The quadrant in which the angle θ lies when sin θ > 0 and cos θ < 0 will be
in the second quadrant
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
In the first quadrant, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sin is positive.
In the third quadrant going anti-clockwise, only tan is positive.
In the fourth quadrant going anti-clockwise, only cos is positive
Given data ,
Let the angle be θ
Now , the sin of the angle θ is positive and cos of the angle θ is negative
The equation is given as
sin θ > 0 and cos θ < 0
And , from the trigonometric relations , we know that
In the first quadrant, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sin is positive.
In the third quadrant going anti-clockwise, only tan is positive.
In the fourth quadrant going anti-clockwise, only cos is positive
So , in the second quadrant only sin is positive and all the other trigonometric relations are negative
Therefore , the quadrant where sin θ > 0 and cos θ < 0 will be in the second quadrant
Hence , The quadrant in which the angle θ lies when sin θ > 0 and
cos θ < 0 will be in the second quadrant
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SOMEONE HELP PLEASE EXPLAIN THE ANSWER
You roll a die twice.
What is the probability of rolling a number greater than 2 and then
rolling a number less than 6?
Answer:
The probability the chances are there is an even chance
Step-by-step explanation:
also if you can plz help on this question
Sharecropping agreements were written in such a way that generally favored the sharecropper.
true or false
Lucius sells jellyfish jam part-time. He is paid a monthly commission. He receives 30% of his first $900 in sales and 25% of the rest of his sales. Last month he sold $2,600 worth of jam. How much commission did he earn last month?
Answer:
695
Step-by-step explanation:
First I would septate the 900 from the 2600
2600-900=1700
Then I'll take both %s and turn them to decimal 25%-0.25 30%-0.30
I take the 900 times the 0.30 and the 0.25 times 1700
900x0.30=270
1700x0.25=425
then add them both together
270+425=695
4. Are the triangles below similar? Explain
your reasoning.
Answer:
No, the triangles are not the same because the angles within in the triangle are different making the sides different lengths making the triangle a different type
What's another way to define absolute value?
The opposite of a number
The multiplicative inverse of a number
The distance of a number from zero
a. n
The value of a number
Answer:
the distance of a number from zero
Step-by-step explanation:
in other words, it is the positive value of the number.
if the number is negative then the absolute value is the positive of it.
if the value is positive, then it is still positive.
(13.04 LC)
What unit of measurement would you use to measure the capacity of a juice
box?
Yards
Liters
Milliliters
Meters
Find the function h(x) = f(x) + g(x) if f(x) = 4^x + 2 and g(x) = x - 4.
h( x) = 4 x + 1 -2
h( x) = 4 x + x + 6
h( x) = 4 x - 4
h( x) = 4 x + x - 2
Answer:
h( x) = 4^x + x - 2
Step-by-step explanation:
h(x)=f(x)+g(x)=4^x+2+x-4=4^x+x-2
I am completely lost. I don’t know the answer.
Answer:
when in doubt the answer is always c
Step-by-step explanation:
Step-by-step explanation:
option b.
......................
If x =3 find the value of 140+5x^2
Answer:
140+5x^2
If x =3
140+5(3^2)
3^1=3
3^2=9
So,
140+5(3^2) = 140+5(9)
= 140 +45
= 195
Step-by-step explanation:
The bill for dinner was $31.24. You left $4.76 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
Answer: I believe about 15-16%
Step-by-step explanation: yeah
Please really could use the help
In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.
Answer:
a
Step-by-step explanation:
a
Answer:
31.8, 148.2
Step-by-step explanation:
dont do 31.08, i tried and it marked me wrong :(
brainliest for correct answer
Answer:
the answers are A， B, and E
Step-by-step explanation:
the equation is y=-x+2, so A is right
(y-3)=-(x+1) equals y=-x+2 B is correct
y+1=-x+3 equals y=-x+2 E is correct
15/3 = 45/x
solve for x
Answer:
15/3=45/x
We move all terms to the left:
15/3-(45/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
-(+45/x)+15/3=0
We add all the numbers together, and all the variables
-(+45/x)+5=0
We get rid of parentheses
-45/x+5=0
We multiply all the terms by the denominator
5*x-45=0
We add all the numbers together, and all the variables
5x-45=0
We move all terms containing x to the left, all other terms to the right
5x=45
x=45/5
x=9
Step-by-step explanation:
The class size for 8 classrooms is shown.
