Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]
i.e., cos(x) = [tex]-\frac{\sqrt{3} }{2}[/tex]
Also cos([tex]\frac{\pi}{6}[/tex]) = [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].
We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - [tex]-\frac{\sqrt{3} }{2}[/tex] = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
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Need help with this I don’t understand what to do and how to do it helppppp
Answer: In the first graph, you plug in the numbers, so the rule would be "+9" and the term would be 9 for the first one, the second term is 18 and the rule stays the same. In the second one, the rule is that they each go up by (+7)
I hope that helps :)
PLEASE HELP
find the value of x
Answer: an acute angle so it bout 55
Step-by-step explanation:
find the ordered pairs marked on the graph
The ordered pairs of the given graph are;
(-2, 3), (4, 2), (0, -3), (2, -5), (-5, -4)
What are the Ordered Pairs?An ordered pair is defined as a composition of the x coordinate and the y coordinate, having two values written in a fixed order within parentheses.
Ordered Pair = (x, y)
Where;
x = abscissa, the distance measure of a point from the primary axis “x”
y = ordinate, the distance measure of a point from the secondary axis “y”
Thus the ordered pairs of the given graph are;
(-2, 3), (4, 2), (0, -3), (2, -5), (-5, -4)
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2x + 3x = -25
Ingrese su respuesta
Step-by-step explanation:
2x + 3x = -25
5x = -25
x = -25 / 5
x = -5
Find the principal (positivt) square root of 16. If necessary, round the answer
to the nearest hundredth (two decimal places).
Calculate the volume of this regular solid.
Intro
8 cm
What is the volume of
TL
Round at the end to the nearest tenth.
cm³
Done
The volume of the sphere is 2144.7cm³.
Given that a sphere with radius 8 cm.
As we all know that the volume of sphere is 4/3πr³.
We will find the volume of sphere by substituting the value of radius in the formula, we get
Volume=4/3 πr³
Now, we will substitute r=8 cm in above formula, we get
V=(4/3)π(8 cm)³
V=(4/3)π(512)cm³
Now, we will simplify this by multiply by 4, we get
V=(2048/3)πcm³
Now, we will simplify it by dividing it with 3, we get
V=682.66π cm³.
As we know, the value of π is 3.14.
So, we will substitute this value and simplify it, we get
V=682.66×3.14
V=2144.66 cm³
Hence, the volume of the sphere when the radius is 8cm is 2144.7 cm³.
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Find the value of x.
S
34°
X =
W
U
S
V
(x + 6)°
(3x - 2)°
The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.
Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.
Is 82 a passing score?The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.
There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.
Options for this question are:
Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.Find out more on percentile rank at https://brainly.com/question/24245405
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a sequence is determined by f (n) = -4 +2n for n > 1. which of the following statements is the recursive definition of f?
f(1)=-2, f(n)=f(n-1)+2 for n>2
f(1)=-4, f(n)=f(n-1)++2n for n>2
f(1)=-2, f(n)=f(n-1)+(-4) for n>2
f(1)=-4, f(n)=f(n-1)+2 for n >2
The statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2 for n > 2
How to determine which of the following statements is the recursive definition of f?The function definition is given as
f(n) = -4 +2n for n > 1
Start by calculating f(2), f(3) and f(4)
So, we have
f(2) = -4 +2(2)
f(2) = 0
f(3) = -4 +2(3)
f(3) = 2
f(4) = -4 +2(4)
f(4) = 4
In the above computation, we can see that the sequence is an arithmetic sequence with a common difference of 2
So, we have
f(n) = f(n - 1) + 2
Also, we have
f(1) = -4 +2(1)
f(1) = -2
Hence, the statement that is the recursive definition of f is f(1) = -2 f(n) = f(n - 1) + 2 for n > 2
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6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to the other four faces of the pyram
The length of the square base is thus [tex]2 x 3\sqrt{2}/2 = 3\sqrt{2}[/tex] = A
What is hemisphere?
Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.
Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.
OM/2 = 6/EP
OM = 6/EP x 2
OM = [tex]6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}[/tex]
The length of the square base is thus [tex]2 x 3\sqrt{2}/2 = 3\sqrt{2}[/tex] = A
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I need help with this question.
The question is (if you cant see the picture well) :
ANALYZE Determine whether the statement is sometimes, always, or never true. Justify your argument using a counterexample or proof.
In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex.
The statement that "In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex" is always true
How to determine whether the statement is sometimes, always, or never true?The statement is given as:
In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex.
As a general rule;
If any two angles are congruent in a triangle, then it means that the sides that opposite the two congruent angles are congruent sides.
