Give each trig ratio as a fraction in its simplest form.
Sin Q = Cos Q = Tan Q = Sin R = Cos R= Tan R=
Answers
Answer:
sin q = 14/50
cos q = 24/25
tan q = 7/24
sin r = 24/25
cos r = 7/25
tan r = 24/7
Step-by-step explanation:
The required trigonometric ratio are as follows;
[tex]SinR= \frac{24}{25}, CosR = \frac{7}{25}, TanR = \frac{24}{7} \\\\SinQ = \frac{7}{25}, CosQ = \frac{24}{25}, TanQ = \frac{7}{24}[/tex]
WE have to determine the trigonometric function in simplest form.
In order to find trigonometric ratio, In right angle triangle QRP.
Length of PR = 14
Length of QR = 50
To find length of PQ using Pythagoras theorem.
[tex](H)^{2} = (P)^{2} + (B)^{2}\\\\(50)^{2} = (14)^{2} + (B)^{2} \\\\B^{2} = 2500 - 196\\\\B^{2} = 2304\\\\B = 48[/tex]
Length of PQ is 48.
Therefore,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)
Then,
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{14}{50}\\\\SinQ = \frac{7}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{48}{50} \\\\CosQ = \frac{24}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{14}{48} \\\\TanQ = \frac{7}{24}[/tex]
And In right angle triangle RPQ,
Sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
[tex]SinQ = \frac{perpendicular}{hypotenuse} \\\\SinQ = \frac{48}{50}\\\\SinQ = \frac{24}{25}[/tex]
The ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
[tex]CosQ = \frac{Base}{hyptotenuse}\\\\CosQ = \frac{14}{50} \\\\CosQ = \frac{7}{25}[/tex]
The tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
[tex]TanQ = \frac{perpendicular}{Base}\\\\TanQ = \frac{48}{14} \\\\TanQ = \frac{24}{7}[/tex]
To know more about Trigonometric function click the link given below.
https://brainly.com/question/20367642
Related Questions
What is sin 45°?
45°
√2
1
90°
45°
Answers
Answer:
sin45°=1/√2 is your answer or √2/2
Please help me with this question!!!!
Answers
Answer:
EH = 13 in
Step-by-step explanation:
Angle between a tangent and radius is right, that is
∠ EBH = 90° and so Δ EBH is right
Using Pythagoras' identity in the right triangle
EH² = BE² + BH² = 5² + 12² = 25 + 144 = 169 ( square root both sides )
EH = [tex]\sqrt{169}[/tex] = 13
Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun.
Answers
Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]
A school sells 712 tickets for a talent show. Adult tickets cost $8 each, and children's tickets cost $4 each. A total of $4,256 is collected
from ticket sales. Which system of equations can be used to determine the number of adult tickets sold, x, and the number of children's
tickets sold, y?
O A. x + y = 712
4x + 8y = 4,256
OB. x + y = 712
8x + 4y = 4,256
C. X + 8y = 712
x + 4y = 4,256
OD. 8x + y = 712
4x + y = 4,256
Answers
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
can you help me please
Answers
Answer:
108.83yd²Use SAS to solve for the area:
((A x B) x sin C) / 2
A: Side 1
B: side 2
C: angle in-between
help with geometry question
Answers
Answer:
Step-by-step explanation:
The area of this parallelogram is
A=hb (height times base)
h=A/b, we see A=14.4mi^2 and b=4.8mi so
h=(14.4mi^2)/(4.8mi)
h=3 mi
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D) 9000 m³
Step-by-step explanation:
volume = 30 x 30 x 10 = 9000 m³
I’m so confused can someone help me?
Answers
Answer:
Step-by-step explanation:
7. 15/10 = 24/18
900 ≠ 240
not similar
8. 4/6 = 9/15
54 ≠ 60
not similar
9. x/24 = 9/40
x= 5.4
10. 8.7/x = 6/16
6x = 139.2
x = 23.2
x = 18.7
11. 24/9 = x/45
9x = 1080
x = 120 feet
Solve. -x < 20
Graph on a number lin
Answers
Answer:
x > -20
Step-by-step explanation:
-x < 20
When dividing by negative numbers, flip the inequality.
x > -20
inclusive -> open circle
greater than -> to the right
open circle at -20 going to the right
The measure of c is
.
Answers
Answer:
10
Step-by-step explanation:
6^2=36
8^2=64
64+36=100
The square root of 100 is 10
Write 10^3 without an exponent
Answers
Answer:
10*10*10
Step-by-step explanation:
10^3 equals 10*10*10
Answer:
3000
Step-by-step explanation:
Distance between 1,-4and 7,-4 on a coordinate grid
Answers
Answer:
6 units.
Step-by-step explanation:
Distance = √ [(7 - 1)^2 + (-4-(-4))^2]
= √(36 + 0)
= 6 units.
Alex scored 70% of 100 in a test What percentage does this represents
Answers
Answer: alex scored a 70 on his test
Step-by-step explanation: Alex scored a 70 on his test because
70%x100= 70
Answer:
70%
Step-by-step explanation:
70/100 is the same as 70%.
