Answers
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
Related Questions
4a. Classify the triangle below: 1st
name - a. Scalene b. Isosceles c.
Equilateral. 2nd name - a. Acute b.
Obtuse c. Right
4.8
4.8
45°
45°
6.8
Answers
Answer:
Right isosceles
Step-by-step explanation:
We have a right angle so the triangle is a right triangle
We have two sides that are equal so it is an isosceles triangle
Find the length of each side of a square field whose area is 6084 m²
Answers
_______________________________
Hey!!
Solution,
Area of a square field=6084m^2
Length(l)=?
Now,
Area of square=l^2
or, 6084=l^2
or,L=√6084
L= 78
So the length of each side of a square field is 78 m.
Hope it helps...
Good luck on your assignment
________________________________
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answers
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
What is the slope of a line that is perpendicular to 6x + 3y = -9?
A 2
B. 1
w
C. -2
D.
Ninh
1
Please select the best answer from the choices provided
Answers
Answer: 1/2
Step-by-step explanation:
The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2
What is the standard form of y – 8 = 2(x + 3)?
Question 14 options:
a)
y = 2x + 14
b)
2x + y = 14
c)
y – 2x = 11
d)
2x – y = –14
Answers
Answer:
A
Step-by-step explanation:
So first you would distribute the 2
y - 8 = 2x + 6
Then you add 8 to both sides
y = 2x + 14
So your answer is A
WILL MARK BRAINLIEST! A pattern for a sequence is described as 'start with 12 and divide by −4 repeatedly'. Is this a geometric sequence? Explain. I only need like 2 sentences, at most a full paragraph.
Answers
Answer:
yes
Step-by-step explanation:
Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)
in the equation y=4x which is greater? explain answer
Answers
Answer:
If x is greater than 0, then y is greater than x
For example:
x = 2 => y = 4(2) = 8, 8 > 2
x = 3 => y = 4(3) = 12, 12 > 3
If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0
If x is less than 0, then y is smaller than x
For example:
x = -2 => y = 4(-2) = -8, -8 < -2
x = -3 => y = 4(-3) = -12, -12 < -3
Hope this helps!
Find the square number 7, 12, 20, 25, 27
Answers
_/25 = 5
Analyze the graphed function to find the local minimum and the local maximum for the given function. Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0.
Answers
Answer:
Over the interval [2, 4], the local minimum is –8,Over the interval [1, 3], the local minimum is 0,and Over the interval [3, 5], the local maximum is 0.
Step-by-step explanation:
Answer:
B,C,D
Step-by-step explanation:
Solve the equation using the Quadratic Formula: (Hint: You may select
more than one answer choice here) *
x2 – 5x + 6 = 0
Answers
Answer:
x = 3,2
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
please mark brainly
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
First we have to distinguish the whole numbers from the numbers with variables.
2x and 5x are numbers with variables, 6 and 0 are whole numbers.
Then we can seperate them on different sides of the equal sign.
To do this, we have to subtract 6 on the left side and add it to the right side.
Now our equation will be 2x - 5x = -6.
Now we can simplify this.
Starting on the left side, 2x - 5x equals to -3x.
The right side can not be simplified.
So, our equation will now be -3x = -6.
Now we can divide both sides together.
The easiest way to do this is by turning the equation into a fraction.
So it will be [tex]\frac{-3}{-6}[/tex].
Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].
Hope this helped :)
Directions write 1/3 -3 (-3 is the exponet) without the exponet
Answers
Answer:
27
Step-by-step explanation:
I guess this would just be basically the same as 1/3 to the power of 3
Answer:
27
Step-by-step explanation:
Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?
Answers
Answer:
Step-by-step explanation:
-4 + 13 - 4 + 13 - 4 + 13
9 - 4 + 13 - 4 + 13
5 + 13 - 4 + 13
18 - 4 + 13
14 + 13
27
Plzz answer ASAP. Just the graph ignore the question below
Answers
Answer:
Domain: -8 <= x <= 2 and 1 < x < 4
Range: -3 and -2 <= y <= 8
Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
Answers
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
Can someone please help me I am almost done with this
Answers
Hey!!
{12,13,25} is not a Pythagorean triple
please see the attached picture for full solution
hope it helps
4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. What does his total sales have to be this month to reach his goal?
Answers
Answer:
X=$5,000
Step-by-step explanation:
You can write an equation in slope-intercept to find an answer.
y=0.2x+1000, 20% commission is the slope and the base pay is the y-intercept.
Now, just plug in 2,000 for y.
2,000=0.2x+1,000, subtract 1,000.
1000=0.2x, Multiply by 5 to get x by itself.
x = 5,000
Hope this helped youuuuu
2+|6+2|
Answer please
Answers
Answer: 10
Step-by-step explanation:
2 + |6+2|
2 + 8
Answer:
10
Step-by-step explanation:
This question uses the term absolute value.
