(\tan(a) -1) } = \sec(a) \csc(a) + 1[/tex]

Take LCM

[tex]\frac{\tan^3(a) - 1}{\tan(a)(\tan(a) -1) } = \sec(a) \csc(a) + 1[/tex]

Expand the numerator

[tex]\frac{(\tan(a) - 1)(\tan^2(a) + \tan(a) + 1)}{\tan(a)(\tan(a) -1) } = \sec(a) \csc(a) + 1[/tex]

Cancel out the common factors

[tex]\frac{\tan^2(a) + \tan(a) + 1}{\tan(a) } = \sec(a) \csc(a) + 1[/tex]

Simplify

[tex]\tan(a) + 1 + \cot(a) = \sec(a) \csc(a) + 1[/tex]

Rewrite as:

[tex]\tan(a) + \cot(a)+ 1 = \sec(a) \csc(a) + 1[/tex]

Rewrite as:

[tex]\frac{\sin(a)}{\cos(a)} + \frac{\cos(a)}{\sin(a)}+ 1 = \sec(a) \csc(a) + 1[/tex]

Take LCM

[tex]\frac{\sin^2(a)+\cos^2(a)}{\cos(a)\sin(a)}+ 1 = \sec(a) \csc(a) + 1[/tex]

Express the numerator as 1

[tex]\frac{1}{\cos(a)\sin(a)}+ 1 = \sec(a) \csc(a) + 1[/tex]

Simplify

[tex]\sec(a) \csc(a) + 1 = \sec(a) \csc(a) + 1[/tex]

Hence, the trigonometry identity [tex]\frac{ \tan(a) }{1 - \cot(a) } + \frac{ \cot(a) }{1 - \tan(a) } = \sec(a) \csc(a) + 1[/tex] has been proved

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Answer:

Mason saves $225 per month, and Esteban saves $260.

Answer:

mason saves $225 per month, and esteban saves $260.

Answer:

  11 mm

Step-by-step explanation:

Put the given numbers in the given formula and solve for the radius.

  V = 1/3πr²h

  968π = 1/3π·r²·24

  121 = r² . . . . . . . . . . . divide by 8π

  r = √121 = 11 . . . . . . take the square root

The radius of the piece is 11 mm.

Explanation:

The adjacent angles of a parallelogram always add to 180

D+E = 180

(9x+15)+(6x) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

Then we use this to find angle D

D = 9x+15 = 9*11+15 = 99+15 = 114

note that

E = 6x = 6*11 = 66

and

D+E = 114+66 = 180

to help confirm our answer.

Answer:

114

Angles in Quadrilateral adds to 360

2 x (9x+15) + 2 x (6x) = 360

18x + 30 +12x =360

30x + 30 = 360

-30

30x =330

÷30

x=11

Substitute value of x into Angle D

9x+15 will be 9 x 11 + 15 = 114

Thus, the answer is 114

Hope this helps!

Answer:

the answer is B.Inverse

Answer:

1/72

Step-by-step explanation:

1/9/8/1=1/9x1/8=1/72

Step-by-step explanation:

are you having problems with something if so message this guy

Answer:

$147.01

Step-by-step explanation:

$58.64 - $32.50 is $26.14

$26.14 + 46.25 is $72.39

$72.39 - ($16.04+$7.50) is $48.85

Lastly, 48.85 + $98.16 = $147.01

Based on the rate of increase, the number of employees that will be there in 2016 is 21,927 people.

This can be calculated by the formula:

= Employees in 2009 x ( 1 + rate of increase)

Solving gives

= 19,100 x (1 + 14.8%)

= 21,926.8

= 21,927 people

In conclusion, there will be 21,927 people in 2016.

Find out more on rates of increase at https://brainly.com/question/3040628.

Answer:

9 ft !!!!

Step-by-step explanation:

trust man its bc 4ft + 5ft equals the base

Triangle A- Obtuse, it has an angle over 90 degrees.

Triangle B- Acute, all of its angles are under 90 degrees.

Triangle C- Right, it has a 90 degree angle.

Triangle D- Obtuse, it has an angle over 90 degrees.

Answer:

Triangle A: Obtuse

Triangle B: Acute

Triangle C: Right

Triangle D: Obtuse

Step-by-step explanation:

Answer:

10% of 45 is 4.5

30% of 45 is 13.5

Step-by-step explanation:

10% of 45 is 4.5 because you can multiply 4.5 10 times to get 45. Because 30% is 3 times the amount as 10%, you can multiply 4.5 x 3 to get 13.5

The accurate answer to the list of percentages given is you can multiply 4.5 x 3 to get 13.5.

This refers to the unit that is used to represent a whole and is denoted with the % sign and is a total over 100.

