answer the question on ixl I got

The required answer is ±12.316.

Given that 170cos(β) = -15

To solve the equation 170cos(β) + 15 = 0, we can isolate the cosine term:

170cos(β) = -15

Divide both sides of the equation by 170:

cos(β) = -15/170 cos(β) = -3/34

To find the value of sin(β), by using the Pythagorean identity:

sin^2(β) + cos^2(β) = 1

sin^2(β) = 1 - cos^2(β)

sin^2(β) = 1 - (-3/34)^2

sin^2(β) = 1 - 9/1156

sin^2(β) = (1156 - 9)/1156

sin^2(β) = 1147/1156

Taking the square root of both sides:

sin(β) = ±√(1147/1156) sin(β) ≈ ±0.996

Finally, to find tan(β), we can use the identity:

tan(β) = sin(β) / cos(β)

tan(β) ≈ (±0.996) / (-3/34)

tan(β) ≈ (±0.996) * (-34/3)

tan(β) ≈ ±11.32.

sin β + tan β =±12.316

Therefore, the required answer is ±12.316

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The required answer are :

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Given that, suppose one card is drawn at random from a standard deck.

To find the odds in favor of drawing a spade, we need to determine the number of favorable outcomes (spades) and the number of unfavorable outcomes (non-spades).

In a standard deck of 52 cards, there are 13 spades (A♠, 2♠, 3♠, ..., 10♠, J♠, Q♠, K♠) and 39 non-spades (all other cards).

The odds in favor of drawing a spade can be expressed as the ratio of favorable outcomes to unfavorable outcomes. Therefore, the odds in favor of drawing a spade are:

Favorable outcomes: 13 Unfavorable outcomes: 39

Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

(b) To find the odds against drawing a five, we need to determine the number of favorable outcomes (non-fives) and the number of unfavorable outcomes (fives).

In a standard deck of 52 cards, there are 48 non-fives (all cards except 5♠, 5♥, 5♦, and 5♣) and 4 fives (5♠, 5♥, 5♦, and 5♣).

The odds against drawing a five can be expressed as the ratio of unfavorable outcomes to favorable outcomes.

Therefore, the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Hence, the answer are:

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

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The value of the given expression is:

2⁴ + 2³ = 24

Remember that a power (exponent actually) tells us how many times we need to multiply the base by itself, so:

2 to the power of 4 is 2⁴ = 2*2*2*2 = 4*4 = 16

Similarly, for the other case we have:

2 to the power of 3 is 2³ = 2*2*2 = 4*2 = 8

Then we will get:

2 to the power of 4 + 2 to the power of 3

2⁴ + 2³

16 + 8 = 24

That is the value of the expression.

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The value of angle G in the triangle GHI is determined as 42⁰.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

The given triangle JKL and triangle GHI are similar since they show AA (angel - angle ) similarity.

angle K = angle H = 90 degrees

angle L = angle I = 48⁰

angle J = angle G = 90 - 48⁰ (complementary angles)

angle J = angle G = 42⁰

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Answer:

The value of y in the equation (3 - 2√5) * (-y) = 25 - 9√5 is given by y = -25 + 9√5.

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Depends on what you consider a holiday. The federal government says that there are 12 holidays: New Year's Day, Martin Luther King Jr. Day, Inauguration Day (every four years: not considered), Presidents Day, Memorial Day, Juneteenth, Independence Day, Labor Day, Columbus Day, Veterans Day, Thanksgiving, and Christmas.
If new year's Day is on a Sunday:

Sunday: New Year's Day,

Saturday: Veteran's Day,

Monday: MLK, Presidents Day, Memorial Day, Labor Day, Columbus Day, Christmas.

Tuesday: Independence Day,

Wednesday:

Thursday: Thanksgiving,

Friday: Juneteenth
so all of the days MUST have a holiday except Wednesday. So there is a 6/7 chance that a Monday will have a holiday.

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer: For the first rectangular prism the surface area is 108 the second one is 128 and the one on the bottoms' surface area is 116

Hope this helped :D

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Answer: Square 1. 72/ Square 2. 60/ Square 3. 56

Step-by-step explanation: In Square 1. I did Lenth x Width x Height = 72. In square two I cut it in two and did Lenth x Width x Height on both and added them = 60 and I did the same thing for Square 3. to equal 56

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In a case whereby boat is spotted in the water with an angle of depression of 20° from the top of a lighthouse that is 89 feet tall. To the nearest foot,  the distance away  the boat from the base of the lighthouse is [tex]191 feet[/tex]

The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item.

The bottom of the lighthouse bears a triangle with a 90 degree angle. That implies that we can calculate the distance between a boat and the bottom of a lighthouse using trigonometry.

