The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
https://brainly.com/question/4515552
Help me to solve this
Step-by-step explanation:
first we use Pythagoras to get t :
c² = a² + b²
with c being the Hypotenuse.
so,
t² = r² + s² = 10² + 31² = 100 + 961 = 1061
t = sqrt(1061)
and then we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of their related sides.
so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t
sin(R) = r/t = 10/sqrt(1061) = 0.30700278...
R = 17.8786966... ≈ 17.9°
Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-
Refer to attatchment.
Answer:
4x2+4x-5
Step-by-step explanation:
Hopes this helps
Plz markas brainliest
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
557.59 in terms of pi
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
E
Step-by-step explanation:
1+2+2+1
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
A 6pint bucket of paint costs $28.44 what is the price per cup
Answer:
I think there answer is 4.74
Step-by-step explanation:
so you divide
[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]
Find the value of .
X
100°
Y
130°
x
66°
w
Z
The measure for angle W is 80 degree.
What is Trapezium?A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.
Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.
Given:
We have angles <X= 100, <Y = 130 and <Z= 66.
As, we know that in Trapezium the sum of adjacent angle is 180.
So, <X + <W = 180
100 + <W =180
<W= 180- 100
<W = 80 degree.
Learn more about Trapezium here:
https://brainly.com/question/22607187
#SPJ2
There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?
Round your answer to the nearest integer.
There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
There are 52 grams of carbs in 1/4 cup of syrup
Let's assume that the amount of carbs in 1 tablespoon is x.
So,
x = (52 × 4)
x = 208 grams.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was
mario made a table with the rules below
rules
x - coordinate
start with 1 and multiply each term by 3
y- coordinate
start with 1 and add 3 to each term
anwer choices
a- (1,1) (3,4) (9,7)
b- (1,4) (3,6) (6,18)
c-(1,3) (3,9) (6,12)
d- (1,3) (1,4) (6,10)
e- (1,1) (3,3) (6,10)
Answer:
a- (1,1) (3,4) (9,7)
Hope you could get an idea from here.
Doubt clarification - use comment section.
subtract 19/12 - 3/4
[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]
Answer:
[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]
Step-by-step explanation:
[tex] \frac{19}{12} - \frac{3}{4} [/tex]
[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]
[tex] = \frac{76}{48} - \frac{36}{48} [/tex]
[tex] = \frac{76 - 36}{48}[/tex]
[tex]= \frac{40}{48} [/tex]
[tex] = \frac{40 \div 8}{48 \div 8} [/tex]
[tex] = \frac{5}{6}[/tex]
Michael is saving money to buy a bike. So far, he
has saved $25 which is four-fifths of the total cost
of the bike. How much does the bike cost?
Let X = total cost of game
(4/5) X = $25
Multiply both sides of equation by 5/3
(5/3)(3/5) X = (5/3) $25
X = $35
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
that is 64% acid?
Step-by-step explanation:
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
is 64% acid
There should be 40 L of solution A and 60 L of solution B should be added in order to make 100 L of a solution that is 64% acidic.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, solution A is 40% acidic and solution B is 80% acidic, they are mixed to get a 100 L solution which is 64% acidic.
Establishing the equations,
A+B = 100
A = 100-B.......(i)
40% of A + 80% of B = 64% of 100
0.4A + 0.8B = 64......(ii)
Solving the equations,
0.4(100-B) + 0.8B = 64
40 - 0.4B + 0.8B = 64
0.4B = 24
B = 24/0.4
B = 60
Putting, B = 60 in Eq(i)
A = 100-60
A = 40
Hence, The amount of solutions needed is A = 40 L and B = 60 L.
For more references on equations, click;
https://brainly.com/question/29657983
#SPJ2
Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]
The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
The limit expression is given as:
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]
Express 25 as 5^2
[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]
Express the numerator as the difference of two squares
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]
Evaluate the quotient
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]
Remove bracket
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]
Substitute 1 for x
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]
Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
Read more about calculus at:
https://brainly.com/question/15182568
Add the matrices. Help please
Answer:
D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Step-by-step explanation:
You basically add the corresponding entries for each row and column:
[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.
Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?
Which function results in f(x)=13?
Answer:
The answer is B
Step-by-step explanation:
plug 2 into x to see
A.
x^2 + 8
2^2 + 8
4 + 8 = 12
B.
3x^2 + 1
3(2)^2 + 1
3(4) + 1
12 + 1 = 13
C.
2x^3 + 5
2(2)^3 + 5
2(8) + 5
16 + 5 = 21
D.
x^2 + x
2^2 + 2
4 + 2 = 6
Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2
Answer:
2.2, 2.2061, 2.406, and 2.46
Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding
A pet shop sells mice, rats and gerbils. The ratio of mice to rats is 4:3 and the ratio of mice to gerbils is 7:4. If there are 32 gerbils in stock at present, how many rats are there? Please could you explain your working out.
Answer:
42 rats.
Step-by-step explanation:
since the ratio of mice to gerbils is 7:4, given that there are 32 gerbils, that means 32/4=8 gerbils; in other words, 56mice:32gerbils. Then, to find the # of rats, the ratio is 4:3, so you take the previous value of the # of mice and divide it by 4 to get 14(3)= 42
To understand this question, we need to know what it's asking and what's important and what is not important. Many people skip this step, but it is very important.
It is asking us to Find how many Rats there are.
This problem is defiantly reduced to the simplistic ratio
The next step is to Find clues
The clues are 32 Gerbils, 7:4 and 4:3
Now i like to make a chart but you may skip this step if you want
Gerbils=32
Mice=??
Rats=??
First, we have to find the numbers of Mice.
(Reducing Ratios divide them by a number like 2:4=1:2)
If you have 32 Gerbils and you reduced it to 4, what did you dived?
32/4=8
So, you multiply 7x8=56
There is 56 Mice.
Our table looks like this
Gerbils=32
Mice=56
Rats=??
Now we use the ratio 4:3 to find the numbers of Rats
If there are 56 mice, and it is reduced to 4, we have to do 56/4 to find out what we have to multiply 3 by to get the total numbers of rats (Inverse Operation) by. We get 14.
So now we do 3x14 in which we get 42.
Our chart now looks like this
Gerbils=32
Mice=56
Rats=42
I Hope this helped if you have any questions just tell me
How can you identify the number of solutions of linear equations?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Mark me as brainlist plz :)
help me plzzzzzzzzzzzz
Answer:
9) 21
10) 70
11) 34
12) 31
13) 50
14) 31
15) 137
16) 101
Step-by-step explanation:
9)
20+40=60
60 + b =180 ( sum of the interior angles on a triangle is 180 )
b = 180 - 60
b = 120
39 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =120 ( vertically opposite angles are equal )
39 + 120 + ? = 180
159 + ? = 180
? = 180 - 159
? = 21
________________________________________________________________________________________
10)
60 + 65 + b = 180 ( sum of the interior angles on a triangle is 180 )
125 + b = 180
b = 180 - 125
b = 55
50 + b + c = 180 ( sum of the angels on a straight line is 180 )
50 + 55 + c = 180
105 + c = 180
c = 180 - 105
c = 75
35 + c + ? = 180
35 + 75 + ? = 180
110 + ? = 180
? = 180 - 110
? = 70
________________________________________________________________________________________
11)
84 + 36 + b = 180 ( sum of the interior angles on a triangle is 180 )
120 + b = 180
b = 180 - 120
b = 60
86 + b + ? = 180 ( sum of the interior angles on a triangle is 180 )
86 + 60 + ? = 180
146 + ? = 180
? = 180 - 146
? = 34
________________________________________________________________________________________
12)
35 + 23 + b = 180 ( sum of the interior angles on a triangle is 180 )
58 + b = 180
b = 180 - 58
b = 122
27 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =122 ( vertically opposite angles are equal )
27 + 122 + ? = 180
149 + ? = 180
? = 180 - 149
? =31
________________________________________________________________________________________
13)
115 + b = 180 ( sum of the angels on a straight line is 180 )
b = 180 - 115
b = 65
65 + 90 + c = 180 ( sum of the angels on a straight line is 180 )
155 + c = 180
c = 180 - 155
c = 25
155 + d = 180 ( sum of the angels on a straight line is 180 )
d = 180 - 155
d = 25
c + d + e = 180 ( sum of the interior angles on a triangle is 180 )
25 + 25 + e = 180
50 + e = 180
e = 180 - 50
e = 130
e + ? = 180 ( sum of the angels on a straight line is 180 )
130 + ? = 180
? = 180 - 130
? = 50
________________________________________________________________________________________
14)
35 + 20 + b = 180 ( sum of the interior angles on a triangle is 180 )
