The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.
The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.Reasons:
The given parameters are;
The sine value of the given angle = One-half
Required: To select the true statement of the location of the terminal side.
Solution:
Given that sin(θ) = 0.5, we have;
The sine of an angle is positive in Quadrant I and Quadrant II
Given that the value of sin(θ) is positive, we have θ is in Quadrant I or Quadrant IIThe reference angle, is the angle formed between the angle's terminal side and x-axis
By trigonometric ratios, considering the reference angle, we have;
θ = arcsin(0.5) = 30°
Therefore;
The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.
Learn more about trigonometric ratios here:
https://brainly.com/question/2398899
Answer:
a
Step-by-step explanation:
edge
Help me :) Please and Thanks
Answer:
0.65
Step-by-step explanation:
the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest
The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?
x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys
Answer:
36
Step-by-step explanation:
6:8
27/6 = 4.5
8 · 4.5 = 36
Please help!
5^3 x 5^-7
Answer: 0.0016
Step-by-step explanation:
5^3 = 125
5^-7 = 0.0000128
125 * 0.0000128 = 0.0016
Help me please on question one and two
Answer:
can you show me a better picture your problems are cut off
Step-by-step explanation:
How do i find the answer
Answer:
count them: 12
Step-by-step explanation:
All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.
The total number of edges that a cuboid has is 12.
* 5.) Write the following in standard form.* 5.8709 x 107
58, 709
58,709,000
5,870,900
587,090
Answer:
5.8709 x 10 to the 4th power = 58,709
5.8709 x 10 to the 7th power = 58,709,000
5.8709 x 10 to the 6th power = 5,870,900
5.8709 x 10 to the 5th power = 587,090
Step-by-step explanation:
Hoped that helped:P
if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)
Answer:
-x² + 3x + 7
Step-by-step explanation:
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
what is the slope of the line ?
Answer:
6
Step-by-step explanation:
because I guess it is six line's and that it will definitely be worth it to try it
write 15 and 40 ratio simplest form
Answer:
15:40
Step-by-step explanation:
these two questions are hard for me. please help
Answer:
first one is second
Step-by-step explanation:
second one is A
which statement is true about the function shown in the graph?
please help and only answer if you're for sure it's correct
Answer:
the function is increasing
1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six
Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated
how to tell if an equation is linear without graphing
Answer:
A linear equation has the greatest x power at 1.
If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.
Can you help me i Don’t understand
Answer:
A. {-1, 2, 7}
Step-by-step explanation:
For a set of ordered pairs, the domain is the set of first-numbers (x). The range is the set of second numbers (y, or g(x)).
The first step here is to find the g(x) values for each of the listed x-values.
The attachment shows a table.
Often, we like to list the domain and/or range values in numerical order, eliminating any duplicates. That is, the set of range values {2, -1, -1, 7} would be listed as ...
{-1, 2, 7} . . . . . . matches choice A
_____
You find the g(x) values by substituting for x and doing the arithmetic.
g(-2) = (-2)² -2 = 4 -2 = 2, for example
Pierson's Pet Palace has an 85 gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 4 gallons per minute. Write an equation. help pls
Answer:
Step-by-step explanation:
The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.
- because it takes 21 minutes to empty 84 gallons and the last gallon takes
1/4 of a minute.
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
All of these statements are true EXCEPT which one?
A.
Answer:
Optio a is rhe right one
i m not sure
Answer:
where's the choices
Step-by-step explanation:
complete your question
List all the angle measures from least to greatest.
From the three triangles
Answer:
40°, 43°, 60°
Step-by-step explanation:
In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.
Triangle A:
c = 180° - 90° - 50°
c = 40°
Triangle B:
c = 180° - 112° - 25°
c = 43°
Triangle C:
c = 180° - 70° - 50°
c = 60°
In kite WALT, m∠ELA=48∘. Identify m∠WAL.
m∠WAL = 42°
m∠WAL = 84°
m∠WAL = 48°
m∠WAL = 90°
Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?
Answer:
966
Step-by-step explanation:
180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)
Q7 AND Q8 solve in full steps
Answer:
Steps in the picture
Hope it helps
Martin has read 40% of a book. He has 48 more pages to finish. How many pages are there in the book?
Answer: There are 80 pages in Martin's book.
48 pages = 60%
divide by six
8 pages = 10%
mulitiply by 10
80 pages = 100%
Hope this helps :)
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answer:
48.3%
Step-by-step explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 60 = 1.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
29 x 1.6666666666667
60 x 1.6666666666667
=
48.333333333333
100
Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.
Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?
We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points. That will be the slope of the tangent to the curve. Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.
It's not written as a function, but it can still be differentiated using the chain rule:
x2 + xy + y2 = 3
(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0
(I used parentheses to show the differentiation of each term in the original equation.)
2x + x dy/dx + y + 2y dy/dx = 0
2x + y = -x dy/dx - 2y dy/dx
2x + y = dy/dx (-x -2y)
-(2x + y)/(x + 2y) = dy/dx
We have the derivative of y, but it's defined partly in terms of y itself. That's OK. Let's go on...
So where would the slope be infinite? That would happen when x + 2y = 0, or y = -x/2
Let's plug that in for y in the original equation to find points where that's the case.
x2 + xy + y2 = 3
x2 + x(-x/2) + (-x/2)2 = 3
x2 - x2/2 + x2/4 = 3
3x2 / 4 = 3
x2 = 4
x = ±2
So we have two x values where the tangent might be vertical. Let's plug them into the equation and see what the y values are. First x = 2...
x2 + xy + y2 = 3
4 + 2y + y2 = 3
y2 + 2y + 1 = 0
(y + 1)2 = 0
y = -1
So at the point (2, -1) the tangent is vertical.
Now try x = -2...
x2 + xy + y2 = 3
4 - 2y + y2 = 3
y2 - 2y + 1 =0
(y - 1)2 = 0
y = 1
So at the point (-2, 1) the tangent is vertical.
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
Answer:
-15-5Step-by-step explanation:
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
I answer for what I understand
-225 : 15 = - 15
30 : (- 6 ) = -5
easy one for you folks. show work. giving brainly.
who had to shovel more area of the driveway?
Answer:
Ahmed shoevked more than sheldon
Will mark brainliest!
In your own words, explain the pattern! Can you write an equation? What is the y value if x value is 15?
Answer:
try 5
Step-by-step explanation:
can anyone find the area to this?
Answer:36
Step-by-step explanation: 3X4 or 3 rectangles plus tow rectanges that = 12
Pls answer me this (WILL MARK BRAINLIEST)
Answer:
a=3 b= -40
Step-by-step explanation:
.....