Answers
Answer:
[tex]\frac{2\pi }{3} \ ,\ \pi \ ,\ \frac{4\pi }{3}[/tex]
Step-by-step explanation:
suppose cos(x) = y
Then
[tex]2\cos^{2} \left( x\right) +3\cos x+1=0\Longleftrightarrow \begin{cases}2y^{2}+3y+1=0&\\ y=\cos \left( x\right) \ \ \text{and} &0\leqslant x\leqslant 2\pi \end{cases}[/tex]
2y² + 3y + 1 = 0 ⇒ y = -1 or y = -1/2 (because 2-3+1=0)
y = -1 ⇔ cosx = -1 ⇒ x = π (because x∈[0,2π] )
y = -1/2 ⇔ cosx = -1/2 ⇒ x = 2π/3 or x = 4π/3
Final answer :
x = π or x = 2π/3 or x = 4π/3
Related Questions
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
Abd
Step-by-step explanation:
upright
up
as the height increase the weight also does
What is the solution set of equation x2 + 3x - 4 = 6?
Answers
Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction PLES HELP I WILL GIVE BRAINLYEST
Answers
Answer:It's 18
Step-by-step explanation:Multiply 7 and 6 to get 42
Subtract 10 from 13 to get 3
Divide 42 by 3 to get 14
Add 14 and 4 to get 18
Answer:
18
Step-by-step explanation:
First do the ones inside the bracket (13-10)=3
Second divide 6 by the answer you get from the first part 6÷3=2
Third multiply the answer from second with 7×2=14
Then add the answer you get from the third one to 4+14=18
Mathematically
7×6÷(13-10)+4
= 7×6÷3+4
= 7×2+4
= 14+4
= 18 Answer
help me pleeeeaseeeeeeeeeeeeeeeeeee
Answers
Step-by-step explanation:
just fill in the individual definitions and then do the fraction calculation.
c - 3x
-7/10 - 3×2/5 = -7/10 - 6/5 = -7/10 - 12/10 = -19/10
please help me factor this
Answers
Answer:
(x+24)(x-2)=0
Step-by-step explanation:
2*-24=-48
factorise -48 to get 24 and -2 (which will add up to 22)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is m<2.
Answers
Answer:
32
Step-by-step explanation:
because it 's a antiparallelogram so 3=2, 1=32
People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
box plot
dot plot
histogram
stem-and-leaf plot
Answers
The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
What is a histogram?
It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
We have data:
7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4
We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.
Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.
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Mystery Measures
Determine as many angle measures as you can by
creating different designs.
Record your results and strategies on the worksheet.
Answers
Answer:
four squares or 3 hexagons
Question 16 of 40
A sample of 64 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 2. What is the 95%
confidence interval for the mean of the population?
OA. (24.75, 25.25)
OB. (24,26)
OC. (24.5, 25.5)
OD. (24.2, 25.8)
4
SUBMIT
Answers
A bag contains 4 red balls, 2 green balls, 3 yellow balls, and 5 blue balls. Find each probability for randomly removing balls with
replacement.
Removing a yellow, a red, a green, and a blue ball =
Removing a blue, a green, a green, and a yellow ball =
Removing a red, a red, a yellow, and a yellow ball =
Removing a green, a yellow, a yellow, and a red ball =
Answers
Answer:
[tex]\frac{15}{4802}[/tex], [tex]\frac{15}{9604}[/tex], [tex]\frac{9}{2401}[/tex], [tex]\frac{9}{4802}[/tex]
Step-by-step explanation:
The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:
Red: [tex]\frac{4}{14}[/tex]
green: [tex]\frac{2}{14}[/tex]
yellow: [tex]\frac{3}{14}[/tex]
blue: [tex]\frac{5}{14}[/tex]
Now solve!
