Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

Answers

Answer 1

Answer:

q = 270 degrees + 360n  where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n  where n is an integer


Related Questions

Danny read three books over winter break. The first book had 1,349 pages, the second book had 1,281 pages, and the third book had 1,195 pages. How many total pages did Danny read over the break?

Answers

Answer:

3825 pages

Step-by-step explanation:

Add the pages together:

1349+1281+1195 = 3825 pages

Danny read a total of 3,825 pages over winter break, which is well above 1,050 pages, indicating that it was very likely he had to read more than 1,050 pages.

Danny read three books over winter break. To determine the total number of pages Danny read, we need to add up the pages from each book. Here is the step-by-step explanation:

First book: 1,349 pages

Second book: 1,281 pages

Third book: 1,195 pages

Add these numbers together:

1,349 + 1,281 + 1,195 = 3,825 pages in total

Therefore, Danny read a total of 3,825 pages over the break. Clearly, this number is much greater than 1,050 pages, so without doing any calculations, we could confidently say that it's highly likely that Danny had to read more than 1,050 pages based on the individual page counts of each book provided.

Two forces act on an object. The first force has a magnitude of 360 newtons and acts at an angle of 30° as measured from the horizontal. The second force has a magnitude of 240 newtons and acts at an angle of 135° as measured from the horizontal. Determine the vector v that represents the resultant force.

Answers

Answer:377.46 N

Step-by-step explanation:

Given

Vector 1 has a magnitude of [tex]360\ N[/tex] and makes an angle of [tex]30^{\circ}[/tex]

vector 2 has a magnitude of [tex]240\ N[/tex] and makes an angle of [tex]135^{\circ}[/tex]

Net Horizontal force

[tex]\sum F_h=360\cos 30+240\cos 135[/tex]

[tex]\sum F_h=311.769-169.70[/tex]

[tex]\sum F_h=142.069\ N\quad \ldots(i)[/tex]

Net vertical force

[tex]\sum F_v=360\sin 30+240\sin 135[/tex]

[tex]\sum F_v=180+169.705[/tex]

[tex]\sum F_v=349.705\ N\quad \ldots(ii)[/tex]

Net resultant force

[tex]F_{net}=\sqrt{F_h^2+F_v^2}[/tex]

[tex]F_{net}=\sqrt{(142.069)^2+(349.705)^2}[/tex]

[tex]F_{net}=377.46\ N[/tex]

angle which resultant make with x-axis

[tex]\tan \theta =\frac{\sum F_v}{\sum F_h}[/tex]

[tex]\tan \theta =\frac{349.705}{142.069}[/tex]

[tex]\tan \theta =2.461[/tex]

[tex]\theta =67.88^{\circ}[/tex]

Thus vector v is given by

[tex]\vec{v}=377.46[\cos 67.88+\sin 67.88][/tex]

Answer:

B) [tex]v=(180\sqrt{3} -120\sqrt{2})i+(18 0+120\sqrt{2} )j[/tex]

Step-by-step explanation:

I just did the test and this is the correct answer.

Determine the slope and y-intercept. 4x + y = -10

Answers

Answer:

Y intercept is -10

Step-by-step explanation:

Answer:

slope = -4

y-intercept = -10

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:

4x (-4x) + y = -10 (-4x)

y = -4x - 10

Note the slope intercept form: y = mx + b

y = y

m = slope = -4

x = x

b = y-intercept = -10

slope = -4

y-intercept = -10

If I do this with 4 and 5 - I get 29. If I do the same thing with 4 and 6 - I get 40. Thesame thing again to 8 and 9 gives me 89. What do I get if I do the same thing to 5 and 8?

Answers

Answer: 69

Step-by-step explanation:

If I do this with 4 and 5 - I get 29.