Think of it as a form of distance. If the thing inside an Absolute value bracket is negative, absolute value will make is positive. If it is positive, it will stay the same. Thinking of this, we can solve the problem quite easily.
2 + |8| = 2+8=10
There’s your answer.
We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.
Answers
Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
4 - (-3) simplify the expression
Answers
Answer:
7
Step-by-step explanation:
4-(-3)=4+3 (negative times negative is positive)
4+3=7
Hope that helps!
if y=-4+11 and 3x+y=9 what is the value of y
Answers
[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]
the diagram shows a dilation of line AB about the origin O. Determine the scale factor of the dilation by following these steps.
Answers
Answer:
The scale factor is 1.5
Step-by-step explanation:
In the picture attached, the line AB is shown.
The first 3 steps are to measure some lengths
OA = 2 units OA’ = 3 units OB = 3 units OB’ = 4.5 unitsAB = 2.2 A’B’= 3.3The last 3 steps are to compute these ratios
OA'/OA = 3/2 = 1.5 OB'/OB = 4.5/3 = 1.5 A'B'/AB = 3.3/2.2 = 1.5Answer:
see explanation
Step-by-step explanation:
1. Measure these lengths:
OA - 2.0 units
OA' - 3.0 units
2. Measure these lengths:
OB - 3.0
OB' - 4.5
3. Measure these length's:
AB - 2.2
AB' - 3.3
4. Calculate the ration: OA' / OA = 1.5
5. Calculate this ratio: OB' / OB = 1.5
6. Calculate this ratio: A'B' / AB = 1.5
help me plz asap ill mark u brainliest
Answers
Answer:
b
Step-by-step explanation:
this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2 and she did that 5 times
this means that the final answer 5 * ( 2 + 2 )
2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True
Answers
Answer:
true
Step-by-step explanation:
hard to explain,
hope it helps
It is true that when f(x) = g(x), the system of the equation is solved.
A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).
The equation is the relationship between variables as is an example of a polynomial equation.
Let, f(x) = ax+ by - - - - ( 1 )
g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.
When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).
Thus, It is true that when f(x) = g(x), the system of the equation is solved.
Learn more about the equation here:
brainly.com/question/10413253
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some help plz??? what is the simplified form??? (-2)(-6x)(7)
Answers
Answer:
[tex]\displaystyle 84x[/tex]
Step-by-step explanation:
[tex]\displaystyle (-2)(-6x)(7)[/tex]
[tex]\displaystyle -2 \times -6x \times 7[/tex]
[tex]\displaystyle12x \times 7[/tex]
[tex]\displaystyle =84x[/tex]
Find x in the following right triangle.
Answers
Answer: 15
Step-by-step explanation: I used the pythagorean theorem. X is a, 8 is b, and 17 is c. The squares of a and b added together are c. So I got 15.
Answer:
x=15
Step-by-step explanation:
First, you are going to find a Pythagorean Triple. As you can see from the picture you have provided, 17 ft is the longest side. So, I squared 17 and got 289. I did this because I am using the Pythagorean Theorem (a^2+b^2=c^2). Then, I squared 8 and got 64. Then, still following the Pythagorean Theorem, I subtracted 64 from 289. I got 225. Then, I found the square root of 225. I got 15. So, x=15.
WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.
Answers
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
To learn more about isosceles triangle from here
https://brainly.in/question/26765711
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If you flip three fair coins what is the probability you’ll get at least two heads?
Answers
Answer:
see below
Step-by-step explanation:
The possible outcomes of flipping 3 coins are:
HHH, HHT, HTT, TTT, HTH, THT, TTH, THH.
Out of these 8 there are 4 that will be successful so the probability is 4/8 = 1/2 or 50%.
50%
Answer and Explanation:
If you flip three fair coins, the probability that you'll get at least two heads is 4/8 or 0.50, which is 50%.
plz mark brainliest
another one! what is 7x-8x=23? will mark brainliest!
Answers
Answer:
7x-8x=23
-1x=23
x=-23
Step-by-step explanation:
7x - 8x = 23
-x = 23
x = -23
......
Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2
63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
Answers
Human:
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
I WOULD APPRECIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Help Idk the way to do it
Answers
Answer:
x=3
Step-by-step explanation:
If the triangles are congruent
13 = 4x+1
subtract 1 from each side
13-1 = 4x+1-1
12=4x
Divide by 4
12/4 = 4x/4
3=x
Answer:
3
Step-by-step explanation:
If the two triangles are congruent then:
13=4x+1
13-1=4x+1-1
12=4x
x=3
Hope this helps!
