Answers
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
Related Questions
This line plot shows how many hours of homework twelve students have.
Answers
Answer:
A. 2 1/2 hoursStep-by-step explanation:
This is about the range of the data.
The student with the most homework spent 4 1/2 hours and the student with the least homework spent 2 hours.
The difference is:
4 1/2 - 2 = 2 1/2 hoursCorrect choice is A
Answer:
2 ¹/₂ hours
Step-by-step explanation:
From inspection of the given line plot:
Most number of hours of homework = 4 ¹/₂Least number of hours of homework = 2To find the difference between the most and least number of hours of homework, subtract the smaller number from the larger number:
[tex]\sf \implies 4 \frac{1}{2} - 2 = 2 \frac{1}{2}[/tex]
Therefore, the difference, in hours, between the student with the most homework and the student with the least homework is 2 ¹/₂ hours.
which question is not a statistical question?
How many vehicles do Boston residents have per household?
How much money do Boston residents spend on transportation every day?
How many Boston residents use public transportation?
How many times per month do Boston residents use public transportation?
How long does it take for Boston residents to travel to work?
Answers
Answer:
How many Boston residents use public transportation
Step-by-step explanation:
Answer:
D. How many times per month do Boston residents use public transportation
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.statistical meaning of, relating to, based on, or employing the principles of statistics statistical analysis. Other Words from statistical More Example Sentences
At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?
Answers
Answer:
honestly I really don't know but I think it is 12 colers
Answer:
Yes,the kits have the same ratio of acrylic paints to watercolor paints.
Step-by-step explanation:
12:24
12÷12=1
24÷12=2
1:2
8:16
8÷8=1
16÷8=2
1:2
Which graph best represents the solution to the following pair of equations?
y = −x − 5
y = 2x + 4
Answers
Answer:
Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.
Step-by-step explanation:
Obviously, the appropriate graph will be one with the two lines plotted. Properly plotted, they will intersect at (-3, -2).
The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip?
Answers
Answer:
10 busses
Step-by-step explanation:
285÷30=9.5
9.5 would round up to 10
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
Answers
The equation will be [tex]y=40000+16000*x[/tex]
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Plz help me well mark brainliest!
Answers
Answer:
c
Step-by-step explanation:
there's 6 squares
Answer:
the answer for this question is C
Convert to rectangular
Answers
When convert it into rectangular form we get x=-1/2 and y=0.
How to convert polar to rectangular form?To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:
[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]
Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.
Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:
[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]
Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.
In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.
What is 1 in polar co-ordinate?The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).
To convert it into rectangle equation we have
[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
Answer: x = 13 and x = –29
Step-by-step explanation:i hope i help you
Answer:
To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.
Now, you can add 14x and 49 to both sides to get x^2 = 50.
To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).
And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.
Step-by-step explanation:
Write the coordinate of the vertices after a translation 8 units left and 13 units down. S(0,10). T(8,10) U(1,5)
Answers
Answer:
S(-8,-3), T(0, -3), and U(-7, -8)
Step-by-step explanation:
for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.
in the number 4105 how many significant figures
Answers
Answer:
There are 4 significant figures in the number 4105
Hope this helps!
Mark me brainliest if I'm right :)
Answer:
4 significiant figures
Step-by-step explanation:
please mark this answer as brainliest
Please Help! Need this to pass :/
Answers
Answer:
63°
Step-by-step explanation:
...................................
draw and divide a rectangle to show each product use a distributive property to find the product 5×14
Answers
The product of 5 and 14 using the distributive property is 70.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
For three numbers a, b and c, Distributive property states that,
a (b + c) = a b + a c
We have to find the product 5 × 14 using distributive property.
5 × 14 = 5 (12 + 2)
Using distributive property,
5 × 14 = (5 × 12) + (5 × 2)
= 60 + 10
= 70
Hence using distributive property, we can find the product of 5 and 14 as 70.
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A rectangle has a
length of (2x+1) ft and width of (3x-15) ft. What is the area of the rectangle?
Answers
Answer:
6x^2-27x-15
Step-by-step explanation:
Area of rectangle: length x width
Area=(2x+1)(3x-15)=6x^2-27x-15
HELP APA!! I will mark Brainlist THANK YOU!
Answers
Answer/Step-by-step explanation:
According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.
In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.
Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD
1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4
Answers
On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
So, the equation is
[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]
and x=y=1
so, 648/1296 = 0.5
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12 pounds of corn cost Marcus $15.60. How much would five pounds of corn
cost at the same unit rate?
