Answer:
[tex]\sin\,\theta =-\frac{\sqrt{21} }{5}[/tex]
[tex]\tan\,\theta =\frac{\sqrt{21} }{2}[/tex]
[tex]\sec\,\theta = \frac{-5}{2}[/tex]
[tex]cosec\,\theta =\frac{-5}{\sqrt{21} }[/tex]
[tex]\cot\,\theta =\frac{2}{\sqrt{21} }[/tex]
Step-by-step explanation:
[tex]\cos\theta =\frac{-2}{5}<0\\sin\theta <0[/tex]
As both [tex]sin\,\theta<0,\,\cos\,\theta <0[/tex],
[tex]\theta[/tex] lies in the third quadrant.
In the third quadrant,
[tex]\sin\theta<0,\,\cos\,\theta <0\,,\,\sec\,\theta<0,\,cosec\theta<0,\,tan\,\theta>0,\,cot\,\theta>0[/tex]
[tex]\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}[/tex]
[tex]\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}[/tex]
[tex]\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}[/tex]
[tex]\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }[/tex]
[tex]\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }[/tex]
Can someone plz help me
the area is 254.34 sq. ft.
Answer:
254.34 ft²
Step-by-step explanation:
diameter = 18 feet
radius = 18/2 = 9 feet
Area = pi x r²
= pi x 9²
= pi x 81
= 254.34 ft²
Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per year. Choose the correct answer below. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. B. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 5$ a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about 49$ a day. D. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 49 $ a day.
Answer:
This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day
Step-by-step explanation:
Given
The total spent on a slice of pizza and a soda is:
[tex]Cost > \$18000[/tex] per year
Required
Which of the options is true:
First, we calculate the daily amount spent on a slice of pizza and a soda.
Assume that the yearly cost is: $18000
The daily cost is:
[tex]Daily = \frac{\$18000}{365}[/tex]
[tex]Daily = \$49.32[/tex]
This means that he spends about $49 daily
6. If f(x) = -2x2 + x - 5, what is f(3)?
Answer:
If you use the formula it should help for your answer.
Step-by-step explanation:
Find the area of the regular 18 gon with radius 56 mm
Answer:
since there are 18 of these isosceles triangles in the polygon, then multiply this by 18 to get area of the polygon with 18 sides is equal to 28.56497087 square units. you can round this to as many desimal digits as required. each of those little triangle with a vertex angle of 20 degrees is an isosceles triangle.
ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pagesss
Answer:
this is your look it once
a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks How many ways can a person order a meal
A person can order a meal in 60 different ways.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks.
Here we will use the combination of the data.
To answer this we just need to multiply 3 x 4 x 5.
3 x 4 x 5 = 60
Therefore, 60 ways can a person order a meal.
Learn more about multiplications;
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Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Help Please! would really appreciate it.
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The diagram shows:
base = 13height = xRecall that the area of a parallelogram is equal to the base times height
area = base*height
We're told that the area is 117 square units, so that means 13x = 117.
Divide both sides by 13 to isolate x
13x = 117
13x/13 = 117/13
x = 9
The height of the parallelogram is 9
Note how:
area = base*height = 13*x = 13*9 = 117
which helps confirm we have the correct height value for x.
ANSWER FOR BRAINLIEST AND 70 POINTS!
The ordered pair representing the preimage and the image is below
preimage image
k (2, 3) K' (6, 1)
L (4, 2) L' (8, -4)
Q (2, 2) Q' (6, -4)
How to find the position of the imageThe position of the image is calculated using the translation rule
(x, y) → (x + 4, y - 2)
preimage Translation image
k (2, 3) (2 + 4, 3 - 2) K' (6, 1)
L (4, 2) (4 + 4, -2 - 2) L' (8, -4)
Q (2, 2) (2 + 4, -2 - 2) Q' (6, -4)
Learn more on translation:
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Write the numbers in increasing order. NO LINKS!!!!!!!