This can be explained as this:

4 + (5^2) = 4 + 25 = 29

If I do the same thing with 4 and 6 - I get 40. This can be explained as:

4 + (6^2) = 4 + 36 = 40

Thesame thing again to 8 and 9 gives me 89. This can be explained as:

8 + (9^2) = 8 + 81 = 89

What do I get if I do the same thing to 5 and 8. This will be:

5 + (8^2) = 5 + 64 = 69

será que me pueden ayudar con las siguiente ecuaciones y con verificación por favor gracias son 8 ecuaciones 1) 3x+7=-5 2) 4=3x+1/4 3) -2/5+2x=4-3x 4) 5x+3/8=3/4 5) 3/5x+4=-3/6 6) 3x-4/9=-7/2-4x 7) 5/6x+5/3=5/4 8) 4/3=3x-1/2

Answers

Answer:

see below

Step-by-step explanation:

1. 2+5x=4x+7

5x-4x=7-2

x=5

2. 4x-5=1+3x

4x-3x=1+5

x=6

3. 8-5x-4=-6x+6

-5x+6x=6-8+4

x=2

4. 4x+8+2x=5x-1

6x-5x=-1-8

x= -9

On a school field​ trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is​ distance, r is​ rate, and t is time

Answers

Given Information:

Distance = d = 12 miles

Time = t = 15 minutes

Required Information:

Speed of the bus = r = ?

Answer:

Speed of the bus = r = 48 mph

Step-by-step explanation:

We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.

We are required to find the rate or speed at which the bus is traveling.

The relation is given by

[tex]rate = \frac{distance}{time}\\\\r = \frac{d}{t}[/tex]

Where r is the rate or speed, d is the distance and t is the time.

First let us convert time from minutes to hours

as we know 1 hour has 60 minutes,

15/60 = 0.25 hour

Now we will get the speed of the bus in miles per hour

[tex]r = \frac{d}{t}\\\\r = \frac{12}{0.25}\\\\r = 48 \: mph[/tex]

Therefore, the speed of the bus is 48 miles per hour.

Find the volume. *
7) height = 15 ft; radius = 10 ft
Volume =

Answers

Answer:

B

Step-by-step explanation:

Srry but could you please answer the questions.

Answers

Answer:

23º

55º

Step-by-step explanation:

Part One:
Half a circle=180
180-67=113
The square on the left side means 90 degrees

113-90=23 degrees

I don’t know the other one sorry but I hope this helps with the first one.

Why is it important to describe the variable in an expression?

Answers

Answer: They show numerical value. You have to make them clear.

Step-by-step explanation:

Answer:

you define it, and it lets you know how to properly write the equation. ... If you want to solve for the unknowns using mathematical equations it is necessary to define the unknown variables i.e. what they represent in the real world so that the known relationships can be expressed in equation form

Step-by-step explanation:

its basically a value that can hold and amount depending on the value you give it

Mike and his friends hiked 23 miles on Saturday. They hiked 7 miles less than that on Sunday. Their goal is to hike a total of 50 miles during their trip. How many miles did they hike on Sunday?

Answers

Mike and his friends hiked 16 miles on Sunday. They have hiked a total of 39 miles over Saturday and Sunday, which is 11 miles short of their 50-mile goal.

Mike and his friends hiked a total of 23 miles on Saturday and hiked 7 miles less on Sunday. To find out how many miles they hiked on Sunday, we subtract 7 miles from the 23 miles they hiked on Saturday.

So, Sunday's hiking distance = Saturday's hiking distance - 7 miles
Sunday's hiking distance = 23 miles - 7 miles
Sunday's hiking distance = 16 miles.

Now, to check if they met their hiking goal of 50 miles during their trip, we add the distances hiked on both days:
Total hiking distance = Saturday's hiking distance + Sunday's hiking distance
Total hiking distance = 23 miles + 16 miles
Total hiking distance = 39 miles.

They have hiked 39 miles so far, which is short of their 50-mile goal.

Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Final answer:

Jen's speed is 0.04 miles per minute.

Explanation:

To find Jen's speed, we need to divide the distance she traveled by the time it took her to get there. In this case, Jen traveled 1/5 of a mile and it took her 5 minutes. To find her speed in miles per minute, we divide the distance (1/5 mile) by the time (5 minutes):

Speed = Distance ÷ Time

Speed = 1/5 mile ÷ 5 minutes

To simplify the calculation, we can convert 1/5 mile to a decimal by dividing 1 by 5:

1/5 = 0.2

Now we can divide 0.2 by 5 to find Jen's speed:

0.2 ÷ 5 = 0.04

Therefore, Jen's speed is 0.04 miles per minute.

f(x) = –2x2 + 8x – 1.

Answers

Answer:

x=5/8

Step-by-step explanation:

0=2 times 2 + 8x - 1

hope this helps!