Removing 1 yellow, 1 red, 1 green, and 1 blue = [tex]\frac{3}{14} \cdot \frac{4}{14} \cdot \frac{2}{14} \cdot \frac{5}{14} =\frac{15}{4802}[/tex]
Removing 1 blue, 1 green, 1 green, and 1 yellow = [tex]\frac{5}{14} \cdot \frac{2}{14} \cdot \frac{2}{14} \cdot \frac{3}{14} =\frac{15}{9604}[/tex]
Removing 1 red, 1 red, 1 yellow, and 1 yellow = [tex]\frac{4}{14} \cdot \frac{4}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} =\frac{9}{2401}[/tex]
Removing 1 green, 1 yellow, 1 yellow, and 1 red = [tex]\frac{2}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} \cdot \frac{4}{14} =\frac{9}{4802}[/tex]
What was discovered because of the changing phases of the moon? Please Help!!! Will Give Lots Of Points!
the moon's quarters
the moon's light source
the moon's eclipse
the moon's quarters
Answers
Answer:
Firstly, the moon keeps changing its shape with 4 distinct moon phases that depend on the position of the moon and also on the position of the Earth. The moon orbits around the planet Earth, and the Earth orbits around the Sun.
Step-by-step explanation:
Answer:
what is the process
Step-by-step explanation:
sarah can make 3/5 of a necklace in 15 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can sarah make in 1 hour?
ANSWER ASSAP PLSSSSSSSSSS
Answers
Answer:
She can make 2 2/5 necklace in one hour
Step-by-step explanation:
60/15=4 so she makes 3/5*4=12/5=2 2/5
HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.
Prove: ∠D and∠B are supplementary angles.
Answers
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
ABCD is an inscribed polygon ⇒ Given
m∠ABC = 2(m∠D) ⇒ Inscribed Angle Theorem
m∠CDA = 2(m∠B) ⇒ Inscribed Angle Theorem
m∠ABC + m∠CDA = 360° ⇒ The sum of arcs that make a circle is 360°
2(m∠D) + 2(m∠B) = 360° ⇒ Substitution property
m∠D + m∠B = 180° ⇒ Division Property of Equality
Hence, ∠D and ∠B are supplementary angles
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Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
The given expression _____ a polynomial.
Answers
Answer:
it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees
Find the approximate radius of a circle with a
circumference of 41.78 centimeters.
Answers
Answer:
radius=6.65cm
Step-by-step explanation:
circumference=41.78cm
2×22\7×r=41.78cm
r=41.78×7\44
r=6.65cm
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches
Answers
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
Answer:
The Correct answer is D. 312 Cubic inches.
Hope this helps you!!
Please Mark me Brainleast!!
14
Select the correct answer from each drop-down menu.
Given: AOB~ XEOF
Prove:
BOC~ DOE
A
B
E
F
Complete the proof.
Suppose that BOC# *DOE
. By the vertical angles theorem,
. By the transitive property,
◆, which contradicts the given. Therefore, XBOC DOE
and
, and
Answers
Using the vertical angles theorem and the transitive property, we have proven that ∠BOC ≅ ∠DOE as shown below.
Geometry
From the question, we are to prove that ∠BOC ≅ ∠DOE
We are given that
∠AOB ≅ ∠EOF
By vertical angles theorem, we can observe that
∠AOB ≅ ∠DOE and ∠BOC ≅ ∠EOF
Then,
By the transitive property
∠AOB ≅ ∠BOC and ∠EOF ≅ ∠DOE
Therefore, ∠BOC ≅ ∠DOE
Hence, the two angles are equal as proven above.
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Here are the answers -
Vert angl theorem: angle AOB is congruent to angle DOE
and: angle BOC is congruent to angle EOF
Transitive Prop: angle EOF is not congruent to angle DOE
and: angle AOB is not congruent to angle EOF
Cheers!
What is the length of one side cube?
Answers
Answer:
Step-by-step explanation:
1 unit
Please answer . Just read and give the exact answer to each question ( please be numbered )
Answers
4. B. 2 yards
5. C. 440 Millimeters
6. 2000 milliliters
i need help 7th grade math
Answers
Answer: 216
Step-by-step explanation:
5/4 = 120/x
cross multiply
480 = 5x
divide 480 by 5
x = 96
there are 96 women
96+120 = 216
The total number of people is 216
Bridget is tracking the amount of time she works out at the gym each day. The lengths of her
last 5 workouts were:
41 minutes 43 minutes 42 minutes 46 minutes 46 minutes
What was the range of the lengths of Bridget's workouts?
Answers
Answer:
The range is 5 minutes.