The above is an illustration of the base angle theorem
The base angle theorem goes hand-in-hand with the isosceles triangle theorem which is illustrated by the given statement
Hence, the statement that "In an isosceles triangle, the perpendicular bisector of the base is also the angle bisector of the opposite vertex" is always true
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show that cos 30 + 2 tan 60 can be written in the form k where k is an integer
Answer:
k = 4.33
Step-by-step explanation:
Cos 30 = 0.8660
Tan 60 = 1.732
2 Tan 60 = 2 (Tan 60)
2 Tan 60 = 2 (1.732)
2 Tan 60 = 3.464
Cos 30 + Tan 60 = 0.8660 + 3.464 = 4.33
k = 4.33
Which additional fact is needed to prove by Side-Angle-Side (SAS)?
The information is no complete yet. The additional fact that is needed to prove that both triangles are congruent by SAS is: AD ≅ CD.
How to Apply the Side-Angle-Side (SAS)?The Side-Angle-Side (SAS) is a triangle congruence theorem that is used to prove that two triangles are congruent to each other if they have two pairs of corresponding congruent sides and a pair of included congruent angles.
The diagram given gives us the following information:
A pair of congruent sides - BD ≅ BD
A pair of congruent angles - <ADB ≅ CDB.
Thus, the information is no complete yet. The additional fact that is needed to prove that both triangles are congruent by SAS is: AD ≅ CD.
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How is FE₂ different from FE2O3?
Please someone help me, anyone?!!
Answer:
Fe2 is elemental iron and Fe2O3 is a compound
Answer:
Step-by-step explanation:
Fe2 is elemental iron and Fe2O3 is a compound of iron and oxygen.
what equation is equivalent to 4^x+3=64
Answer:
Step-by-step explanation:
Answer: x=64/7 Step-by-step explanation: 4x+3=64 7x=64
4x=−64
Divide both sides by 4.
x=
4
−64
Divide −64 by 4 to get −16.
x=−16
What is the perimeter of quadrilateral HIJK, with vertices H( – 4,6), I(4,9), J(2,3), and K(7, – 4).
The perimeter of the quadrilateral is approximately 50.47 units
A quadrilateral is polygon which has 4 sides. The perimeter of a quadrilateral is the sum of the side - lengths of all sides of the quadrilateral .the side lengths are calculated by using the distance formula between two points on the cartesian plane which is given by [tex]{\displaystyle d={\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}.}[/tex]Given the vertices of the quadrilateral: H(– 4,6), I(4,9), J(2,3), K(7, – 4).
Let us calculate the distances of HI , IJ , JK and KH
[tex]{\displaystyle HI={\sqrt {(4-(-4))^{2}+(9-(6))^{2}}}.}[/tex]
or, HI = 17 units
[tex]{\displaystyle IJ={\sqrt {(2-(4))^{2}+(3-(9))^{2}}}.}[/tex]
or, IJ = 10
[tex]{\displaystyle JK={\sqrt {(7-(2))^{2}+(-4-(3))^{2}}}.}[/tex]
or, JK = √74 = 8.602... ≈ 8.60
[tex]{\displaystyle KH={\sqrt {(7-(-4))^{2}+(-4-(6))^{2}}}.}[/tex]
or, KH = √221 = 14.866... ≈ 14.87
Now perimeter = HI + IJ + JK + KH
or, perimeter = 8.60 + 14.87 + 10 + 17 = 50.47 units.
Therefore the perimeter of the quadrilateral is 50.47 units.
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Joshua moved 5 lawns in 4 hours fill out a table if equivalent ratios
Answer:
(25,20) , (45,36)
Step-by-step explanation:
I THINK??
consider an infinite set of pairwise independent random variables which are uniformly distributed between 0 and 1. what's the expected number that you need to add to get a number that exceeds 1.
When two random variables X and Y are considered to be independent, it means that neither X's distribution nor Y's values have any bearing on the other.
What do you mean by independent random variable?A random variable is a variable used in an experiment, such as the number of coin tosses or card draws. An independent random variable is a random variable in your experiment that doesn't affect the other random variables. In other words, it has no impact on the likelihood that another event will occur. For illustration, suppose you randomly selected 50 bags of sugar from various grocery stores in order to determine the average weight of a bag of sugar. The factors are independent since you wouldn't anticipate the weight of one bag having an impact on another. A dependent random variable, on the other hand, does have an impact on the probability of other random variables.
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What is the value of x in this figure? Enter your answer in the box. hexagon
the area of a rectangle is (x3 – 5x2 3x – 15), and the width of the rectangle is (x2 3). if area
The length of rectangle is (x - 5).
We are given-
Area of rectangle = [tex]x^{3} - 5x^{2} + 3x - 15[/tex]
Width of rectangle = [tex]x^{2} + 3[/tex]
Using the formula, the length will be calculated by rewriting the formula as -
Length = Area/width
Keep the values in formula to find the length of rectangle.
