Given that cos(θ)=−2√13/13, and θ is in Quadrant II, what is sin(θ)?

Report your answer as a rationalized fraction.

The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.

Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.

Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.

To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.

The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:

2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft

2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft

2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft

The volume of the original tank is then:

Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft

Now, the farmer plans to increase measurement  by 25%. To do this, we multiply each measurement by 1.25.

The dimensions of the larger tank would be:

Length = 14/5 ft x 1.25 = 3.5 ft

Width = 12/5 ft x 1.25 = 3 ft

Height = 5/2 ft x 1.25 = 3.125 ft

The volume of the larger tank is then:

Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft

To find the percentage increase, we can compare the two volumes:

Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100

Plugging in the values we found:

Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100

After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.

Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.

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Answer:

the answer is 100

Step-by-step explanation:

the number greater than 2 : 3,4,5,6

so 4/6 x 150 = 2/3 x 150 = 100

No the parents do not feel differently as they used to feel twenty years ago

Given :-

Po: p=0.46

Pa: p NE 0.46

alpha=0.01

Test statistic is one sample proportion \(z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}\)

Critical value z> |2.576|

z=0.025/0.0176

=1.418

This is a p-value of 0.078

Fail to reject Po  and insufficient evidence to support the claim that parents feel differently.

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Answer:

240

Step-by-step explanation:

2*8*3*5

Answer:

160

Step-by-step explanation:

a P e X

The measure of the angle y in the given figure where CDE is parallel to FG, ADG and BDF are straight lines is 74°.

Given that a figure with CDE is parallel to FG and ADG and BDF are straight lines.

We need to find the value of angle y.

So,∵ CDE║FG,

∴ ∠CDF = ∠DFG by alternate angles postulate.

∴ ∠CDF = 67°

Now,

∠CDF = ∠BDE by vertical angles postulate.

∴ ∠BDE = 67°

Also, ∠ADB = ∠FDG = y by vertical angles postulate.

We know that an angles measures 360° when it is complete, so, here,

∠CDF + ∠FDG + ∠GDE + ∠EDB + ∠ADB + ∠ADC = 360°

67° + y + 39° + 67° + y + 39° = 360°

2y + 134° + 78° = 360°

2y = 148°

y = 74°

Hence the measure of the angle y is 74°.

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Answer:

5.15m + 10.25 = 9.25m

Step-by-step explanation:

Tricia's savings can be calculated with her beginning amount, $10.25, plus a rate of $5.15 that is multiplied by the number of months she saves up, m.

Or, 10.25 + 5.15m.

Melanie saves $9.25 for her vacation, times the months that she saves up, m.

Or, 9.25m.

These two equations are equal to each other at a certain value of m, so our equation is-

5.15m + 10.25 = 9.25m

I hope this helps ^^ Good luck mate

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer: 1017.88

Step-by-step explanation:

Hope it is right

Answer:

Step-by-step explanation:

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Find The Hypotenuse of A

Tan(A) = Opposite / Adjacent

Tan(A) = 15/8

Opposite = 15

Adjacent = 8

Hypotenuse = c

c^2 = opposite^2 + Adjacent^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c^2 = 289

sqrt(c^2) = sqrt(289)

c = 17

Find the opposite of B

Adjacent = 12

Hypotenuse = 37

Opposite = b

adjacent^2 + opposite^2 = hypotenuse^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1335

b = 35

Definitions

Sin(A) = Opposite / hypotenuse = 15/17

Sin(B) = opposite / hypotenuse =  35/37

Cos(A) = 8/17

Cos(B) = 12/37

Answer

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Cos(A + B) = 8/17 * 12/37 - 15/17*35/37

Cos(A + B) = 96/629 - 525/629

Cos(A + B) = -429/629

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer:

The formula to find a triangle is (L+W)/2

Step-by-step explanation:

Answer:

find the given numbers on the number line

Step-by-step explanation:

If 3ml of water = 1 part milk

12ml of water = x

3x=12

3x/3=12/3

Cancelling out by 3

x=4

Therefore she will need 4 part milk to make the recipe.

Answer:

50

Step-by-step explanation:

if we sad the son is 10 years old so 40*10=40 this the mark age then and 10 his son age =50

Answer:

12(4+3)

Step-by-step explanation:

Answer: it's 39.

Step-by-step explanation: for this figure, you want to divide it into two parts:    The triangle and the rectangle.

The triangle has a base of 6, and a height of 3.

The formula for area of a triangle is 1/2 bh.

So the area of the triangle is 9!! 6 x 3 is 18.. divided by two is 9.

Then the rectangle, a= b(h)

the height is 6 while the base is 5.

When you multiply thsoe two you get 30.

Answer: At times when your not sure of what to do with a big set of measurements shown in a table, you can use a Histogram to arrange and display the data in a more user friendly and understandable format. It makes it easy to see where most of the values fall in a measurement scale, and how much difference there is.

Step-by-step explanation:

Answer:

The answer is the last one 5/12 > 3/8

Step-by-step explanation:

Convert the fractions to regular numbers so 5/12 just do 5 ÷ 12 and 3/8 do 3 ÷ 8 whatever side has the arrow opened to means that's should be the bigger number for example 2 > 1 is true because 2 is greater than 1 but 2 < 1 is false

Answer:

5/12>3/8

Step-by-step explanation:

you need a common denominator

you multiply 5/12 by 2 the top and the bottom to get 10/24

then you multiply 3/8 by 3 the top and the bottom to get 9/24

10/24>9/24

Answer:

those criteria define a square or a rhombus

Step-by-step explanation:

if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer:

Step-by-step explanation:

Answer:

Are m< 4 and m< 7 supplementary angles?

In that case the answer is m< 7=50 degrees.

Step-by-step explanation:

In that case...

m< 4+m< 7=180

130+m< 7=180

130-130+m< 7=180-130

m< 7=50 degrees

Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi

Answer:

Yes

Step-by-step explanation:

I graphed both of the equations on the graph below to show you that they intersect at the point (1,3), making it the solution to the system.

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Answer: Yes

Step-by-step explanation:

I HOPE IT'S HELP PLZ FOLLOWING ME

Answer:

b

Step-by-step explanation:

6-10 is -4 times 3 is -12

Answer:

C

Step-by-step

9 times -2 equals

-18 minus 6 equals

-12