Determine the measure of q in sin q =0.4848 to the nearest degree.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

there are 2 possible values for q

Since sin q > 0 then q is in the first or second quadrant

sin q = 0.4848, then

q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant

or q = 180° - 29° = 151° ← second quadrant




Related Questions

six more than seven times a number is less than three times the number decreased by fourteen. FInd the numbers that make this true

Answers

Answer:

find below

Step-by-step explanation:

7x-6 = 3x-14

4x = -8

x = -2

-2*7-6 = -14-6 = -20

-2*3-14 = -6-14 = -20

what the simplified of 2/3 dived by 2/9

Answers

Answer:

3

Step-by-step explanation:

Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]

[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]

refurbished phone 30% off now only 78£ how much was the phone before

Answers

Answer:

120 pounds

-hope this helps


Answer:

£111.43

Step-by-step explanation:

100% represents the original cost of the phone

30% off is then (100 - 30) = 70% of the original cost

divide the cost by 70 to find 1% then multiply by 100 for original cost

original cost = [tex]\frac{78}{70}[/tex] × 100 = £111.43


solve for x in the triangle

Answers

tan(angle) = opposite/adjacent

tan(37) = x/14

14*tan(37) = x

x = 14*tan(37)

x = 10.5497567

x = 10.5


Answer: 10.5

A box of cany holds 34 pieces when fiest opened. The box is 3/8 full. How many pieces of candy have been eaten?

Answers

Answer:

21.25 pieces of candy have been eaten.

Step-by-step explanation:

Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.


A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased

Answers

Answer:

[tex]x+y=12[/tex]

[tex]21.50x+14.75y=204[/tex]

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

[tex]x+y=12[/tex]

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be [tex]21.50x[/tex] and cost of y children's ticket will be [tex]14.75y[/tex]. We can form the second equation by setting the total cost of tickets as:

[tex]21.50x+14.75y=204[/tex]

Therefore, the required system of equations that could be used to find x and y will be:

[tex]x+y=12[/tex]

[tex]21.50x+14.75y=204[/tex]

Answer:


[tex]x+y = 12[/tex]


[tex]21.50x+14.75y=204.00[/tex]


Step-by-step explanation:

Given :

A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket.

Group of 12 people paid $204.00 for tickets.

To Find : System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

Solution :

Since group contains 12 people so no. of tickets are 12 .

Let out of 12 people no. of adults's tickets  are x.

Let out of 12 people no. of children's ticket are y .


⇒[tex]x+y = 12[/tex]


Since charge of one adult ticket = $21.50

So, charge of x adult tickets = $21.50 x

Since charge of one child ticket = $14.75

So, charge of y children tickets =$14.75 y

And we are given that total amount paid by these 12 people = $204.00


Thus [tex]21.50x+14.75y=204.00[/tex]


Hence , System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased:


[tex]x+y = 12[/tex]


[tex]21.50x+14.75y=204.00[/tex]

What number is the substitution of 4(3x+9) and 5x+8

Answers

Answer:

-4

Step-by-step explanation:

If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4

4(3x+9) = 5x+8

12x + 36 - 5x - 8 =0

7x = -28

x = -4

A light bulb consumes 600 watt-hours per day.how many watt-hours does it consumes in 3 days and 6 hours

Answers

Answer:

1950 watt-hours

Step-by-step explanation:

3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.

0.25 + 3= 3.25 which is the time.

Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.


What is the answer to linear equation: 9t = -3

Answers

Answer:

-3

Step-by-step explanation:

Anything that is negative multiplied by a negative is a positive so knowing this, you can multiply -3*-3=9 or divide 9/-3=-3

Hope this helps

<> Anna <>

Answer:

The answer to linear equation 9t=-3 is t = - (1/3)

Step-by-step explanation:

9t=-3

Solving for t: Dividing both sides of the equation by 9:

9t/9=-3/9

t=-(3/9)

Simplifying the fraction on the right side of the equation dividing the numerator and denominator by 3:

t = - (3/3) / (9/3)

t = - (1/3)

Find the value of y when x = 4 in the equation 4x - 2 = y + 5 Show your work help

Answers

First, substitute 4 into x
Then multiply 4 times 4
Subtract 2
Then subtract 5 from both sides
4(4)-2=y+5
16-2=y+5
14=y+5
9=y

Solve for X

8^3x-10 =4^6x-27

Thanks in advance!