Step-by-step explanation:
To find the range of a data set, simply subtract the lowest value from the highest value.
46 - 41 = 5
Hope this helps
Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.
Answers
You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.
The weight of cocoa in the given chocolate bar is 35.52 grams.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,
Thus,
[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{37}{100}[/tex] × [tex]96=35.52[/tex]Thus,
The weight of cocoa in the given chocolate bar is 35.52 grams.
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i got a question what is 2x92
Answers
Answer:
184
Step-by-step explanation:
Answer:
184 184 184 184 184 184
Step-by-step explanation:
184
What is the fifteenth term of the sequence
5,-10,20,-40,80,...?
1)-163 840
2)-81.920
3)81,920
4)327.680
Answers
Answer:
81920.
Step-by-step explanation:
1) the ration of the given sequence is -2=-10/5=20/(-10)...
2) the 15th term can be calculated according to the formula:
a₁₅=a₁*(ratio)¹⁴, then
a₁₅=5*(-2)¹⁴=-5*1024*16=81920.
help me pls and stop deleting questionssss
Answers
Answer:
ok 11.5
Step-by-step explanation:
ok
Answer:11.5
Step-by-step explanation:
HELPP!!!!!!!!!!!
Match the word with the definition. You CAN use your Notes!
Question 1 options:
Practical Range
Domain
Function Notation
Vertical Line Test
Range
Practical Domain
Relation
Function
1.
A mapping from a set of inputs to a set of outputs
2.
Set of allowable inputs (usually x-values)
3.
Set of allowable outputs (usually y-values)
4.
A relation in which every element of the domain is assigned to exactly one element of the range
5.
If two points of a graph lie on ANY vertical line, the graph is NOT a function
6.
A function equation written so that the output variable (y) is replaced with the function’s name and the input variable
7.
The set of REALISTIC inputs
8.
The set of REALISTIC outputs
Answers
Answers:
RelationDomainRangeFunctionVertical Line TestFunction NotationPractical DomainPractical Range===========================================================
Explanation:
A relation is basically anything where we connect one variable to another. Usually there are math operations involved to have a predictable rule. For example, y = x+5 says "add 5 to the x input to get the y output". But we won't always have a rule like this to connect x and y.The domain is the set of allowed inputs (x values). For example, if we had the function y = 1/x, then we can plug in anything but x = 0. This is to avoid a division by zero error.The range is the set of allowed output y values. You can use a graph to determine the range, or find the domain of the inverse (assuming one exists).This is basically saying each input goes to exactly one output only. If such a thing happens, then the relation is a function.A visual way to test if you have a function is to use the vertical line test. If you can pass a vertical line through more than one point, then it is said to have failed the vertical line test and we don't have a function. Failing the vertical line test shows that a particular x value leads to multiple y outputs.Function notation is when we replace y with something like f(x) so the function name is a bit more descriptive.Let's say we had the function f(x) = 100/x. The x represents the number of people, and f(x) is the average cost per person. Before I mentioned that the domain is anything but 0, to avoid a division by zero error. Realistically, we also would make x the set of positive whole numbers (1,2,3,4,...) since x is the number of people. This is one example where a theoretical domain shrinks down to a more practical one. Since the domain shrinks in problem 7, the range is likely to shrink as well. Use a graph or table to see why this happens.Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?
Answers
See below
Explanation:
You multiply 8 and 6.9
To get 55.2 ounces
What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explain
how you got your answer.
Answers
The coordinates of A'and B'when AB is reflected in the y-axis are; (-2,5) and (-6,3).
What are the coordinates of A'and B'when AB is reflected in the y-axis?According to the task content, it follows that the reflected points A' and B's coordinates are required.
From the graph, the coordinates of A= (2,5) and B= (6,3).
On this note, the coordinates of A' and B' upon reflection over the y-axis is; (-2,5) and (-6,3) respectively.
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Find the exact value of ..
Х
15
6
Answers
The radius of a circle is 18 miles. What is the circle's circumference?
Use 3.14 for .
Answers
radius= 18 miles
to find:the circumference of the circle.
solution:[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 18[/tex]
[tex]c = 113.04[/tex]
[tex]c = 113\: miles[/tex]
hence, the circumference of the circle is 113 miles.