Pleaseee if you know this can you please answer I’m struggling really bad
Answers
Answer:
[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{3}[/tex] ⊥ [tex]L_{2}[/tex] ; [tex]L_{1}[/tex] ║ [tex]L_{3}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y = mx + b
"m" is slope
"b" is y-intercept (coordinates are (0, b)
Parallel lines have the same slopes and different y-intercepts.
Slopes of perpendicular lines are opposite reciprocals: [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1
~~~~~~~~~~~~~~~~~~~~~~
[tex]L_{1}[/tex] : y = x + 5 , [tex]m_{L_{1} }[/tex] = 1 , b = 5
[tex]L_{2}[/tex] : y = - x + 7 , [tex]m_{L_{2} }[/tex] = - 1 , b = 7
[tex]L_{1}[/tex] ⊥ [tex]L_{2}[/tex]
[tex]L_{3}[/tex] : [tex]m_{L_{3} }[/tex] = 1 , b = - 2
[tex]L_{1}[/tex] ║ [tex]L_{3}[/tex] and [tex]L_{2}[/tex] ⊥ [tex]L_{3}[/tex]
Plzz help mee!
Diana bought a toy for $13.75. If she paid with a twenty-dollar bill, how much change did she receive?
OA) $7.25
OB) $6.35
OC) $6.25
Answers
Answer:
C) $6.25
Step-by-step explanation:
20-13.75=$6.25
She had $6.25 left over after paying.
Find the measure of x 5.
*5 = [?]
68 112°
112\68
Answers
Answer:
<5=112° corresponding angle
MATH CHALLENGE 30 POINTS
Hey guys, here’s a math challenge for u. Fill in the missing slots. All the rows, columns, and diagonals have to have the same sum. First person to get the correct answer will get brainliest and a thanks. Go!
Answers
Answer:
21 24 9
6 18 30
27 12 15
Step-by-step explanation:
find the value of x and y in the following figure where ABCD is a parallelogram
Answers
Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
Gavin rented a truck for 5 days. The truck
rental company charged him $55.00 per day,
plus $0.15 per mile. The total charge was
$285.20. How many miles did Gavin drive?
Answers
$285.20-275=$10.20
10.20/.15= 68
Answer= 68 miles
Maya is considering three possible shapes for the container that will hold the stones. The shapes are shown below in the diagram. Part A: Find the volume of each shape. Show your work. (use π = 3.14, and write your answer to nearest whole number) Part B: Based on part A, which of these three shapes would be Maya’s best choice for a container for the stones? Enter your answer and explain your answer in the space provided.
Answers
Answer:
wow that's a lot lol
Step-by-step explanation:
i needthe points i'm ssrry
The function f(x) = -(x + 5)(x + 1) is shown.
What is the range of the function?
10
8
O all real numbers less than or equal to 4
O all real numbers less than or equal to -3
O all real numbers greater than or equal to 4
O all real numbers greater than or equal to -3
6
2
-10
-8
4
-2
2
4
8
8
10
X
4
-6
8
-10
Answers
Answer:
a
Step-by-step explanation:
f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)
=-(x+3)^2+4
Range: all numbers ≤4
Last year, 120 new houses were built in a neighborhood. So far this year, 2/3
of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form.
Answers
Multiply the total number of houses built by the fraction sold:
120 x 2/3 = (120 x 2)/3 = 240/3 = 80
80 houses were sold.
New houses sold = 2/3 x 120
= 80 new houses
solve for x help pleaseeeee
Answers
Why? (X+45)+(x-5)+55=180
2x+95=180
2x= 85
X= 42.5
Hope this helps
A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
A) 291
B) 18
C) 200
D) 296
Answers
Can some please answer this
Answers
9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
the answer is B.2 purple
It’s giving me symbols to add
Answers
Answer:
I. Ella packed 70 books more than Ray.
II. Ray packed 580 books.
III. Ella packed 650 books.
Step-by-step explanation:
Given the following data;
Ray = 29 boxes of 20 books
Ella = 26 boxes with 25 books
To find the total number of books packed by Ray;
Total for Ray (Ray packed) = 29 * 20
Total for Ray = 580 books.
To find the total number of books packed by Ella;
Total for Ella (Ella packed) = 26 * 25
Total for Ella = 650 books.
Next, we find the difference between the books packed by Ella and Ray;
Difference = Ella - Ray
Difference = 650 - 580
Difference = 70 books
could you help me? I will go over more than 10 points
Answers
Answer:
1. Cube
2. Triangular Prism
3. 73.5
Step-by-step explanation:
for the third question: 12.25 per square, 6 squares. 12.25 times 6 = 73.5
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answers
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
write the linear equation of the line in slope-intercept form going through points (-2,-3 ) (-3,1)
Answers
Cause you have to find slope with the two points you have
Then substitute one point into the formula with the slope to find y-intercept
Use y2-y1/x2-x1 to find slope
The slope is 4
Now y+3=4(x+2)
Y+3=4x+8
Y=4x+5 is your answer
I hope that helped
Sarah goes to a bakery to buy doughnuts for work.
• Sarah has $55.00 to spend.
• The cost of a doughnut is $0.65.
Which equation models the relationship between the amount of money Sarah has
left, y, after buying x dozen doughnuts?
Answers
Answer:
The equation i came up with is $55= 7.8x - 47.20