Length = [tex]\frac{x^{3} - 5x^{2} + 3x - 15}{x^{2} + 3}[/tex]
In numerator, separating the common values and rewriting the equation -
Length = [tex]\frac{x^{2} (x - 5) +3 (x - 5)}{x^{2} + 3}[/tex]
Rewriting the equation to for ease of solving to find the length of rectangle -
Length = [tex]\frac{(x^{2} +3)(x - 5)}{(x^{2} +3)}[/tex]
Cancelling [tex](x^{2} + 3)[/tex] as it is common in both numerator and denominator. Now, we will get the value of length of rectangle.
Length = (x - 5)
Hence, the length of rectangle is (x - 5).
The complete question is -
The area of a rectangle is [tex]x^{3} - 5x^{2} + 3x - 15[/tex], and the width of the rectangle is [tex]x^{2} + 3[/tex]. If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5
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Please help soon!!
Asap!
Answer: FIRST ONE IS -1/7
The second one is 1
Step-by-step explanation:
PLEASE HELP ME YOU GET 100 POINTS
Answer: x=36
Step-by-step explanation: a straight line is 180 degrees. on one side, it is 144 degrees. 180-144 = 36.
On the double number line, 3 minutes corresponds to 180 beats.
0 ? 120 180 240 300
Beats:
Minutes:
0 1
2
3
4
5
How many beats are there in 3 minutes? Type your answer as a number.
ason works on commission and earns $30 for each computer he sells. The store's manager, Sandra, earns a base salary of $1200 a
month plus $15 for each computer she sells. Let J represent Jason's earnings and let S represent Sandra's earnings for selling c
number of computers. Which system best represents this situation?
Answer:
30J + 15S = $1,200
Step-by-step explanation:
Since Jason earns $30 per computer and Sandra earns $15 per computer therefore the equation will be written as $30J + $15S = base salary per month.
30J + 15S = $1,200
I'm really confused by this; can someone help me?
Write the biconditional statement using the information given in the statement below.
"If a shape is an octagon, then it has 8 sides"
7 Complete each statement about multiplying positive
and negative integers using the word positive or
negative. For each statement, provide an example.
positive positive = positive
positive negative =
negative negative =
PLS HELP
A person covers a distance of 1500 meter in 3 minutes.Calculate the speed of a person
Answer:
The person runs 30km/h or 30000m/h
Step-by-step explanation:
First let's find speed per minute
➟ 1500/3
➟ 500
Now let's calculate speed per hour
1 hour = 60 minutes
➟ 500 × 60
➟ 30,000 meters
If you would like the meters to be in miles
then Formula divide the meter value by 1000
➟ 30000/1000
➟30
∴ The person runs 30km/h or 30000m/h
The speed of the person is 300 km/hour.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Distance covered in 3 minutes = 1500 meters.
1 hour = 60 minutes
3 minutes = 15000 meter
Multiply 20 on both sides.
60 minutes = 300,000 meter
1 km = 1000 meter
Multiply 300 on both sides.
300 km = 300,000 meter
Now,
60 minutes = 300 km
Speed = 300 km/hour
Thus,
300km/hour is the speed of the person.
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Question 3 (3 points) Determine the smallest integer that makes 4x - 9 - 2x < 5x + 1 true
a 4
b 3
c 2
d 1
Answer:
d:1
Step-by-step explanation:
the answers will always be negative and the other side will always be positive
let f left parenthesis x right parenthesis equals x cubed minus x squared minus 1and x subscript 0 equals 1. to the nearest three decimal places, find x subscript 5using newton's method of approximation.
x(5) is approximately equal to 1.466.
Newton's method, additionally referred to as the Newton-Raphson method, is enormous due to the fact it's far an iterative approach which could appropriately estimate answers to equations. And it's a way for estimating numerical answers (inclusive of x-intercepts, zeros, or roots) to equations which can be too difficult to solve by means of hand.The aim is initially an preliminary guess this is extraordinarily near the real root (answer) after which utilise the tangent line to locate any other x-intercept that is even better than our first wager.An approximation is anything this is supposed to be comparable but not precisely equal to anything else.To learn more about approximation, visit :
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(01.06 mc) craig has 72 feet of material to build a fence around a rectangular flower bed on his property. if the width of the fence must be 3 feet, w
The fence is 33 feet long when measured in yards.
Here,
In order to erect a fence around a rectangular flower garden on his property, Craig has 72 feet of material.
If the fence must be 3 feet in width, then, assuming he uses the entire 72 feet of material, we must determine the fence's length in yards.
What is the rectangle's perimeter?
The rectangle's perimeter is 2 (l + b). l being the length. b=breadth (width).
Now,
A rectangular flower bed should be x feet long.
(Length + Width)2 = the perimeter of a rectangular flowerbed.
72 = 2 (x + 3)
36 = x + 3
x = 33 feet
Hence, The fence is 33 feet long when measured in yards.
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