If cosθ=-3/4 and tanθ is negative find sinθ

Answer:

bii) \( \frac{3118x^{2} }{1225} cm^{2} \)

Please see the attached pictures.

*x represents the estimated distance on Map A

Answer:

L = 15 and W = 15. Hence, the dimensions of the rectangle with the smallest perimeter and area of 225 sq.ft. are 15 ft x 15 ft (i.e. a square).

Step-by-step explanation:

Let's assume the length of the rectangle is L and the width is W. The area of the rectangle is given as 225 sq.ft. Therefore, we have:

L x W = 225

The perimeter of the rectangle is given by:

2L + 2W

We need to find the dimensions of the rectangle that will give the smallest possible perimeter. To do this, we need to minimize the expression for the perimeter subject to the constraint that the area is 225 sq.ft. We can use the method of Lagrange multipliers to solve this problem.

Let f(L, W) = 2L + 2W be the expression for the perimeter and g(L, W) = L x W - 225 be the expression for the area. We want to minimize f(L, W) subject to the constraint g(L, W) = 0.

The Lagrange function is given by:

L(L, W, λ) = f(L, W) - λg(L, W)

= 2L + 2W - λ(LW - 225)

Taking partial derivatives and setting them equal to zero, we get:

∂L/∂λ = W = 0

∂W/∂λ = L = 0

∂L/∂λ = -λW = 0

∂W/∂λ = -λL = 0

∂L/∂λ = 2 - Wλ = 0

∂W/∂λ = 2 - Lλ = 0

Solving these equations, we get:

λ = 2/L = 2/W

Substituting λ in the expression for the area, we get:

L^2 = 225

Therefore, L = 15 and W = 15. Hence, the dimensions of the rectangle with the smallest perimeter and area of 225 sq.ft. are 15 ft x 15 ft (i.e. a square).

Answer:

width = 15 ft

length = 15 ft

Step-by-step explanation:

Let x = length and y = width.

area = length × width

A = xy

perimeter = 2(length + width)

P = 2(x + y)

P = 2x + 2y

A = 225

xy = 225

y = 225/x

P = 2x + 2(225/y)

P = 2x + 450/x

P = 2x + 450x^-1

dP/dx = 2 + 450(-1)(x^-2)

dP/dx = 2 - 450/x²

2 - 450/x² = 0

2x² - 450 = 0

x² - 225 = 0

x = ±√225

x = ±15

Discard x = -15.

width = 15 ft

length = 15 ft

Answer:

C

Step-by-step explanation:

ΔJKL consist of 3 angles: ∠mLJK, ∠mKLJ and ∠mJKL

We are given the measures of ∠mLJK and ∠mKLJ

In order to find ∠mJKH we must find the missing angle in the triangle

Remember that angles in a triangle add up to equal 180

If we are given two angles we can find the missing angle by subtracting the measures of the known angles from 180

so ∠mJKL = 180 - 37 - 69

180 - 37 - 69 = 74

Hence, ∠mJKL = 74°

Now to find ∠mJKH

Angles ∠K, ∠mJKH and ∠mJKL appear to be formed on a straight line

Angles formed on a straight line add up to equal to 180

So ∠K + ∠mJKH  + ∠mJKL = 180 ( note that this is the equation that will be used to solve for ∠mJKH )

∠K is a right angle, indicated by the little square.

Right angles have a measure of 90° so ∠K = 90

We have also calculated the measure of ∠mJKH = ( 74° )

That being said we plug in the given values into the equation created earlier and solve for ∠mJKH

We would have 90 + ∠mJKH + 74 = 180

Now we solve for ∠mJKH

step 1: combine like terms

90 + 74 = 164

now we have 164 + ∠mJKH = 180

step 2 subtract 164 from each side

180 - 164 = 16

164 - 164 cancels out

we're left with ∠mJKH = 16

Hence the answer is C

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

False. The vertices of the feasible region may or may not contain the optimal solution of a linear programming problem. The optimal solution is always found at a corner point of the feasible region, which can be a vertex or a point on one of the edges of the region.

The feasible region is the set of all possible solutions that satisfy the constraints of the linear programming problem. It is a polygonal region bounded by linear equations or inequalities.

To find the optimal solution, the objective function is evaluated at each corner point of the feasible region, and the highest or lowest value is selected depending on whether the problem is a maximization or minimization problem. Therefore, the vertices of the feasible region are important to determine the optimal solution, but they may not always provide the optimal solution.

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Answer: 8pi > 24

Step-by-step explanation:

A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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Step-by-step explanation:

2 things to remember for problems like this :

the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.

so, now for the given problems :

4.

x/sin(90) = 12/sin(29)

x/1 = x = 12/sin(29) = 24.75198408...

rounded x = 24.8

5.

the opposite angle of x is

180 - 90 - 16 = 74 degrees.

x/sin(74) = 37/sin(90) = 37

x = 37×sin(74) = 35.56668275...

rounded x = 35.6

6.

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 22/sin(58)

x = 22×sin(32)/sin(58) = 13.74712574...

rounded x = 13.7

7.

the opposite angle of 15 is

180 - 90 - 51 = 39 degrees.

x/sin(51) = 15/sin(39)

x = 15×sin(51)/sin(39) = 18.52345735...

rounded x = 18.5

Answer:

The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.

Step-by-step explanation:

There are mistakes in the statement, correct form is presented below:

\(5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}\).

By direct comparison we have the following system of equations:

\(a = 5\) (1)

\(\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}\) (2)

In (2) we solve for \(b\):

\(\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}\)

\(b = -\frac{15}{7}\)

The values of \(a\) and \(b\) are \(5\) and \(-\frac{15}{7}\), respectively.

Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

The x-component of the net electric field at the origin can be found by considering the individual electric fields produced by the charges and their contributions in the x-direction.

To calculate the x-component, we need to determine the electric field contributions from each charge and then sum them up.

1. Identify the charges: Determine the positions and magnitudes of all charges involved.

2. Calculate the electric field contribution: For each charge, use Coulomb's law to calculate the electric field it produces at the origin. The electric field due to a point charge Q at a distance r from it is given by E = kQ/r^2, where k is the electrostatic constant.

3. Consider the direction: The electric field produced by each charge will have a direction. Since we are interested in the x-component, consider only the x-components of the electric fields for each charge.

4. Sum up the contributions: Add up all the x-components of the electric fields produced by the charges. The resulting sum will give you the x-component of the net electric field at the origin.

It is important to note that if any charges have the same sign, their contributions to the x-component of the net electric field will have the same sign. If any charges have opposite signs, their contributions will have opposite signs.

Remember to consider both positive and negative charges, as well as their distances from the origin, to determine the magnitude and direction of the x-component of the net electric field.This process allows you to find the x-component of the net electric field at the origin. By following these steps, you can determine the electric field strength in the x-direction at the origin due to the charges present.

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Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

Answer :

\(\frac{79}{10}\)

Answer:

The answer is 79 over 10!

Also, Broccoli boi is cool

Answer:

the answer is b

Answer: 250 degrees

Step-by-step explanation:

Answer:

\(x=\frac{1}{7}\)

15(1/7)+5= 7.14 (rounded o the nearest hundredths)

I hope this is good enough:

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

9x² - 4 = (3x)² - 2²

            = (3x + 2 )(3x - 2)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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There are 191 different patterns of mail delivery possible for the 19 houses on the northern side of the street, satisfying the given conditions.

To determine the number of different patterns of mail delivery in this scenario, we can use a combinatorial approach.

Let's consider the possible patterns based on the number of houses in a row that receive mail on the same day: If no houses in a row receive mail on the same day: In this case, all 19 houses would receive mail on different days. We have a single pattern for this scenario.

If one house in a row receives mail on the same day: We have 19 houses, and we can choose one house in a row that receives mail on the same day in 19 different ways. The remaining 18 houses would receive mail on different days. So, we have 19 possible patterns for this scenario.

If two houses in a row receive mail on the same day: We have 19 houses, and we can choose two houses in a row that receive mail on the same day in C(19, 2) = 19! / (2! * (19-2)!) = 171 different ways. The remaining 17 houses would receive mail on different days. So, we have 171 possible patterns for this scenario.

Therefore, the total number of different patterns of mail delivery in this scenario is: 1 (no houses in a row) + 19 (one house in a row) + 171 (two houses in a row) = 191 different patterns.

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Answer:

Step-by-step explanation:

\(\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}\)

\(\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}\)

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

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Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Hey there!

In order to answer this question you need to substitute the "y-value"

As you can see, y=8 and we need to put 8 where there is y

8-3+2 is what the equation will look like

Now we can simplify

8-3 is 5 and 5+2 is 7

So your answer is 7

Answer: equation is (y5+g(x)

Step-by-step explanation: Percent change = 56 - 32 |32| × 100% = 24 32 × 100 = 75% (increase). Where: 32 is the old value and 56 is the new value. In this case we have a positive

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

The angle is approximately 111.199 degrees.

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

The hypotenuse is the longest side of the triangle.  

In this cos the hypoteneuse is a. However, we can only use cos on right triangles and on the angles that are not 90 degrees. In this case, p would be the 90 degree angle if we could use cosine.

In this case, you need the law of cosines, not cosine. The law of cosine says \(c=\sqrt{a^2+b^2-2 a b cosp}\) where c is the side opposite to the angle, a and b are the sides adjacent to the angle, and p is the angle. The law of cosine works for all the triangles.

Plugging in the numbers:

\(5.3=\sqrt{3.6^2+2.8^2-2*3.6*2.8* cosp}\\5.3^2=20.8-20.16* cosp}\\7.29=-20.16*cosp\\cos^{-1}\frac{7.29}{ -20.16}=p\\p=111.198929\)

Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

Answer:

c = 16

Step-by-step explanation:

We have (a + b)² = a² + 2ab + b²

x² + 8x + c is of the form a² + 2ab + b²

where x² = a²

8x = 2ab

and c = b²

⇒ x² + 8x + c = (x + √c)² which is a perfect square

x² = a² ⇒ x = a

8x = 2ab

⇒ 8x = 2xb

⇒ b = 8x/(2x)

⇒ b = 4

c = b²

⇒ c = 4²

⇒ c = 16

(x + √c)² = (x + √16)²

= (x + 4)²

= x² + 2(x)(4) + 4²

= x² + 8x + 16

Therefore, c = 16 makes the expression a perfect square

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

the measure of ∠A. is 87∘

Step-by-step explanation:

Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.

_________________________________________________

Given

∠A=(4x−30) ∘

∠B=(4x−14) ∘

Fir angles to be supplementary

∠A + ∠B = 180

(4x−30) ∘ + (4x−14) ∘ = 180∘

(8x -54 )∘ = 180∘

=> 8x =  180∘ +  54∘= 234∘

=> x = 234∘/8 = 29.25∘

Thus,

∠A=(4x−30) ∘

∠A=(4*29.25−30) ∘ =( 117 - 30 ) ∘ = 87∘

Thus,

the measure of ∠A. is 87∘