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.
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 i’m stuck i’ll give brainliest
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
find the slope please
The slope of the line is 2.
The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.
May I have brainliest please? :)
Which is the percent for 1.67
Answer:
167%
i thank that is the anserr.
Step-by-step explanation:
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
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Solve for x.
-1+4x5= 3
Answer:
[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] - 1 + 4x.5 = 3[/tex]
[tex] = > 20x - 1 = 3[/tex]
[tex] = > 20x = 3 + 1 = 4[/tex]
[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A.
left
B.
down
C.
up
D.
right
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
✓D. right
Right is the right answer.
Answer:
Down
Step-by-step explanation:
I took the test and got it right
what is the y-intercept of the following equation
Which fraction is equal to 30%?
A.
30
100
B.
100
300
C.
100
30
D.
3.0
100
Answer:
A. 30/100
Step-by-step explanation:
All you have to do is divide the numerator by the denominator and then multiply that result with 100 like so:
(Numerator/Denominator)*100
When you enter 30/100 into the above formula, you get (30/100)*100 which calculates to:
30%
Good Luck!
Answer:
1. 30/100
Step-by-step explanation:
Convert fraction (ratio) 30 / 100 Answer: 30%
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
HELP PLEASE
Determine the length of a chord whose central angle is 65° in a circle with a radius of 9 feet.
Question 5 options:
1)
4.84 feet
2)
9 feet
3)
9.67 feet
4)
8.16 feet
Answer:
3)
9.67 feet
Step-by-step explanation:
The length of the chord is approximately 8.16 feet. The correct option is 4.
What is the length of the chord of the circle?A line segment connecting two points on a circle is referred to as a circle's chord in geometry. The circle's center is traversed by the longest segment that can be drawn between any two points on the circle.
To get the chord's length, we can utilize the formula for a circle's chord length. The equation is:
Length of chord = 2r sin(θ/2)
where r is the circle's radius, is its radian central angle, and sin is the sine function.
First, we need to convert the central angle from degrees to radians:
θ = 65° = (65/180)π = 1.14 radians
Now we can plug in the values:
Length of chord = 2(9 feet) sin(1.14/2) ≈ 8.16 feet
Therefore, the length of the chord is approximately 8.16 feet.
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Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Find the value of x in the triangle shown below 9 12
Can y’all plz help me
Answer:
D. 10
Step-by-step explanation:
Assuming that <COA is a right angle, we can say that the two given angles are complementary
complementary angles are angles that add up to 90 degrees
this means we can create this equation: 3x + 46 + 14 = 90
so subtract 46 and 14 from 90: 3x = 30
divide both sides by 3: x = 10
Answer:
I think that it is letter D
Step-by-step explanation:
sorry if im wrong. but i hope this helps! :)
Which statement describes data that is normally distributed?
A.
The majority of the data is to the left of the mean.
B.
The majority of the data is to the right of the mean.
C.
The majority of the data is in the center with the mean.
D.
The majority of the data is split to the right and left of the mean.
Please explain and no answering just for points.
Answer: D.) The majority of the data is split to the right and left of the mean
Jada’s lawn mowing service charges $28 per hour plus a $20 fee to cover gas for the mower. Mai’s lawn service charges $16 per hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?
Answer:
5
Step-by-step explanation:
JADA MAI
1. 48 60
2. 68 76
3. 88 92
4. 108 108
so its 5
Answer:12 hour
Step-by-step explanation:they ask For how many hours will Jada’s service be cheaper than Mai’s its 12 if you subtract 60-48 which is how much jade and mai is paying you have 12 and thats with the fee without the fee it would still be 12 becuase thats how much hours they put into it
Р
D
Which of the statements describe the transformation on
the left? Check all that apply.
NOPQR-N'O'P'Q'R'
ONOPQR-→ NOPQR
O QRNOP → R'N'O'P'Q'
NOPQR maps to N'O'P'Q'R'
O QPONR maps to Q'P'O'N'R'
N
R
N
R
The statements which describe the transformation on the left are:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'What is a transformation?A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.
Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'Read more on transformation here: https://brainly.com/question/12040896
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Answer: a,b,d that´s the answer
Step-by-step explanation
Can anyone please help me?
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
pls help a.s.a.p!!!!!
Answer:
The correct answers are A and E
Step-by-step explanation:
H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
Find the value of x.
Answer:
[tex]\sqrt{30}[/tex]
A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp
Answer:
Step-by-step explanation:
12,345/60=205.75 hours
l
safe to say 205 hours and 45 minutes
12 AM January 2nd 24 hours
12 AM Jan 3rd 48 hours
......
12 Am Jan 9th 192 h
it is Jan 9th, 1:45 PM
The date and time 12,345 minutes after the start of the new year will be 9 January.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A new year begins at 12:00 AM on January 1.
The number of days in time 12,345 minutes will be
⇒ 12345 / (60 x 24)
⇒ 8.5729 days
Then the date and time 12,345 minutes after the start of the new year will be 9 January.
More about the Algebra link is given below.
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What will be the equations for the justification.
Answer:
The expression is: [tex]-30n + 70 = -80[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
Multiply both sides by 3
[tex]3 * n = 5 * 3[/tex]
[tex]3n = 15[/tex]
Subtract both sides by 7
[tex]3n - 7 = 15 - 7[/tex]
[tex]3n - 7 = 8[/tex]
Multiply both sides by -10
[tex]-10(3n - 7) = -10*8[/tex]
[tex]-30n + 70 = -80[/tex]
To verify: Substitute 5 for n
[tex]-30 * 5 + 70 = -80[/tex]
[tex]-150 + 70 = -80[/tex]
[tex]-80 =-80[/tex] ---- Verified
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
Please help this is for a grade and I need it answered soon
Answer:
option D
Step-by-step explanation:
5c(3c²)³
5c(27c^6)
135c^7
