Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression

Answer:

18.84

Step-by-step explanation:

x is the hypotenuse of the triangle.

For the 48° angle, 14 is the opposite leg.

The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.

sin 48° = opp/hyp

sin 48° = 14/x

x × sin 48° = 14

x = 14/sin 48°

x = 18.84

The trigonometric ratio as a fraction for sinC is  , and the decimal is 0.80.

The trigonometric functions are actual functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

The widely used trigonometric functions are sine, cosine and tangent. The trigonometric functions also operate the inverse of the functions.

For the given triangle the trigonometric values are as follows:

For angle A the opposite side is CB, the adjacent side is AB and the hypotenuse is AC.

For angle C the opposite side is AB, the adjacent side is CB and the hypotenuse is AC.

[tex]sinC = \frac{\text{Opposite side }}{Hypotenuse} = \frac{4}{5} =0.80\\ \\ cosC = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{3}{5} = 0.60\\\\tanA =\frac{\text{Opposite side }}{Adjacent side} = \frac{3}{4} = 0.75\\\\tanC= \frac{\text{Opposite side }}{Adjacent side} =\frac{4}{3} = 1.33\\\\cosA = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{4}{5} = 0.80\\\\sinA= \frac{\text{Opposite side }}{Hypotenuse}=\frac{3}{5} =0.60[/tex]

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Answer:

1/2

Step-by-step explanation:

simlified would be 1/2

Diana's savings will be 280 dollars after four weeks.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

300 - 5x

Where x represents the number of the week.

We have to determine Diana's savings after four weeks

As per the question, we have

⇒ 300 - 5x

Substitute the value of x = 4 in the above expression

⇒ 300 - 5(4)

⇒ 300 - 20

⇒ 280

This means her savings will be 280 dollars after four weeks.

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The question seems to be incomplete the correct question would be:

Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.

What is her savings after four weeks?

Answer:

1.46

Step-by-step explanation:

We can represent this problem as an array of dots, where each dot represents 0.73 units.

⚫️ ⚫️

We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:

0.73 + 0.73

Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.

tenths           +  hundredths

(0.70 + 0.70) + (0.03 + 0.03)

1.40 + 0.06

1.46

Answer:

C. xy²

Step-by-step explanation:

You have to add the exponents:

(xy) exponent is 1

(x) exponent is 1

Combine the (x):

xy²

Answer:

Step-by-step explanation:

The system of linear equations has no solution when the lines are parallel. It means the lines have same slope but different y-intercepts.

The y-intercepts are different:

For the given system to have no solution we need n = -4.

A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).

Given that:

AS = 480 miles per hour at a bearing of N82°E

GS = 518 miles per hour at a bearing of 79°E

We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.

WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))

WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour

Then we can use the angle between AS and WS to find the direction of the wind:

Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.

Given that:

AS' = 500 miles per hour at a bearing of N82°E

GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))

GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour

The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

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The four equations of uniformly accelerated motion are:

[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]

Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:

These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.

The first equation is a result of the definition of acceleration.

The second one is derived from the first equation and the definition of distance.

The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.

The fourth equation is derived by dividing the distance traveled by the time taken.

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Answer:

16. 68

17. 97

18. 81

19. 96

20. 84.2

Step-by-step explanation:

A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:

68, 75, 77, 79, 80, 82, 92, 96, 96, 97

Just by looking at the data, the minimum is 68 and the maximum is 97.

Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:

68, 75, 77, 79,   80, 82,    92, 96, 96, 97

To find the median, we just find the mean of 80 and 82, which is 81.

The mode is the number that repeats the most, and that number is 96.

Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:

(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10

842 / 10

84.2 would be the mean.

Answer:

Step-by-step explanation:

Answer is choice A

Both functions are decreasing at a rate of -2. You can find this by finding the slope.