Hence, because

If we expand, we would see that 10% of 45 is 4.5, 30% of 45 is 13.5 and because 30% is x3 the amount of 10%, you can multiply 4.5 x 3 to get 13.5

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Answer:

the answer is 14.48

Step-by-step explanation:

i did the quiz! k12 hope this works

Answer:

$14.48

Step-by-step explanation:

cost x rate (as a decimal) plus the cost = total amount

(13.60 x 0.065) + 13.60 = 14.484 which rounds to $14.84

Answer:

Melissaneed need 890.5 ft² of sod.

Step-by-step explanation:

total area: ( 24.5 * 18 ) + ( 18.5 * 14.5) + ( 12.5 * 14.5)

               : 890.5 ft² of sod

Mia won 26 games and Leah won 16 games

From the given information

Since the Mia and Leah played a total of 45 games, then;

x + x - 7 = 45

2x = 52

x = 26

Mia won 26 games and Leah won 16 games

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Answer:

190 cm²

Step-by-step explanation:

Use the area of a trapezium formula: [tex]\frac{1}{2} (a+b)h[/tex]

where a and b are the top and bottom bases, and h is the height.

Therefore,

area = [tex]\frac{1}{2}\times (12+26)\times10[/tex] = 190 cm²

Answer:

35

Step-by-step explanation:

[tex]5(3+4)\\\\5(7)\\\\35[/tex]

Hope it will help you.

Answer:

multiple 5 from 3 that answer you will add from 4

Step-by-step explanation:

3.5 hours for 1 cake means 3.5 hours per cake.

similar : 2 hours for 1 pie means 2 hours per pie.

so, if there are e.g. 3 pies, they take 3×2 = 6 hours.

therefore the general constraint is

3.5x1 + 2x2 <= 70

I think the names "x1" and "x2" are confusing when writing this inequality.

I prefer to use x and y.

and then it would look like

3.5x + 2y <= 70

Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

14.

There are twice as many flute players as there are trumpet players, so f = 2 × 5

15.

Let the cost of 1 tickets = be x then the equation of total cost is:

8 × x = 208

Solve for x:

x = 208/8

x = 26

Each ticket costs $26.

16.

Let the low temperature be x then the equation for high temperature is:

x + 24 = 92

Solve for x:

x = 92 – 24

Evaluate:

x = 68

The low temperature was 68°F.

17. A number is checked if it is a solution of an equation or not by substituting its value in the equation and simplifying it. If the left and right hand side of the equation are equal then the number is a solution of the equation otherwise not.

Step-by-step explanation:

Answer:

It is not

Step-by-step explanation:

A correlation can range from -1, to 1. A -62 is a moderate negative relationship, and .52 is moderate positive, but is closer to being a weaker relationship.

Answer:

(5, 12, 13)

Step-by-step explanation:

5^2+12^2=25+144=169=13^2

5^2+12^2=13^2

The volume of the solid of revolution is approximately 37439.394 cubic units.

Let be [tex]f(x) = e^{\frac{x}{6} }[/tex] and [tex]g(x) = e^{\frac{35}{6} }[/tex], whose points of intersection are [tex](x_{1},y_{1}) =(0,1)[/tex], [tex](x_{2}, y_{2}) = (35, e^{35/6})[/tex], respectively. The formula for the solid of revolution generated about the y-axis is:

[tex]V = \pi \int\limits^{e^{35/6}}_{1} {f(y)} \, dy[/tex] (1)

Now we proceed to solve the integral: [tex]f(y) = 6\cdot \ln y[/tex]

[tex]V = \pi \int\limits^{e^{35/6}}_{1} {6\cdot \ln y} \, dy[/tex] (2)

[tex]V = 6\pi \int\limits^{e^{35/6}}_{1} {\ln y} \, dy[/tex]

[tex]V = 6\pi \left[(y-1)\cdot \ln y\right]\right|_{1}^{e^{35/6}}[/tex]

[tex]V = 6\pi \cdot \left[(e^{35/6}-1)\cdot \left(\frac{35}{6} \right)-(1-1)\cdot 0\right][/tex]

[tex]V = 35\pi\cdot (e^{35/6}-1)[/tex]

[tex]V \approx 37439.392[/tex]

The volume of the solid of revolution is approximately 37439.394 cubic units. [tex]\blacksquare[/tex]

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Answer:

The answer is C.

Answer:  B)  1/2

How to get that answer:

The larger triangle (preimage) has its vertical side of 6 units.

For the smaller triangle (image), the vertical side is 3 units.

The scale factor is image/preimage = 3/6 = 1/2

Meaning that the smaller triangle's side lengths are 1/2 of the larger triangle's side lengths.

You can use this trick to compare the horizontal sides as well.

Answer:

$4 a ounce

Step-by-step explanation:

10 x 32 = 320/80.00=4

Answer:

Eat cheese

Step-by-step explanation:

Go to store, buy cheese, pay at checkout, come home, get cheese, eat cheese. IT'S THAT EASY!!!!