1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth

a. sinθ=−0.763; tanθ=−1.181

b. sinθ=−0.763; tanθ=−0.847

c. sinθ=0.763; tanθ=0.847

d. sinθ=0.763; tanθ=1.181


2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate

a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.

b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.

Answers

Answer 1

Answer:

d.) sinθ=0.763; tanθ=1.181

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

Step-by-step explanation:

Given that:

θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.

Cosθ = 0.646

Θ = Cos^-1(0.646)

θ = 49.75930

Hence,

Tanθ = tan(49.75930) = 1.1816365 = 1.182

Sinθ = sin(49.75930) = 0.7633373 = 0.763

2.)

Let

Walking rate = x mph

Running rate = x + 4 mph

21 miles run time = 9 miles walk time

Recall :

Time = distance / speed or rate

21 / (x + 4) = 9 / x

Cross multiply :

21 * x = 9(x + 4)

21x = 9x + 36

21x - 9x = 36

12x = 36

x = 36 /12

x = 4 mph = walking rate

Running rate = x + 4 = 4 + 4 = 8 mph


Related Questions

Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles

Answers

Answer:

A.

Step-by-step explanation:

Both are positive values, so it's just four blue plus eight blue.

Please answer right brineliest to wover right

Answers

Answer:

10

15

-5

-35

-30

0

Step-by-step explanation:

Step-by-step explanation:

A: 10 degrees

B: 15 degrees

C: -5 degrees

D: -35 degrees

E: -30 degrees

F: 0 degrees

Michael deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 6 years?

Answers

Answer:

$3360 in the first 6 years.

Step-by-step Explanation:

To get the answer, you need to do 3000 x 2%. That would get you 60. Then, you multiply 60 x 6 (6 for the 6 years) which would be 360. Finally, you add 360 to 3000 and your answer would be $3360.

Select the domain and range of the function f(x)=7x5 .

Answers

Domain is -infinite, infinite
Range is 35

In ΔIJK, k = 26 cm, ∠I=135° and ∠J=11°. Find the length of i, to the nearest centimeter.

Answers

Answer:

33 cm

Step-by-step explanation:

Given

Triangle IJK with:

Side k = 26 cm, ∠I = 135°, ∠J = 11°To findThe length of side iSolution

Find angle K:

∠K = 180° - (135° + 11°) = 34°

Use the low of sines to findthe value of i:

i/sin I = k/sin Ki = k sin I / sin Ki = 26 * sin 135° / sin 34° = 33 cm (rounded to the whole number)

I need help please!!!!

Answers

Answer:

A) intersecting, 1 solution

B) Same Line, infinite number of solutions.

Aliyah spent $27 on nine fancy pens.
How much did each pen cost?

Answers

Answer:

3 dollars

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

27/9

How many miles are in 1019 kilometers

Answers

Answer:

There are 633.177245 miles in 1019 km.

Mr. George has 5 bookcases in his classroom. Each bookcase has 3 shelves. Each
shelf has 20 books. How many total books are on Mr. George's 5 bookcases?
CLEAR
SUBMIT
300 books
160 books
100 books
60 books

Answers

Answer:

300

Step-by-step explanation:

Marco recorded the cost of jeans at several stores in the mall:
$45, $65, $75, $45, $97, $88, $52, $67, $99, $35
Find the mean price of jeans at the mall.

Answers

i think the answer is sixty-five

Answer: 66.8
Mean Def: A mean is a average in a number to get the average you add up all the numbers and divide it by how many numbers their are.
Explanation:
All together the numbers equal 668.
How many numbers: 10
668/10=

66.8

GUYS PLS HELP 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

(-3, 5) lie in the 2nd quadrant and it is given by point A

please help! which expression is equivalent to (-√-1)?
A: i^31
B: i^29
C: i^24
D: i^18

Answers

Answer:

Here Is Your Answer i^31

Cedric has a credit card with a line of credit at $4,000. He made the following purchases: $425.36, $358.33, $377.11, and $90.20. What is Cedric's available credit?

Answers

Answer:

2,749

Step-by-step explanation:

adding all of the purchases = 1,251 so 4,000-1,251=2,749

Suppose the heights (in inches) of adult males in the United States are normally distributed with a mean
of 71 inches and a standard deviation of 3 inches.
Find the percent of men who are no more than 65 inches tall.
The percent of men who are 65 inches tall or below is
%.