Answers

[tex]8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}[/tex]

Jake sold 36 tickets at the school fair, and Jeanne sold 15 tickets. What is the ratio in simpilest form, of the number of tickets Jeanne sold to the number of tickets Jake sold.

Answers

Answer:

12:5

Step-by-step explanation:

We want to find the ratio of Jeanne's tickets to Jake's tickets

Jeanne's tickets: Jake's tickets

15:36

We can simplify this ratio by dividing each side by 3

15/3:36/3

5:12

Answer:


Step-by-step explanation:

15:36

simplifies to

5:12

Jeanne: Jake

Out of 75 students, 15 are on the student council. What percent of the students are NOT on the student council?

Answers

Answer: 80%

15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.

An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.

Final answer:

To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.

Explanation:

To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.



Number of students on the student council: 15

Total number of students: 75



Number of students NOT on the student council: 75 - 15 = 60



Percentage of students NOT on the student council: (60/75) * 100 = 80%

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Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of garlic in every 900 mL of sauce.
A) its too garlicky
B) its not garlicky enough
C)it is perfect

Answers

Answer:

B) Not Garlicky enough.

Step-by-step explanation:

You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.

B) not garlicy enough

need help with these questions. show work to plzzzz

Answers

[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]

[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]

Tessa drew a scale drawing of the elementary school. She used the scale 1 centimeter : 7 meters. The school yard is 7 centimeters in the drawing. How wide is the actual school yard?

Answers

the school yard would be 49 meters wide

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

If 1cm = 7m

then:

7c = 49m

Please help with this word problem

Answers

Is gonna be theis gonna be multiple and diveded by 5

1/2 x 4 + 1/2 x Z

A. 4(1/2 + Z)

B. Z(1/2 x 4)

C. 1/2 x (4 + 1/2) x Z

D. 1/2(4 + Z)

Answers

Answer:

D. 1/2(4 + Z)

Step-by-step explanation:

1/2 x 4 + 1/2 x Z

We can factor out a 1/2 since it is in both terms

1/2 (4+z)


[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]

write an equation of the line that passes through (2,-5) and is parallel to the line 2y=3x+10

Answers

Answer:

y=3/2+5

Step-by-step explanation:


Answer:

[tex]\frac{3}{2}x^{2} +5x-21[/tex]

Step-by-step explanation:

put into y=mx+b form

Please help
The tape diagram

Answers

It is b and w = 15 and ya
the answer is b because you can see that the big rectangles are of equal size

The results for a survey of 130 students who were selected randomly are listed below:

•70 students have a cell phone plan with company X
•32 students have a cell phone plan with company Y
•28 students do not have a cell phone
The total population of students was 390. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company X?

A) 210
B) 96
C) 84
D) 724

Answers

Answer:

A) 210

Step-by-step explanation:

The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130

P(x) = 70/130

The number of students with cell phone  company x is  found by multiplying the total number of students times   the percentage of students with company x

Students with company x = total * P(x)

                                          = 390 * 70/130

                                             = 210

Answer:

A) 210

Step-by-step explanation:

70 students have company X, out of the sample size 130. This forms the fraction 70/130.

n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390

Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n

Doing all that gives us the following

70/130 = n/390

70*390 = 130*n ..... cross multiply

27300 = 130n

130n = 27300

130n/130 = 27300/130 ...... divide both sides by 130

n = 210

Out of the entire population, the best approximation to the number of students who have company X is 210 people.

A. F(x) < 0 on the interval x < 0.
B. F (x) > 0 on the interval x <0.
C. F (x) < 0 on the interval 0 < x < 1.
D. F (x) > 0 on the interval 0 < x < 1.
E. F (x) < 0 on the interval 1 < x < 3.
F. F (x) > 0 on the interval 1 < x < 3.
G. F (x) < 0 on the interval x > 3.
H. F (x) > 0 on the interval x > 3

Answers

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.