14, 22, 24, 25, 25, 28, 32, 34
Which class size affects the range of all 8 classes the MOST?
Answer: The answer is 14
Step-by-step explanation:
The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].
To understand the calculations, check below
Define range.The range of a collection of numbers is the difference between the maximum and smallest values. Subtract the lowest as from highest number in the dispersion to discover it.
True upper limit minus true lower limit of a class interval is known as the class size.
The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].
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If you stand 57 feet from the base of a building, you need to look up at a 55° angle to see the top of
the building. What is the height of the building? Round your answer to the nearest tenth.
A construction company is currently working on six projects. The table shows the progress of each of the projects represented as a decimal.
What is the range of the progress of these projects?
Answer:
Step-by-step explanation:
can u give the answer to the quiz
The range of the project will be equal to 0.82.
What is the range in statistics?When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.
The given data of the project is,
u 0.87
v 0.31
w 0.08
x 0.05
y 0.19
z 0.5
The range will be calculated as the difference between the maximum value to the minimum value.
Range = 0.84 - 0.05
Range = 0.82
Therefore, the range of the project will be equal to 0.82.
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What is 1/2^4 or one over two to the power of four?
Answer:
16 or 1/16
Step-by-step explanation:
1/2)^4 = (1) / 2^4 = 1/16
Which equation matches the given graph?
A. f(x) = x^2 - 2x - 4
B. f(x) = x^2 - 3x + 16
C. f(x) = 2x^2 - 4x - 2
D. f(x) = 2x^2 + 12x + 16
Answer:
B
Step-by-step explanation:
Rectangle ABCD is rotated about the origin to form rectangle A'B'C'D'. The perimeter of ABCD is 16 units.
PLEASE HELPPP
Answer:
16units
Step-by-step explanation:
It was only rotated. It's area and perimeter stay the same.
Answer:
6 units
Step-by-step explanation:
may be this can help you
Original price: $? Discount: 20% Sale Price: $75
Answer:
the answer is 60
Step-by-step explanation:
so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60
given f(x)=-x+2 find f(-6)
Answer:
8
Step-by-step explanation:
Substitute -6 for every x in the equation:
f(-6) = -(-6) + 2
Solve the right side of the equation:
6 + 2
=8
please help i’m so confused
Answer:−x+6
x
Step-by-step explanation:
A square has a side length of x inches. Each side of the square will be increased by 8 inches to create a larger square. If the larger square has a perimeter of 40 inches, what is the side length, in
inches of the original square?
What is the input value when the output value is 31.5?
HELP PLEASE ASAP
Answer:
The correct Answer is 9 my good sir ( or ma'am )
Step-by-step explanation:
Simple, just flip the equation around and change the multiplication sign to a division sign.
So basically with all planks filled in its 9 times 3.5 which is equal to 31.5
Brianliest? :/
Hope I helped
0.36 x 20 = x10
14 divided by 50 = +100
need ASAP please help
Answer:
0.36 × 20 = 7.2
7.2 × 10 = 72
14 ÷ 50 = 0.28
0.28 + 100 = 100.28
PLZ HELP PLZ ITS OVER DUE PLZ HELP A-S-A-P PLZ AND IF YOU DO I WILL MAKE YOURS BREANYEST PLZ HELP
Answer:
3rd one
Step-by-step explanation:
Find the volume of the box
SOMEONE PLEASE HELP ME WITH MATHHHH
The sum of b and its reciprocal
Answer:
(b^2+1)/b
Step-by-step explanation:
The reciprocal of b is written as 1/b
The sum of b and 1/b is expressed as;
b + 1/b
Sind the LCM
= b(b)+1/b
= (b^2+1)/b
Hence the sum of b and its reciprocal is (b^2+1)/b