[tex]tan(25) = \frac{89}{x}[/tex]

[tex]x = \frac{89}{tan(25)}[/tex]

[tex]x = 190.86[/tex]

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Answer:

20^3

20 to the third power

which just means 20 times itself by 3 (20x20x20)

Step-by-step explanation:

hope this helps

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

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Based on the analysis, the only absolute value equation or inequality that has a solution set that is not the empty set is |2x - 1| - 7 < -6.

Option  A is the correct answer.

We have,

To determine which absolute value equation or inequality has a non-empty solution set, we can analyze each option:

|2x - 1| - 7 < -6:

Subtracting 7 from both sides, we get |2x - 1| < 1.

The absolute value of any real number is always non-negative, so the left-hand side is non-negative.

Since the right-hand side is also non-negative, the absolute value inequality is always true.

Therefore, this inequality has a solution set that is not the empty set.

|4x + 5| - 4 = -5:

Adding 4 to both sides, we get |4x + 5| = -1.

The absolute value of any real number is always non-negative, so the left-hand side is non-negative.

However, the right-hand side is negative, which is not possible.

Therefore, this equation does not have a solution, and the solution set is the empty set.

3|x + 2| - 2 = -3:

Adding 2 to both sides, we get 3|x + 2| = -1.

The absolute value of any real number is always non-negative, so the left-hand side is non-negative.

However, the right-hand side is negative, which is not possible.

Therefore, this equation does not have a solution, and the solution set is the empty set.

2|x - 5| - 4 < -8:

Adding 4 to both sides, we get 2|x - 5| < -4.

The absolute value of any real number is always non-negative, so the left-hand side is non-negative.

However, the right-hand side is negative, which is not possible.

Therefore, this inequality does not have a solution, and the solution set is the empty set.

Thus,

Based on the analysis, the only absolute value equation or inequality that has a solution set that is not the empty set is |2x - 1| - 7 < -6.

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The height of Shane is calculated as follows: 100/80 = height/h Shane's height is 125 inches. The length of the corresponding sides of the two triangles can be used to determine the unknown length.

On a sunny day, Shane notices that his shadow is 80 inches long. If it is 100 inches from the top of his head to the end of the shadow, how tall is Shane?

Shane's height can be determined by using similar triangles. This method is based on the fact that if two triangles have the same angles, they are similar.

The ratio of the lengths of the corresponding sides of these triangles is called the scale factor. Using this scale factor, we can calculate the length of the unknown side.

We first need to identify the corresponding sides of the two triangles. The vertical side of the larger triangle is the sum of the lengths of Shane's height and his shadow length.

We can then use the ratio of the corresponding sides to find Shane's height. The height of the triangle is equal to the height of Shane plus the length of his shadow. It is given that the length of the shadow is 80 inches and the length of the hypotenuse is 100 inches.

Therefore, the height of Shane is calculated as follows:100/80 = height/h Shane's height is 125 inches. To summarize, Shane's height can be calculated by using similar triangles.

The length of the corresponding sides of the two triangles can be used to determine the unknown length.

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The number of times the heart beats per minute while the body is at rest. Regular exercise can help to Lower resting heart rate, which is beneficial for heart health.

The given graph shows the relationship between James's resting heart rate and the number of hours he exercises per day. The number of hours is shown on the x-axis, and the resting heart rate is shown on the y-axis.

The graph shows a decreasing trend as the number of hours of exercise per day increases. Resting heart rate decreases as the hours of exercise increase.  For every hour of exercise, James's resting heart rate decreases by about 3 beats per minute.

When he exercises 4 hours a day, his resting heart rate decreases by about 12 beats per minute. Hence, his resting heart rate will be 68 - 12 = 56 beats per minute. Therefore, James's resting heart rate is about 56 beats per minute.  Resting heart rate is an important indicator of cardiovascular health.

It measures the number of times the heart beats per minute while the body is at rest. Regular exercise can help to lower resting heart rate, which is beneficial for heart health.

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The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The graph touches the y-axis at y = 100, hence the intercept b is given as follows:

b = 100.

(representing the resting rate).

When x increases by 2, y decays by 10, hence the slope m is given as follows:

m = -10/2.

m = -5.

Hence:

y = -5x + 100.

Hence the value of y when x = 4 is given as follows:

y = -5(4) + 100

y = 80 beats per minute.

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La respuesta: 20-(-40)=60. 50-(-50)=100.

Para 20-___=60, tienes que restar 60 de 20. 20-60=-40

Para 50-___=100. tienes que restar 100 de 50. 50-100=-50.

Un negativo menos un negativo es igual a un positivo.

As per the given image, the surface area of the composite figure is 1996 square meters.

Calculating the surface areas of the rectangular prism and the prism at the top separately and adding them together will yield the surface area of the composite figure.