A. F(x) < 0 on the interval x < 0.     TRUE

B. F (x) > 0 on the interval x <0.      FALSE

C. F (x) < 0 on the interval 0 < x < 1.      TRUE

D. F (x) > 0 on the interval 0 < x < 1.      FALSE

E. F (x) < 0 on the interval 1 < x < 3.     FALSE

F. F (x) > 0 on the interval 1 < x < 3.      TRUE

G. F (x) < 0 on the interval x > 3.     TRUE

H. F (x) > 0 on the interval x > 3.      FALSE    

William was going to sell all his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 6 more. How many did he start with if he now has 32?

Answers

Answer:52 stamps


Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52


Final answer:

Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.

Explanation:

Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:

(x/2) + 6 = 32(x/2) = 32 - 6(x/2) = 26x = 26 * 2x = 52

Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.

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Molly basic cell phone plan charges $35.99 for service plus $0.18 per minute beyond the included 250 minutes in the plan. How much will it cost Molly if she used her cell phone for 390 minutes in one month?

Answers

Her cell phone bill will cost her $61.19

Answer: Her cell phone bill will cost her $61.19

Step-by-step explanation: If it cost 0.18 per min make sure you read the question right

Which inequality is true? A. |-15| > |-19| B. |-16| < |13| C. |-15| > |12| D. |12| < |-8| E. |-19| > |-20|

Answers

C. is the answer.
The modulus or absolute value function of a real number x is the non-negative value of x without regard to its sign.
The only correct option is C. because 15 is indeed greater than 12.
Options A., B., D. and E. are wrong.

Answer: C


Step-by-step explanation: |-15| is 15. |12| is 12. 15 is greater then 12.


FIRST ANSWER WILL BE BRAINLIEST!!

prove that the sum of the measures of the interior angles of a triangle 180 degrees be sure to create and name in the appropriate geometric figures

Answers

Answer:


Step-by-step explanation:

if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees

Poof:

Draw line a through points A and B. Draw line B through point C and parallel to line a

Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.

it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees

Thus <]ABC + <)BCA + <)CAB = 180 degrees

Lemma:

if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.


Step-by-step explanation:

Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°

Construct a straight line DE running parallel to BC and passing though A.

Now let

∠BAC = 1

∠ABC = 2

∠ACB = 3

∠DAB = 4

∠EAC = 5

Therefore we know that

∠DAB = ∠ABC (alternate angles), so 4 = 2

∠EAC = ∠ACB (alternate angles), so 5 = 3

Now line CE is straight line and we know that angle for a straight line 180°.

Thus ∠DAB + ∠BAC + ∠EAC  = 180°

or      ∠ABC + ∠BAC + ∠ACB =  180°

or          ∠A + ∠B + ∠C = 180°

Thus proved.

Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds.


What is the percent error in Charlie’s guess, to the nearest tenth of a percent?


A: 0.05%

B: 0.5%

C: 5.2%

D: 5.5%

Answers

Answer:

d 5.5


Step-by-step explanation:


Answer:

D: 5.5%

Step-by-step explanation:

Please answer question ASAP!!!!


Points I will give:25

Answers

I say the answer would be H. 52.335seconds

Which is an example of dealer incentives? A. Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000. B. Sun car dealers pay $21,000 to Galaxy car manufacturers for a car worth $20,000. C. Sun car dealers pay $20,000 to Galaxy car manufacturers for a car worth $20,000.

Answers

A. the dealer pays less for the car to be able to make a profit when they sell the car to the consumer

Answer: A. Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000.

Step-by-step explanation:

Hi, "dealer incentives" for this case mean that a car dealer pays a reduced price for a car. This incentive allows the car dealer to make a profit.

To be an example of dealer incentive the option must state that the car dealer makes a profit.

So, with this information analyzed the correct option is A."Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000" because this option states that the Sun car dealers make a profit of $2000.

Feel free to ask for more if it´s necessary or if you did not understand something.

Write a fraction with a decimal value between 1/2 and 3/4. Right both the fraction and the equivalent decimal.

Answers

Answer:

3/5 = .6

Step-by-step explanation:

1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.

.60 in fraction form is 60/100. We can simplify this down to 3/5.

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