Answers

iyyjj woo hoo wia then 15%

Percy buys tomatoes that cost $0.56 per pound. He pays $2.52 for the tomatoes.


Part 1 out of 3

Percy estimates he bought 5 pounds of tomatoes. Is Percy's estimate reasonable? Complete the explanation.


Use compatible numbers to estimate how many pounds of tomatoes he can buy.


{Answer choices: 25, 5, 35} tenths divided by {Answer choices: 5, 25, 10} tenths is __. His estimate {Answer choices: is reasonable, is not reasonable}

Answers

Answer:

1) We know that tomatoes cost 56c per the pound, and he estimates that he bought 5 pounds of tomatoes. If we multiply 5 by 0.56 we get 2.8, which means that if he purchased 5 pounds of tomatoes, he would have spent only 20c more than he did, which is pretty close. So yes, his estimate is reasonable

2) Well, i dont hav any clear amount of money he can spend so, just remember, if you have 3 pounds per say, you multiply 3 by 0.56. And then you can find your answer

Hope that this helped to some extent!

Answer:

Step-by-step explanation:

Answer choices: 25, 5, 35} tenths divided by {Answer choices: 5, 25, 10} tenths is __. His estimate {Answer choices: is reasonable, is not reasonable}

Help me with this pls!!

Answers

Answer:

5 3/4 hours

Step-by-step explanation:

They drove 3 1/2 hours then  2 1/4 hours. We need to find the total of these to find how long this part of the trip was

(3 + 1/2) + (2 + 1/4) = 5 + 1/2 + 1/4

For 1/2, we can multiply both the numerator and denominator by 2 to get

1/2 = 2/4

Substituting that in, we get

5 + 2/4 + 1/4

= 5 + 3/4 hours

Which expression shows the result of applying the distributive property of 3(2x – 6)?
(NEED ANSWER QUICK!)

52 - 3
20 – 18
62 - 6
6.2 – 18

Answers

Answer:

6x - 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Step-by-step explanation:

Step 1: Define

3(2x - 6)

Step 2: Expand

Distribute 3:                    3(2x) + 3(-6)Multiply:                          6x - 18

Step-by-step explanation:

[tex] \huge3(2x - 6) = 6x - 18[/tex]

(6x-18) is the right answer.

the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet

Answers

Answer:

vbhjnkmlnkbjvhcgfdxgcvhbjnncnng

Step-by-step explanation:

cxvcxbvcbcvbvcbcvbvcvbb

Answer:

thanks

Step-by-step explanation:

Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answers

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275? A. 45m - 30/4 _> 275 B. 45m/4 - 30 _>275 C. 45m - 30/4 _< 275 D. 45m/4 - 30 _< 275​

Answers

Answer:

The answer is actually A) 45m-30/4 ≥ 275

Step-by-step explanation:

It says, "of the total earnings", so after they took off the 30 dollars, they split it between themselves. Hope this helps ;)

if we just passed a sign which says that harrison is 25 miles away and turkey is 40 miles ahead, how far will we have to go to be halfway between turkey and harriso

Answers

Answer:

You will need to go 7.5 miles to be halfway between Harrison and Turkey

Step-by-step explanation:

If you see a sign saying that Harrison is 25 miles away and that Turkey is 40 miles ahead, then the distance from Harrison to Turkey must be 40 miles - 25 miles = 15 miles.

If you drive up to be halfway between Harrison and Turkey, then you need to travel 15/2 = 7.5 miles.

You will need to go 7.5 miles to be halfway between Harrison and Turkey

Which value is the same as 6 tenths?

Answers

Answer:

6/10 or 0.6

Step-by-step explanation:

Answer:

0.6 or 60%

Step-by-step explanation:

Help please.
state the scale factor.

Answers

Answer:

1.25

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

It is 1.25 because take two of the same sides, I will use 15.5 and 12.4 as an example. If you divide 15.5 by 12.4, you get 1.25. To check the answer just do the same for another side. <3

What is the perimeter of polygon LMNPQ

Answers

Answer: c for maps

Step-by-step explanation:

17.66 units is the perimeter of the polygon.

What is Perimeter?

The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.

To find the perimeter of the polygon LMNPQ, we need to add up the lengths of all the sides.