The rectangular prism's surface area is as follows:

Surface Area = 2(length x width + length x height + width x height)

Surface Area of rectangular prism = 2(15m x 10m + 15m x 25m + 10m x 25m)

= 2(150m² + 375m² + 250m²)

= 2(775m²)

= 1550m²

Surface Area = 2(length x width) + perimeter of base x height

Surface Area of prism = 2(8m x 6m) + (8m + 6m) x 25m

= 2(48m²) + 14m x 25m

= 96m² + 350m²

= 446m²

Total surface area = Surface Area of rectangular prism + Surface Area of prism

= 1550m² + 446m²

= 1996m²

Thus, the answer is 1996m².

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The sides of each triangle from shortest to greatest:

AB < AC < BC

EG < FG = EF

XY < XZ < YZ

XY = XZ = YZ

We have,

The sides opposite to the angles can be considered as the length measurement.

So,

9)

∠A = 80

∠B = 66

∠C = 180 - (80 + 66) = 180 - 146 = 34

So,

∠C < ∠B < ∠A

This means,

AB < AC < BC

10)

∠E = 65

∠F = 50

∠G = 65

So,

∠F < ∠E = ∠G

EG < FG = EF

11)

∠X = 94

∠Y = 53

∠Z = 33

So,

∠Z < ∠Y < ∠X

XY < XZ < YZ

12)

∠P = 60

∠Q = 60

∠Z = 60

So,

∠P = ∠Q = ∠Z

XY = XZ = YZ

Thus,

The sides of each triangle from shortest to greatest:

AB < AC < BC

EG < FG = EF

XY < XZ < YZ

XY = XZ = YZ

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Among the loading methods, the single-unit load, mixed-unit load, and floor load are common terms used in the industry.A single-unit load is a method of material handling where a single item or SKU is loaded on a pallet, and then the pallet is moved to the desired location.

When it comes to material handling, it is crucial to have a good understanding of various loading methods that exist. It helps in determining the most appropriate method based on the type of product, its shape, size, weight, and other characteristics.

It is a popular loading method used in manufacturing, retail, and distribution centers. The single-unit load method is best suited for high-volume items with consistent dimensions and weight, making it easier to manage and transport.

Mixed-unit load is a method used in material handling where a single pallet has several SKUs or products of different types and sizes, packed together to create a single load. This method is useful for transporting small quantities of different items or products in one shipment, thus reducing the shipping cost and time.

The mixed-unit load method can be accomplished using different methods, such as uniform mixed palletizing, vertical mixed palletizing, and interlocking mixed palletizing.Floor loading is another loading method used in the material handling industry where the load is placed directly on the floor of the trailer or container.

This method is suitable for bulk cargo that can be loaded directly into a trailer or shipping container, and then secured to prevent movement during transportation.

This method of loading is popular in the agriculture industry, where items such as grains, fruits, and vegetables are transported in bulk.Based on the question asked, the answer is mixed-unit load, which is a pallet that contains several SKUs.

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Answer:

Step-by-step explanation this is a tough one but i know everything the answer is 69

The number of Cheetos you can buy in the supermarket is 7.

You have $16 and a coupon for a five dollar discount at a local

supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the

number  of bag of Cheetos you can buy can be calculated as follows:

Therefore, altogether he has 16 + 5(coupon discount)  = 21 dollars to spend

in the super market.

Therefore,

number of Cheetos worth 3 dollars one can buy = 21 / 3

number of Cheetos worth 3 dollars one can buy = 7

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The unit rate in pounds per person is 0.1875 pounds.

To find the unit rate in pounds per person, we need to divide the total pounds of candy by the number of people.

Given that Lucy split 3/4 pounds of candy among 4 people, we can calculate the unit rate as follows:

Unit rate = (3/4) pounds / 4 people

= 3/4 x 1/4

= 0.75 /4

To find the unit rate, we divide the numerator (0.75 pounds) by the denominator (4 people):

Unit rate = 0.75 pounds / 4 people

≈ 0.1875 pounds per person

Therefore, the unit rate in pounds per person is 0.1875 pounds.

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Answer: C and D

Step-by-step explanation:

The logically equivalent statement to p → ~q is q → ~p.

The statement p → ~q is read as "If p, then not q." This means that if p is true, then q must be false. The statement q → ~p is read as "If q, then not p." This means that if q is true, then p must be false.

These two statements are logically identical as they hold the same truth value in every conceivable scenario.

Suppose p is true and q is false; in this case, both statements will be found to be true.

When p is not a fact and q is, the result will be untrue for both assertions. If p and q are both untrue, then both statements will yield a true outcome.

Therefore, the logically equivalent statement to p → ~q is q → ~p.

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A statement which best describes the resulting three-dimensional figure include the following: D. a cylinder with a base radius of 14 cm.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

Since the rectangle is rotated about line b at a side that has a length of 24 centimeters, the width of the rectangle and base radius of the cylinder can be calculated as follows:

76 = 2(24 + x)

76 = 48 + 2x

2x = 76 - 48

2x = 28

x = 28/2

x = 14 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

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Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation: