Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?

Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:

cot(θ) = cos(θ)/sin(θ) > 0   ===>   sin(θ) > 0

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Multiplying both sides by 1/sin²(θ) yields another form of the identity,

sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)

1 + cot²(θ) = csc²(θ)

so that

csc(θ) = + √(1 + cot²(θ))

csc(θ) = √(1 + (3/2)²)

csc(θ) = √13/2

By definition of cosecant, we have

csc(θ) = 1/sin(θ)

so that

sin(θ) = 2/√13

Then using the Pythagorean identity once more, we have

cos(θ) = + √(1 - sin²(θ))

cos(θ) = √(1 - (2/√13)²)

cos(θ) = 3/√13

so that, by definition of secant,

sec(θ) = 1/cos(θ)

sec(θ) = √13/3

Answer:

- sin (x)

Step-by-step explanation:

hope this helps :)

Answer:  tan(-x) cos(-x) = -sin(x)

Step By Step Explanation:

tan(-x) cos(-x)

Use the negative angle Identity to get:

Cos (x) (-tan(x))

Remove the parenthesis to get:

-Cos (x) tan (x)

Express with sin,cos to get:

-sin(x)

I got my explanation from www.symbolab.com

https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input

,  Hope this Helps :)

Have a great day!!

Answer:

x=0

Step-by-step explanation:

2^2 + x - 4 = 0

2^2 = 4

4+x-4 = 0

Combine like terms

x=0

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

Answer:

A= 5.6 x 5.6 = 31.36

P= 5.6 × 4 = 22.4

Step-by-step explanation:

to find the area of a square, just take the length of 1 side and square it (A= length^ 2)

to find the perimeter of a square multiply length by 4 sides.

*these formulas only hold true for squares bc the length of each side is the same.

im pretty sure that the slope for both lines would be 2

Answer:

el equivalente a 23.79 no daré explicación

Answer:

0

Step-by-step explanation:

If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.

Answer:

9.00 and 2.00

Step-by-step explanation:

8.90 rounds to  9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50

Answer:

i think it is b

Step-by-step explanation:

Answer:

35.85%

Step-by-step explanation:

first, find the difference between the real value and the estimated value:

365.99 - 234.78 = 131.21

now divide the difference by the real value:

131.21 / 365.99 = 0.358507

now multiply 0.358507 by 100 to get a percentage, then round to 2 decimals:

35.85%

The area of the given figure that is mentioned is 64.

A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.

Let a represent the square's side length. The area of the square will be calculated as:

Area of the square = a² square units

The side provided is 8 ft

The area will be

= a²

= 8²

=64

More about the area of the square here,

https://brainly.com/question/1658516

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The Graphs are in attachment !

1st graph is for equation :

2nd graph is for equation :

Given system of inequalities:-

[tex]y = \frac{2}{3}x - 3[/tex]

and

[tex]y = \frac{ - 4}{3}x + 3[/tex]

So, the graph for the given system of inequalities is attached along with this answer.

Please refer the attachment for the graph.

✍️ By Benjemin ☺️

Answer:

C -2

Step-by-step explanation:

it's -2 since lxl = -2 or 2

Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

Answer:

When you multiply two imaginary numbers, you are essentially multiplying them by itself or squaring them. If we recall, an imaginary number is the square root of -1. By squaring this number, you're eliminating the square root, ending up with -1 (aka a real number).

Answer:

ST = 2x

Step-by-step explanation:

if not please elaborate on the question.

Answer:

ind the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )

to find the line parallel to  x + 4y = 28 .

Step-by-step explanation:

Answer:

[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]

Answer:

The result can be shown in multiple forms.

Inequality Form:

−12< x < 7

Interval Notation:

(−12,7)

Step-by-step explanation:

first write |2x+5|<19 as a piece wise

2x+5≥0

To find the interval for the first piece, find where the inside of the absolute value is non-negative.

[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide

x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2

x ≥ −5/2.

To find the interval for the second piece, find where the inside of the absolute value is negative.

2x+5 < 0

substract by 5

2x < −5

divide by 2x

2x/2< −5/2

simplify to left side

x < −5 / 2

Simplify the right side.

x <  −5/2

In the piece where 2x+5 is negative, remove the absolute value and multiply by −1

− (2x+5) < 19

Write as a piecewise.

{2x+5 <19           x ≥ − 5/2

− (2x+5) < 19      x <− 5/2

Simplify −(2x+5)<19.

{2x+5<19       x≥−5/2

−2x−5<19      x<−5/2

Solve 2x+5 < 19 when x ≥ −5/2.

2x+5<19 for x.

Move all terms not containing x to the right side of the inequality.

2x < 14

divide by 2

x < 7

Find the intersection of x < 7 and x ≥−5/2.

−5/2 ≤x <7

Solve −2x−5 <19 when x <−5/2.

Move all terms not containing x to the right side of the inequality.

−2x<24

divide by -2

x>−12

Find the intersection of x > −12 and x <−5/2.

Find the union of the solutions.

−12 < x < 7

Answer:

[tex]$4.\overline{54}[/tex]

Step-by-step explanation:

The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].

So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.

Answer:

Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.

Number 2: 45 percent of 155 is 69.75.

Number 3: 137 is what percent of 153? = 89.54

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

Answer:

As shown in the attachment,

Step-by-step explanation:

refer to the attachment

[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]

[tex]\\ \sf\longmapsto -44[/tex]

Step-by-step explanation:

(-9)^2(2.7)-3/10(-2/5

= 81(2.7)-3/-2(2)

= 218.7-3/-4

= 215.7/-4

= -44

Step-by-step explanation:

→ 6(8p - 7)

→ 48p - 42 ← ans.

hope this answer helps you dear take care and may u have a great day ahead!

Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:

Learn more in https://brainly.com/question/1590463