The distance formula for finding the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y-2 - y-1)^2)[/tex]

Using this formula, we can find the lengths of each side of the polygon:

[tex]LM = \sqrt{(2 - 4)^2 + (4 - 2)^2} = \sqrt{8}\\MN = \sqrt{(5 - 2)^2 + (8 - 4)^2} = \sqrt{25}\\NP = \sqrt{(8 - 5)^2 + (4 - 8)^2}= \sqrt{25}\\PQ = \sqrt{(6 - 8)^2 + (2 - 4)^2} = \sqrt{8}\\QL = \sqrt{(4 - 6)^2 + (2 - 2)^2} = 2[/tex]

Therefore, the perimeter of the polygon LMNPQ is:

Perimeter = LM + MN + NP + PQ + QL

= √8 + √25 + √25 + √8 + 2

≈ 2.83 + 5 + 5 + 2.83 + 2

≈ 17.66

So, the perimeter of the polygon LMNPQ is approximately 17.66 units.

Learn more about perimeter here:

https://brainly.com/question/6465134

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What is the reciprocal of 5/4

Answers

Answer:4/5

Step-by-step explanation:

U know it's baby #####

a - 48 = 18
What is a?

Answers

Answer:

A=66

Step-by-step explanation:

Answer:

a=66

Step-by-step explanation:

You do an inverse operation to find your answer, in this case it is addition, so you add 48 and 18 to get 66!

Compute the mean of the following population values:

6, 3, 5, 7, 6.

Answers

Answer:

The mean (average) is 5.4 or 5 if you're rounding.

Step-by-step explanation:

Mean is the average of all of the numbers.

Add them up: 6+3+5+7+6 = 27

Divide 27 by the amount of numbers you have(5): 27/5

Solve: 5.4

The mean of the given values 6, 3, 5, 7, and 6 will be 5.4.

What is mean?

mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Given the data set;

6, 3, 5, 7, 6

Mean = (sum of data) / (number of data)

Mean = (6 + 3 +  5 + 7 + 6)/5

Mean = 27/5

Mean = 5.4

Hence the mean will be 5.4.

For more about mean

https://brainly.com/question/17060266

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Find parametric equations which describe each curve. No particular orientation is required.

a. The line containing the points (1, 2) and (-3,8).
b. The circle with radius 3 and center (4,1).

Answers

Answer:

The equation of the line is [tex](x(t),y(t))=(1-4t,2+6t)[/tex] and the equation of the circle is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].

Step-by-step explanation:

(a) Given: The given points are [tex](1,2)[/tex] and [tex](-3,8)[/tex].

To find: The parametric equation of line containing points [tex](1,2)[/tex] and [tex](-3,8)[/tex].

We know that the parametric equation of line containing [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is given by [tex](x(t),y(t))=(x_{1}+(x_{2}-x_{1})t,y_{1}+(y_{2}-y_{1})t)[/tex] where [tex]t[/tex]∈[tex][0,1][/tex].

Now, [tex]x(t)=1+(-3-1)t[/tex]

i.e, [tex]x(t)=1-4t[/tex]

And, [tex]y(t)=2+(8-2)t[/tex]

i.e, [tex]y(t)=2+6t[/tex]

Hence, the required parametric equation of the line is [tex](x(t),y(t))=(1-4t,2+6t)[/tex].

(b) Given: The radius of circle is 3 and centre is [tex](4,1)[/tex].

To find: The parametric equation of circle with radius 3 and centre [tex](4,1)[/tex].

We know that parametric equation of circle with radius [tex]r[/tex] and centre [tex](h,k)[/tex] is given by [tex]F(t)= (x(t),y(t))[/tex] where [tex]x(t)=rcos(t)+h[/tex] and [tex]y(t)=rsin(t)+k[/tex].

Now, [tex]x(t)=3cos(t)+4[/tex]

[tex]y(t)=3sin(t)+1[/tex]

So, the parametric equation of circle having radius 3 and centre [tex](h,k)[/tex] is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].

Hence, the required equation of the circle is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].

What is 10 divided by 5/8

Answers

Answer:

its 16 lol

Step-by-step explanation:

I just did the math

16

16 is the answer
hope i helped. have a good day

Please help me,I will be very grateful

Answers

Answer:

Step-by-step explanation:

thank you for your regarding..

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