Answer:

Step-by-step explanation:

WHAT IS THIS ANSWER

Answers

Answer:

15

Step-by-step explanation:

I beleive you just count the dots thats what i did

Answer:

ahskdhdidjdujdjdjej

What is the radius of the circle with the following equation (x+1)²+ (y-3)²= 64? *

Answers

The center-radius form is: (x−h)^2+(y−k)^2=r^2

Knowing this, all we need to do is square root the 64 to get 8 as your radius.

Which type of graph most readily shows the interquartile range for a data set?
bar graphs
O box plots
O dot plots
o histograms

Answers

Box plots, pretty sure

Answer:

its box plots i got it correct and i got proof

Step-by-step explanation:

Pls help it’s easy but I been staring at this for 2 hours now pls help a lot of points and will give brainlyest

Answers

Answer:?

I have no idea sir sorry yt ;-;

Step-by-step explanation:


Do the following lengths form a right triangle?
​45, 117, and 125

Answers

Answer:

NOT

Step-by-step explanation:

[tex]\text{If}\ a\leq b<c\ \text{and}\ a^2+b^2=c^2,\ \text{then}\ a,\ b\ \text{and}\ c\ \text{form a right triangle.}\\\\\text{We have:}\\\\a=45,\ b=117,\ c=125\\\\\text{substitute}\\\\a^2+b^2=45^2+117^2=2025+13689=15714\\\\c^2=125^2=15625\\\\a^2+b^2\neq c^2\\\\\text{Therefore your answer is}\ \bold{NO}[/tex]

In ADEF, DE = 25 cm, EF = 17 cm, and DF -- 20 cm
Which angle in the triangle is the smallest?

Answers

Answer:

angle FBE

Step-by-step explanation:

By using the formula, the shortest angle is facing the shortest side

so the shortest angle is angle FBE

Final answer:

In triangle ADEF, angle E is the smallest angle.

Explanation:

In triangle ADEF, we are given that DE = 25 cm, EF = 17 cm, and DF = 20 cm. To determine which angle is the smallest, we need to compare the lengths of the sides opposite each angle. The smallest angle will have the smallest side opposite it. Let's compare the lengths:

Side DE is opposite angle D.

Side EF is opposite angle E.

Side DF is opposite angle F.

Since side EF (length 17 cm) is the smallest, angle E is the smallest angle in triangle ADEF.

Learn more about triangles here:

https://brainly.com/question/37610445

#SPJ2

For every 5 girls in mr hegarty class there are 4 boys what us the ratio of girls to boys in the class give your answer in its simplest form

Answers

Answer:5:4

Step-by-step explanation:

At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?

Answers

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

There is a 2/3 probability that yo will have homework in math class. What is the probability you will NOT have homework?

Answers

Answer:

1/3

Step-by-step explanation:

3/3 = one whole one

3/3 - 2/3 = 1/3

Answer:

1/3.

Step-by-step explanation:

You will either have homework or not . These are the only possibilities, so:

Probability of not having homework = 1 - 2/3 = 1/3.

Find two numbers that multiply to -40 and add to -6.

Answers

Answer:

-10 and 4 are the answer

Step-by-step explanation:

-10 times 4 is -40 and

-10 plus 4 is -6

Hope this helps;)

6x5 so you add them together

find the selling price if the cost price is $560 and the gain is 15% on cost

Answers

Answer: 644

Step-by-step explanation:

plz follow  my format

cp     percent  multiplayer  sp

560   +15          115/100      

sp = 560 *115/100= 644

Answer:

Given :

Cost Price = $560Gain % = 15%

To Find :

Selling Price

Using Formula :

[tex]{\star{\small{\underline{ \boxed{\sf{\purple{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}}}}[/tex]

Solution :

Finding the selling price by substituting the values in the formula :

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + 15}{100} \times 560}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{115}{100} \times 560}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \cancel{\dfrac{115}{100}} \times 560}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = 1.15 \times 560}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \$644}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\sf{\red{Selling \: Price = \$644}}}}}}}[/tex]

Hence, the selling price is $644.

