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.
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]ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pagesss
Answer:
this is your look it once
1. Determine if the polygons are similar.
2. If they are, write a similarity statement. If they aren't, put n/a in this blank.
3. If the polygons are similar, find the scale factor of EFGH to KLMN. If they aren't similary, put n/a in this blank.
help please
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 :)
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????
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:
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
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!!~ ♥︎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
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
The base of a rectangular pyramid is 13 inches long and 12 inches wide.
The height of the pyramid is 8 inches. What is the volume of the
pyramid?
Answer:
Area = 1/2 (Base) (Height)
Area = 1/2 (12 in) (8 kn)
Area = 1/2 (96 in)
Area = 48 in^2
Volume = (Area) (Length)
Volume = (48 in^3) (13 in)
Volume = 624 in^3
Answer:
V=L•W•H
3=13·12·8
3=416
=416³
Step-by-step explanation:
Finding the Volume of a Rectangular Pyramid
Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.
If the cube has a side length s, then each pyramid has an s by s base and height s/2, and its volume is 1/6 the volume of the cube, which is 1/3 base times height. ... They are congruent, so have volume 1/3*base*height as the base is a square the side of the cube and the height is the side of the cube as well.Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.#CarryOnLearning
hii please help i’ll give brainliest!!
Answer:
2Step-by-step explanation:
For every action, there is an equal and opposite reaction.Answer:
For every action, there is an equal and opposite reaction.
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!:)
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
5. This diagram of a baseball field is composed of a square, a semicircle, and a quarter
circle.
PLEASE HELP GIVING 25 points
Which measurement is the best estimate of the area of the field in square feet?
A:12717
B:8100
C:27176
D:19074
Answer:this one is hard
Step-by-step explanation:
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:
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
learn more about musical instruments from
https://brainly.com/question/3957958
What is the ratio of the calories Robyn burned on Thursday to the total number of calories she burned for the week?
Answer:
1:7
Step-by-step explanation:
One day out of the week (1/7)
If she burned the same number of calories every day, this should be the answer.
Answer:
5:18
Step-by-step explanation:
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;
https://brainly.com/question/14059007
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Help Please! would really appreciate it.
=========================================
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.
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
The lengths of the sides of a triangle are 4, 5, 7. Classify the triangle as acute, right, or obtuse
Find the perimeter of A,B,C. Round nearest 10th
Answer:
5,9,2
Step-by-step explanation:
Please help someone, give me correct answer to these 2 problems.
I will mark you brainliest for the correct answer.
Please help!!!!!
I need the answer to both pictures!!!!!!!
Answer:
60° 60° 60°
60°
Step-by-step explanation:
In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.
As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.
Angle5+angle6=180°, therefore
Angle6=180-120=60°=angle2
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
Roberto has $200 in spending money. He wants to buy some video games that cost $25.50 each. Write and solve an inequality to find the number of games, g, that Roberto can buy. Enter your answer in the box.
Roberto can buy up to _________ video games.
I need this answer right away, please!!!
Answer:
He can buy up to 7 games
Step-by-step explanation:
200 divided 25.50 is 7.84 so therefore he can only buy 7
Answer:
7
Step-by-step explanation:
since it costs 25.50 dollars for each game say that x is each game and 25.50 times x equals the amount of money he spent on his games.
since he only has 200 dollars the inequality has to be greater than or equal to 25.50x
200>=25.50x
7.843>=x
so he can only buy up to 7 games
Help!!!!!! Quick answers pls
[tex]8 \frac{9}{18} [/tex]
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
The depth, d, of a lake is 392 m, rounded to the nearest integer.
Write the error interval for d in the form asd
Answer:
5
Step-by-step explanation:
2+2+1=5
The error interval for d is from 391.6 to 391.9 and 392.1 to 392.4.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, The depth 'd' of a lake is 392 m, rounded to the nearest integer.
Now a number rounded to the nearest integer to 392 is only possible when the number is less than 392.5 which is 392.4 and greater than 391.5.
learn more about rounding off of numbers here :
https://brainly.com/question/29022222
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