Answer: [tex]35x+9\leq 310,\ 8[/tex]

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

[tex]\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6[/tex]

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

Answer:Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

Yes  sales representatives in Midwest and Northeast require more training

Although your question is incomplete attached below is the missing data related to your question

Given that the percentage of new stores in the Midwest and Northeast is below the 25% there will be need for an additional training for the sales representatives in these regions. while the percentage of new stores in the south is above 25% hence there won't be the need for additional sales representative training.

Percentage of new stores for after 1 month

Midwest =  ( 66 / 362 ) * 100 = 18.2%

South = ( 115 / 197 ) * 100 = 58.3%

North east = ( 60 / 250 ) * 100 = 24%

Hence we can conclude that to meet up the 25% sales orders from new stores in each region additional training is required for sales representative s in Midwest and North east only.

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Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]

Answer:

X=11

Step by step:

6x-3(x+8)=9

=6x-3x-24=9

=3x-24=9

      +24   +24

=3x=33

=3x/3=33/3

X=11

Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - μ/σ

x = the raw score

 population mean= μ 

Population standard deviation is σ

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability based on the Z-Table:

P(x<258) = 0.89736

Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.

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Answer:

-23

Step-by-step explanation:

Open up the parenthesis

R - 8 - R - 15

R - R - 8 - 15

-23

Answer:-23    ITS SUPER EASY:0

Step-by-step explanation:

Open up the parenthesis

R - 8 - R - 15

R - R - 8 - 15

-23

Answer:

Mary bought the most flour

Step-by-step explanation:

Ana bought 12 3/6 kg of flour

12 3/6 = 75/6 = 12.5 kg of flour

Mary has brought 14 2/8 kg of flour

14 2/8 = 114/8 = 14.25 kg of flour

Kristina bought 11 8/12 kg of flour.

11 8/12 = 140/12 = 11.66 kg of flour

So, Mary bought the most flour.

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.

Answer:

x =−1−√93/23,−1+√93/23

Step-by-step explanation:

x=0.37581090…,−0.46276742...

So, it rained 15/8 inch the day before yesterday.

The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.

To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.

2/8 = 2/8 * 1 = 2/8

3/8 = 3/8 * 1 = 3/8

Now we can add the fractions:

2/8 + 3/8 = (2+3)/8 = 5/8

Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:

1 inch - (5/8 inch) = 15/8 inch

Therefore, it rained 15/8 inch the day before yesterday.

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The height of the Building is 110.01 feet.

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.

Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.

For the triangle made by ladder

hypotenuse = 100

base = 14

thus, from the Pythagorean theorem

hypotenuse² = base² + height²

100² = 14² + height²

height² = 10000 - 196

height = √9804

height = 99.01

total height of the wall = height of triangle + remaining height of the wall

Thus the total height of the wall  = 99.01 + 11

the total height of the wall  = 110.01

therefore, the building is 110.01 feet tall.

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The examples for each of the quadrant is explained below.

Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.

Here we have to know the value that must be placed on each quadrant.

Here the first quadrant has both x and y-coordinates are positive.

The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.

The third quadrant has both x and y-coordinates are negative.

The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.

Therefore, the example for each of them are written as

=> Quadrant I = (1, 1)

=> Quadrant II = (-1, 1)

=> Quadrant III = (-1, -1)

=> Quadrant IV = (1, -1)

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It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.

To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:

It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.

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Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

2( x² + 8x+ 16) = 2               Applying the square formula

2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

x2 + 8x + 15 = 0------------eq 1

x2 + 8x + 15 = 0-------------eq 2

(x − 5)2 = 1

x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

x²-10x+24= 0-------------eq 3

x2 − 10x + 26 = 0 -------------eq 4

3(x − 1)2 + 5 = 0

3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6

Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).

Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.

b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).

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Answer:

x = 29

y = 119

Step-by-step explanation:

51 + x = 90

x = 90 - 51

x = 29

y = 90 + x

= 90 + 29

y = 119

Answer:

1/6

Step-by-step explanation:

if one kid shared 1/3 of cookies then each kid would have 1/3 of cookies