55 + b = 180
b = 180 - 55
b = 125
156 + c = 180 ( sum of the angels on a straight line is 180 )
c = 180 - 156
c = 24
c + e + ? = 180 ( sum of the interior angles on a triangle is 180 ) e= 125 ( vertically opposite angles are equal )
24 + 125 + ? = 180
149 + ? = 180
? = 180 - 149
? = 31
________________________________________________________________________________________
15)
b = 45 ( vertically opposite angles are equal )
b + 60 + c = 180 ( sum of the interior angles on a triangle is 180 )
45 + 60 + c = 180
105 + c = 180
c = 180 - 105
c = 75
68 + 75 + e = 180 ( sum of the angels on a straight line is 180 )
143 + e = 180
e = 180 - 143
e = 37
100 + 37 + j = 180 ( sum of the interior angles on a triangle is 180 )
137 + j = 180
j = 180 - 137
j = 43
j + ? = 180 ( sum of the angels on a straight line is 180 )
43 + ? = 180
? = 180 - 43
? = 137
________________________________________________________________________________________
16)
b = 75 ( vertically opposite angles are equal )
c = 45 ( vertically opposite angles are equal )
b + c + e = 180 ( sum of the interior angles on a triangle is 180 )
75 + 45 + e = 180
120 + e = 180
e = 180 - 120
e = 60
e + 79 + j = 180 ( sum of the angels on a straight line is 180 )
60 + 79 + j = 180
139 + j = 180
j = 180 - 139
j = 41
j + 60 + s = 180 ( sum of the interior angles on a triangle is 180 )
41 + 60 + s = 180
101 + s = 180
s = 180 - 101
s = 79
s + ? = 180 ( sum of the angels on a straight line is 180 )
79 + ? = 180
? = 180 - 79
? = 101
________________________________________________________________________________________
hope this helps☆☆☆
it took soooo long to do btw ⊙•⊙
Whta is the geometric mean of 5 and 36
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
2 + 2 = 3
prove me wrong
Answer:
2+2=4................
Answer:
you are wrong because 2+2=4
4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.
Answer:
Nikes: 24 pairsAdidas: 12 pairsStep-by-step explanation:
The system of equations can be written ...
x + y = 36
x = 2y
__
The system can be solve by substituting for x:
(2y) +y = 36
y = 12 . . . . . . divide by 3
x = 2(12) = 24
There are 24 pairs of Nikes and 12 pairs of Adidas.
18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
27
Step-by-step explanation:
Because OC biscts AOB, then COA=COB
Therefore AOB is twice COB
10x+4 = 2(6x-3)
10x+4 = 12x -6
2x = 10
x = 5
Therefore COA is 5x6-3 = 27
Answer:
9 degrees
Step-by-step explanation:
OK so we know that m<AOB is equal to the equation 10x+4. With this in mind, we also know that m<COB equals 6x-3. The ray OC intersects m<AOB, so this means that m<COB plus m<COA equals m<AOB.
First, we find m<COA by reversing the equation around to solve for m<COA.
m<AOB - m<COB = m<COA
Then, we Pug in the angles and solve.
m<AOB = 10x+4
m<COB = 6x-3
10x+4 - 6x-3 = 4x+1
Here is where things get interesting. See those 2 lines in each angle? That means they are equal in measure.
So what you do is simple, find what x equals in order to make this equation below true.
6x-3 = 4x+1
The answer for x is 2. So then just plug in to solve for m<COA and you're done!!
4(2)+1 =9
lil bonus: you can also get the same angle degree by plugging 2 into m<COB
C is the midpoint of PQ, if P is (4,m) , C is (n,-1) and Q is (-2,4) then m & n respectively are
Given points are P(4,m) and Q(-2,4)
Let (x1, y1) = P(4,m)
Where, • x1 = 4 and • y1 = m
Let (x2, y2) = Q(-2,4)
Where, • x2 = -2 and • y2 = 4
We know that
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
Mid point of the linesegment PQ
⇛M(x,y) = ( { 4+(-2)}/2 ,{m+4}/2)
⇛M(x,y) = {(4-2)/2 , {m+4}/2)
⇛M(x,y) = (2/2,{m+4}/2)
⇛M(x,y) = (1,{m+4}/2)
According to the given problem
Mid point of PQ = C(n,-1)
M(x,y) = C(n,-1)
(1,{m+4}/2) = (n,-1)
On Comparing both sides then
1 = n and (m+4)/2 = -1
n = 1 and m+4 = -2
n = 1 and m = -2-4
n = 1 and m = -6
Hence, the value of m&n will be (1&-6) respectively.
Additional comment:
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
also read similar questions: Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following pr...
https://brainly.com/question/25188846?referrer