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
Help me with this pls!!
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
Answer:
6x - 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
3(2x - 6)
Step 2: Expand
Distribute 3: 3(2x) + 3(-6)Multiply: 6x - 18Step-by-step explanation:
[tex] \huge3(2x - 6) = 6x - 18[/tex]
(6x-18) is the right answer.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
%.
Aliyah spent $27 on nine fancy pens.
How much did each pen cost?
Answer:
3 dollars
Step-by-step explanation:
Answer:
$3
Step-by-step explanation:
27/9
I need help please!!!!
Answer:
A) intersecting, 1 solution
B) Same Line, infinite number of solutions.
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).
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].
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
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
Compute the mean of the following population values:
6, 3, 5, 7, 6.
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.
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What is the reciprocal of 5/4
Answer:4/5
Step-by-step explanation:
U know it's baby #####
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
Answer:
300
Step-by-step explanation:
In ΔIJK, k = 26 cm, ∠I=135° and ∠J=11°. Find the length of i, to the nearest centimeter.
Answer:
33 cmStep-by-step explanation:
GivenTriangle IJK with:
Side k = 26 cm, ∠I = 135°, ∠J = 11°To findThe length of side iSolutionFind 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)Which value is the same as 6 tenths?
Answer:
6/10 or 0.6
Step-by-step explanation:
Answer:
0.6 or 60%
Step-by-step explanation:
Please help me,I will be very grateful
Answer:
Step-by-step explanation:
thank you for your regarding..
a - 48 = 18
What is a?
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!
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
Answer:
A.
Step-by-step explanation:
Both are positive values, so it's just four blue plus eight blue.
GUYS PLS HELP 45 POINTS AND BRAINLIEST FOR CORRECT ANSWER!!!!!!!!
Answer:
A
Step-by-step explanation:
(-3, 5) lie in the 2nd quadrant and it is given by point A
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
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
Please answer right brineliest to wover right
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
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) =
Step-by-step explanation:
r(-5) = 2*25 - 2 = 48
Q(-5) = 5 - 1 = 4
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?
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.
How many miles are in 1019 kilometers
Answer:
There are 633.177245 miles in 1019 km.
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.
i think the answer is sixty-five
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?
Answer:
2,749
Step-by-step explanation:
adding all of the purchases = 1,251 so 4,000-1,251=2,749
please help! which expression is equivalent to (-√-1)?
A: i^31
B: i^29
C: i^24
D: i^18
Answer:
Here Is Your Answer i^31
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}
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}
Select the domain and range of the function f(x)=7x5 .
What is the perimeter of polygon LMNPQ
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.
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Help please.
state the scale factor.
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
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
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 ;)
What is 10 divided by 5/8
Answer:
its 16 lol
Step-by-step explanation:
I just did the math