A recipe for lemonade requires 10 parts of water to every 6 parts of lemon juice. How many cups of water should be added to 30 cups of lemon juice to make the lemonade? I dont understand how many "parts" of water = 1 cup

The exact value of cot A will be 0.857.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.

Then the value of angle A will be

csc A = √85 / 6

1 / cos A = √85 / 6

cos A = 6 / √85

A = 49.4°

Then the exact value of cot A will be

cot A = cot 49.4°

cot A = 0.857

The exact value of cot A will be 0.857.

More about the trigonometry link is given below.

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Answer:

I think the answer to your question is 12?

Step-by-step explanation:

I hope this helps, have a nice day

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Answer:

x = -6

Step-by-step explanation:

1/3(x-9)=2x+7

1/3x - 3 = 2x + 7

-5/3x = 10

x = -6

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Answer:

Volume of Cuboid = 72 cubic feet

Step-by-step explanation:

Using 1 cubic foot as standard

Given:

Length of given cuboid = 6 feet

Width of given cuboid = 3 foot

Height of given cuboid = 4 foot

Find:

Volume of Cuboid

Computation:

Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid

Volume of Cuboid = (6)(3)(4)

Volume of Cuboid = 72 cubic feet

Answer:

12 no .

x+2(4/5)=3(1/6)

x+5*2+4/5=6*3+1/6

x+14/5=19/6

5*x+14/5=19/6(do cross multiplication)

6(x+14)=19*5

6x+84=95

6x=95-84

x=11/6

Step-by-step explanation:

13 no

-0.4a+1.2=3.6

-0.4a=3.6-1.2

a=2.4/-0.4

a=-6

Answer:

A) .8 x.6 = .48

Step-by-step explanation:

B, C, and D are all answered incorrect

Step-by-step explanation:

would you still like me to help you with this question

Angle of depression of the slope is 24. degree.

Angle of depression is equal to the angle of elevation.

sine = the vertical drop/ the ski slope

sine = 100/250

      = 2/5 = 0.4.

sine - 1 (0.4) = 23.57 which is about 24 degree.

Therefore, the correct angle of depression of the slope is approximately 24 degree.

Learn more about   angle of depression here:

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Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Answer:

370

Step-by-step explanation:

Area of the entire thing is 20*20 = 400

You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)

Area of triangle:

First find the height using pythagorean theorem

5*12 = 156

Then divide by two: 60/2= 30

400-30 = 370

Answer:

Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)

Simplify (7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3

Move all terms not containing m to the right side of the equation.

ma^3=8a^3

Divide each term by a3 and simplify.

m=8

Step-by-step explanation:

Hope to help you

Answer:

3 and -2

Step-by-step explanation:

xy = -6

x + y = 1

let 'x' = y-1

y(y-1) = -6

y² - y + 6 = 0

(y-3)(y+2) = 0

y = 3 and -2

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:

hahahahahhahahahahahahah

Answer:

(x-5i)(x+5i)

Step-by-step explanation:

Given the expression

(x-5i)²

Expand

(x-5i)(x+5i)

= x² - 5ix + 5ix - 25i²

= x² - 25i²

Since i² = -1, hence;

(x-5i)(x+5i) = x² - 25(-1)

(x-5i)(x+5i) = x² + 25

Hence the required expression is (x-5i)(x+5i)

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume is length times width times height

V = l*w*h

V = 4*4*4

V = 64 cm^3

Answer:

64

Step-by-step explanation:

4x4x4=64

Answer:

[tex]MN = \sqrt{14[/tex]

Step-by-step explanation:

Given

[tex]NO = 12[/tex]

[tex]OP = 2.5[/tex]

[tex]OQ = 4.5[/tex]

Required

Find MN

First, we calculate QP using Pythagoras theorem

[tex]OQ^2 = OP^2 + QP^2[/tex]

[tex]4.5^2 = 2.5^2 + QP^2[/tex]

[tex]20.25 = 6.25 + QP^2[/tex]

Collect like terms

[tex]QP^2 = 20.25 - 6.25[/tex]

[tex]QP^2 = 14[/tex]

Take square roots

[tex]QP = \sqrt{14[/tex]

To solve MN, we have:

[tex]MN = OP[/tex]

So:

[tex]MN = \sqrt{14[/tex]

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

Answer:

Step-by-step explanation:

Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

Answer:

Subtract 1/3 from 2/3 dont forget to add the variable h!

1/3h + 11 = 8

-11            -11

1/3h = -3

Now we multiply by 3 on both sides

H = -9

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]

Answer:

It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.

Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.

Choice B would work, as it follows the definition of a Compound Sentence.

Choice C wouldn't work, that would be a Complex Sentence

Choice D wouldn't, that would be a Simple Sentence.

Also, note that this question is something for the Language Arts section.

Answer:

B. A sentence that includes two independent clauses connected by a conjunction.

Step-by-step explanation:

Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).

Example would be:

Juan likes to hunt, and he is going hunting on Sunday.

"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.

"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.

The conjunction "and" is used, and a comma is correctly placed before "and."

Answer:

8

Step-by-step explanation:

6g = 48

/6 /6

divide 6 by both sides

g = 8

hope this helped!

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.