this aint the answer but this is to help u in class when u cant use this app
Step-by-step explanation:
id recommend desmos scientific calc. you put the #'s in ex: 5/2 = 2.5 and it gives u the exact answer so u can put them in order easier also , use a lined paper sideways and put the numbers in the spaces to line it out iyk what i mean by that so you can number it from least to greatest easier !!! if ur confused ill try amd help u understand it morw but thats just how it helped me get how to do it
sarah gets paid $100. she also gets a commission of $200 per lawn mower she sells. if her pay can be modeled as y = 200x + 100, how much money does she make if she sells 4 lawnmowers
You can download answer here
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The lengths of the sides of a triangle are 4, 5, 7. Classify the triangle as acute, right, or obtuse
What is the measure of b
Answer:
abcd
Step-by-step explanation:
efg
Help!!!!!! Quick answers pls
[tex]8 \frac{9}{18} [/tex]
Question 2 (1 point)
5B. A rectangle has perimeter 26 cm, and the length and width are both whole numbers. What is the greatest possible area this rectangle may
have in square cm?
A triangle has two sides of length 7 and 4. What is the smallest possible whole-number length for the third sid
Answer:
3......
Step-by-step explanation:
in triangle sum of two sides must be equal to third side......
hope this will help u.....
Help? Giving brain!!
Answer:
Natalie saved 16%
Step-by-step explanation:
Natalie saved 16% because 20 divided by 125 is 0.16
When we find percentages our goal is to get something like 0.24 which would mean 24% or 0.14 or 14% in this case it is perfect because we immediately see 0.16 or 16% leaving us with our answer, Natalie got 16% off her new phone.
Answer:
16%
Step-by-step explanation:
so that is the original number subtracted by a percentage, but that percentage is then multiplied by 125
125-(x/100)125=125-20
x=16
Hope that helps :)
Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The cargo section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?
Answer:8
Step-by-step explanation:
48/4 = 12
12-4 = 8
plsss help i’ll give brainliest if you give a correct answer
Answer:
60
Step-by-step explanation:
40% = 0.4
150(0.4) = 60
Answer:
60
Step-by-step explanation:
150 x 40% = 60
X + 3y =5y
-x + 2y =0
Answer:
If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.
Step-by-step explanation:
Simplify
(3x^2y^3/z^3)^3
Answer:
27x^6 y^9
z^9
Step-by-step explanation:
That should be the answer,if not...sorry!:)
Please help! Will give Brainliest!
Answer:
A
Step-by-step explanation:
Tentukan nilai limit x->3 x2-9/x-3
Answer:
6
Step-by-step explanation:
Factor the numerator, difference of squares
[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )
= x + 3
limit as x → 3 = 3 + 3 = 6
who wanna do my work
Answer:
which topic in math
Step-by-step explanation:
what grade are you in? hope it's not money
What subject is it????
2x + 3 = -7 what is x
Answer: x=-5
Step-by-step explanation:
You would have to do the inverse to “undo” the equation.
So first you would do -7-3=-10
Then you would do -10/2=-5 to find x
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
pls help i’ll mark as brainliest
Answer:
It is 39.3
Step-by-step explanation:
You find the circumference using the formula 2πr so you get 20π.
and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.
So 20π*225/360 is about 39.3
Find the perimeter of A,B,C. Round nearest 10th
Answer:
5,9,2
Step-by-step explanation:
Help me plzzz i need helpppppp
Answer:
x = 5
Step-by-step explanation:
5 + 4 = 4 + 5
9 = 9
That means this statement is true.
Hope this helps!!~ ♥︎
Are there similarities with the musical instruments of South Asian and Middle East? Explain.
nThe Middle East has been an important source of musical instruments for other parts of the world. Bagpipes, guitar, lute, oboe, tambourine, viols, and most zithers have a Middle Eastern origin.
The similarity is that both of them place value on the use of instrumental music. The South Asian and the Middle East is known to have a lot of musical instruments when compared to other parts of the world.
What are the musical instruments from South Asia and Middle East?The musical Instruments that can be seen in Hindustani classical music are known to be the sitar, sarod, tambura, and others.
The instruments that is said to be used in Karnatak classical music are known to be the vina, mrdangam, violin and others
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