If the measure of arc CD is 120 degrees and the radius is 15 centimeters, what’s the length of arc CD?
A. 5pi cm
B. 10pi cm
C. 90pi cm
D. 45pi cm

Answers

Answer"

is it B) 10pi cm

The cable company takes an SRS (simple random sample) of 250 of the approximately 15,000 households who subscribe to them. They found that 75% of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 60% of their total subscribed households who watch those sports. Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month. What are the mean and standard deviation of the sampling distribution of p?

Answers

The mean of the sampling distribution of p  is 0.70  and the standard deviation is 0.029 .

To find the mean and standard deviation of the sampling distribution of p , we can use the properties of sampling distributions.

Given:

Sample size, n = 250

Proportion of subscribed households who watch sports,  p = 0.70 (from the population)

Sample proportion of households who watch sports, [tex]\( \hat{p} = 0.75 \)[/tex](from the sample)

The mean of the sampling distribution of p  is equal to the population proportion, which is  p = 0.70 .

The standard deviation of the sampling distribution of p  can be calculated using the formula:

[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}} \][/tex]

Substituting the given values:

[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70(1-0.70)}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70 \times 0.30}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.21}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{0.00084} \]\[ \sigma_{\hat{p}} = 0.029 \][/tex]

So, the mean of the sampling distribution of p  is 0.70  and the standard deviation is 0.029 .

Question

The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.

Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.

What are the mean and standard deviation of the sampling distribution of p?

Answer: This one on Khan Academy

Step-by-step explanation:

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living between 12.3 and 14.2 years.

Answers

Answer: 13.5 % would be the answer

Final answer:

To estimate the probability of a meerkat living between 12.3 and 14.2 years, we can use the empirical rule (68-95-99.7%).

Explanation:

The probability of a meerkat living between 12.3 and 14.2 years can be estimated using the empirical rule (68-95-99.7%).

First, calculate the z-scores for the given values using the formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. For 12.3 years:z = (12.3 - 10.4) / 1.9 = 0.947For 14.2 years:z = (14.2 - 10.4) / 1.9 = 2.000

Next, use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

The probability of a meerkat living less than 12.3 years is the same as the probability of a z-score less than 0.947.The probability of a meerkat living less than or equal to 14.2 years is the same as the probability of a z-score less than or equal to 2.000.

Finally, subtract the probability of the lower value from the probability of the higher value to find the probability of a meerkat living between 12.3 and 14.2 years.

Can someone help me please

Answers

Answer:

initial value: 0rate of change: 200 m/minequation: H = 200T

Step-by-step explanation:

The initial value is always the value that corresponds to the independent variable being 0. Here, that's the first entry in the table. The initial Height is 0, when Time is 0.

__

The rate of change can be figured by looking at the change in Height for a change of 1 in Time. Here, the height changes by 200 m for every 1 min change in time. The rate of change is 200 m/min.

__

The equation can be written in slope intercept form using the rate of change and initial value:

  (dependent variable) = (rate of change)×(independent variable) + (initial value)

  H = 200T + 0

  H = 200T . . . . . . . . height in meters for time in minutes

What steps should be taken to calculate the volume of the right triangular prism? Select three options.

A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters.

A. Use the formula A = one-half b h to find the area of the base.
B. Use the formula A = b h to find the area of the base.
C. The area of the base, A, is One-half (7) (8) = 28 meters squared.
D. The area of the base, A, is One-half (8) (14) = 56 meters squared.
E. The volume of the prism, V is (56) (7) = 392 meters cubed.

Answers

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

                                                      = [tex]\frac{1}{2}(8)(14)[/tex]

                                                      = 56 m²                                                    

                   Volume of the prism = [tex](56)(7)[/tex]

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

Answer:

a,d, and e

Step-by-step explanation:

Medea found the missing measure using a proportion of the reduced trapezoid.

Analyze Medea’s work. In which step did Medea make an error?

In step 1, the corresponding parts are in different positions.

In step 2, the cross products should be multiplied instead of being equal.

In step 3, she should have added instead of multiplying to simplify.

In step 4, she needed to divide 2 to both sides to get x = 4.

Answers

Answer:

In step 1, the corresponding parts are in different positions.

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

a theater has 44 seats in the first row,46 seats in the second row,48 seats in the third row,and so on. how many seats are there in row 18?

Answers

Step-by-step explanation:

Total rows = 18

This is a even number sequence so

44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78

So 78 seats are in row 18

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