Answers
Answer:
$6.30
Step-by-step explanation:
Alright, so, to find the unit rate (how much 1 pound of corn would cost) you would divide $15.60 by 12 which would get you $1.30.
Cost of 1 pound of corn = $1.30
So the unit rate = $1.30
Now that you know the unit rate, or how much 1 pound would cost, you can find out how much 5 pounds would cost:
$1.30 x 5 = $6.50
Steps:
1. $15.60/12 = $1.30
2. $1.30 x 5 = $6.50
Five pounds of corn costs $6.50 at a unit rate of $1.30.
Hope this helps! :)
A surveyor measures from a point on the ground level that is 40 feet away from the building. the surveyor noted that the angle formed by the ground and the line of sight to the top of the building is 30°. how tall is the building?
Answers
Answer:
sory
Step-by-step explanation:
Write down the gradient of a line parallel to the line drawn below...
Answers
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,
[tex]\implies \rm Slope (m) = (-1)[/tex]
And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.
[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]
Hence the gradient of the line is (-1) .
Bookerville has a record of 12 inches of rain in 5 days. How much will it have to rain on Friday to beat the record by one tenth of an inch
Answers
The amount of rain required would be 2.5 inches.
What is the addition?
Addition is a mathematical operation that represents the process of combining two or more numbers together. The result of this operation is called the sum. The addition operation is often represented using the symbol "+", and it can be used to add any two or more numbers together.
To beat the record by one-tenth of an inch, an additional 0.1 inches of rain must fall.
Currently, the average amount of rain per day is 12 inches / 5 days = 2.4 inches per day.
So, the amount of rain that must fall on Friday to beat the record by one-tenth of an inch is 2.4 inches + 0.1 inches = 2.5 inches
Hence, the amount of rain required would be 2.5 inches.
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Does the table below represent a proportional relationship? DUE PLSS
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
Answers
Answer: The answer to your question is the letter B. May want to assess it before answering.
if 11 is to 22, and 22 to 242, then from 242 to what
Answers
Answer:
it's equal to = 242 =484. I think so that's the right answer please
Hi Mhanifa, can u answer my last post/question? This is my last question btw. Thank you for all. You helped me a lot.❤️
find the area of each shaded region
Answers
Answer:
#712*16 - 1/2*12*14 = 108 cm²#81/2*10*4 - 1/2*5*3 = 12.5 cm²#93.14(4² - 2²) = 37.68 in²#1010² - 3.14*10²/4 = 21.5 cm²#116² - 3.14*6²/4 = 7.74 m²#123.14(4²/2 - 2²) = 12.56 cm²#131/2(12 + 20)*12 - 12² = 48 cm²#143.14(14² - 7²) = 461.58 cm²write in terms of i
simplify your answer as much as possible
Answers
Decide if each statement correctly describes a relationship between the categories.
Choose Yes or No for each statement.
Answers
Answer:
1.no,2.yes 3.yes 4.no
Step-by-step explanation:
rhombuses are subcategories of squares. some isosceles triangles have angles more than 90 degrees or 90 degrees exact
-3/5(1+5n) =102
Solve for n
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7/8 x 14) / (3/8 x 6) + 2 1/5
Answers
answer to this question is simple 7 4/9
if 2c - d = 3d - 2c, what is d in terms of c
Answers
Answer:
4c=4d
-remember to change the signs/symbols and do the like terms
The fish tank in the library is 3 feet long, 5 feet wide, and 4
feet deep. What is the volume of the fish tank?
PLEASE DONT SEND LINKS!!
Answers
Answer:
3×4×5=60 ft cubed
Step-by-step explanation:
multiply length ×width ×height the answer is in cubic units for volume
Having Substituted the given data into the volume formula, the volume was gotten as 60ft^3
Volume of CuboidGiven Data
Length of tank = 3 feetWidth = 5 feetDepth = 4 feetThe expression for the volume of a tank is given as
Volume of tank = Length *widht*Height
Substituting our given Data into the expression for the volume formula we have
Volume of tank = 3*5*4
Volume of tank = 60ft^3
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Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
Find the unit rates
Compare the unit rates
-help please-
Answers
Answer:
Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
The car is faster
Find the unit rates
The car is going 30 feet in 1 second(600 divide by 20 = 30)
The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)
Compare the unit rates
30 > 25
Step-by-step explanation:
Answer:
Hakim's car is faster.
Step-by-step explanation:
Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.
So for Hakim, the unit rate are 30 feet per second because 600/20 = 30
For Andre, the unit rate is 25 feet per second because 600/24 = 25
Hakim's car goes faster because 30 is greater than 25.