Answer:
In polar coordinates, we represent the points as:
P = (R, θ)
Where R is the radius and θ is the angle (depending on how you want to work, you can use θ in degrees or radians).
Then in this case we know that we are working with the unit circle, whose radius is R = 1.
And the angle is pi/5.
Then our point will be:
P = (1, pi/5).
Now we also could write it in rectangular coordinates, knowing that for a point (R, θ) we have:
x = R*cos(θ)
Y = R*sin(θ)
Then for our point the rectangular coordinates are:
x = 1*cos(pi/5) = 0.81
y = 1*sin(pi/5) = 0.59
Then the point is (0.81, 0.59)
construct a rhombus having length of diagonals 6 cm and 8 cm
What is the x value?
Answer:
The correct answer is x = 12.
Step-by-step explanation:
To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles. This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected. This is modeled below:
9x - 54 = 4x + 6
Now, we can solve this equation like any other. The first step is to subtract 4x from both sides.
9x - 4x - 54 = 4x - 4x + 6
5x - 54 = 6
Then, we should add 54 to both sides.
5x - 54 + 54 = 6 + 54
5x = 60
Finally, we can divide both sides by 5.
5x/5 = 60/5
x = 12
Therefore, the correct answer is x = 12.
Hope this helps!
Answer:
The value of x is 12°.
Step-by-step explanation:
Given that AC is the angle bisector of ∠BAD which means that AC cuts exactly the center of ∠BAD so ∠BAC and ∠CAD must be the same.
In order to find the value of x, you have to make ∠BAC = ∠CAD
[tex]∠BAC = ∠CAD[/tex]
[tex]9x - 54 = 4x + 6[/tex]
[tex]9x - 4x = 6 + 54[/tex]
[tex]5x = 60[/tex]
[tex]x = 60 \div 5[/tex]
[tex]x = 12[/tex]
Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.
Answer:
17.60
Step-by-step explanation:
Look at the room carefully, the length of the room is 11 feet
And the height = 10 feet
The area of the 4 walls of the room = 4( 11×10) = 440 sq ft
Area covered by each roll = 25 sq ft
= 440/25 = 17.60 rolls
Therefore we require 17.60 rolls to cover a rectangular room on all four sides.
Which decimal is equivalent to 4/15 A 0.26 B 0.2626 C 0.26 D 0.26
Answer:
0.266666....
Step-by-step explanation:
see the calculator
lol
Answer:
b
Step-by-step explanation:
read the comment
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 30+(-12)+70
B. 60+40+(-25)
C. 1/3+2/3+(-1/4)
D. -10+(-20)+1/2
Answer: A. 30+(-12)+70
Step-by-step explanation:
Commutative property of addition is given by : a+b = b+a , where a and b can be any expression of real numbers.
It basically changes the order of the so that simplification of any expression becomes easier.
In A. we use this property as
30+(-12)+70 = 30+[(-12)+70]
= 30 + [70+(-12)] [we switched order of (-12) and 17]
= 30+70-12
= 100-12
= 88
The rest of the expression already arranged accordingly, there is no need to apply commutative property to change the order of the numbers.
So the correct option is A. 30+(-12)+70.
A jar has 2 red marbles, 3 blue marbles, and 5 green marbles. Draw two marbles at random, without replacement. What is the chance that one will be red and the other blue, in any order?
Answer:
1/15
Step-by-step explanation:
Total no. of balls = 2+3+5 = 10
No. of red ball =2
Probability of 1st being red = 2/10 =1/5
Probability of 2nd being blue = 3/9 =1/3
Therefore, chance that one will be red and the other blue, in any order
= 1/5×1/3 = 1/15
-18 ×-10×5 Thanksgiving
Answer: [tex]900[/tex]
Multiply
[tex]-18*-10=180[/tex]
Multiply
[tex]180*5=900[/tex]
Note
Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)
Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)
Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)
Give an example of an odd function and explain algebraically why it is odd.
An odd function is a function of a form [tex]y=x^n[/tex] where n is an odd number.
Some examples would be functions:
[tex]y=x,y=x^3,\dots[/tex].
A formal definition of odd function is the following.
(Algebraic proof).
Let [tex]f:\mathbb{R}\to\mathbb{R}[/tex] (real function).
The function is odd if the below equation is true for all x and -x for which the function is defined:
[tex]f(x)=-f(-x)[/tex].
Hope this helps.
Find the slope of the line through points (2,-4) and (2,7)
Answer:
Undefined
Step-by-step explanation:
Use rise/run, (y2 - y1) / (x2 - x1)
Plug in the values:
(7 + 4) / ( 2 - 2)
11/0
= undefined, since you cannot divide by zero
The slope is undefined
The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Answer:
She would receive 96 points
Step-by-step explanation:
The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.
Mathematically
Y= kt
Where k is constant of proportionality
If y= 72 and t= 3
72=k3
72/3= k
24= k
So
Y= 24t
If t= 4
Y= kt
Y= 24(4)
Y= 96
Y = 96 points
She would receive 96 points
Is this a pentagon or what?? Umm sorry I forgot I’ll giv ya brainliest to the first on ...I know I can search on the internet but I just want to ask Brainly so yah....
Answer:
see below
Step-by-step explanation:
This has only 4 sides and a pentagon has 5 sides
This is a quadrilateral ( 4 sided)
This is a special 4 sided figure called a trapezoid
Answer:
Step-by-step explanation:
pentagon= 5 sides
Quadrilateral=4 sides
parallelogram=4 sides
Rhombus=4 sides
square=4 sides
Rectangle=4 sides
Trapezoid=4 sides
all these of 4 sides come under Quadrilateral.
which value of x makes this equation true -5(x - 20) = 35
Answer:
x=13
Step-by-step explanation:
Divide both sides by -5 then solve the equation for x
what is the product of 2/3 3/4 4/5 5/6 6/7
Answer:
2/7
Step-by-step explanation:
Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:
(2x3x4x5x6x)/(3x4x5x6x7)
Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)
Therefore we are just left with 2/7.
Hope this helped!
6. Which of the following function pairs are inverses?
f(x) = 2x + 3 and g(x) = [tex]\dfrac{x+3}{2}[/tex] ✔
This function pairs are Inverse.
Two types of flares are tested and their burning times are recorded. The summary statistics are given below: n = 35 n = 40 = 19.4 min = 15.1 min s = 1.4 min s = 0.8 min Construct a 95% confidence interval for the differences between the mean burning time of the brand X flare and the mean burning time of the brand Y flare.
a. 3.2 min < ?X - ?Y < 5.4 min
b. 3.6 min < ?X - ?Y < 5.0 min
c. 3.8 min < ?X - ?Y < 4.8 min
d. 3.5 min < ?X - ?Y < 5.1 min
Answer:
C. 3.8 min < ?X - ?Y < 4.8 min
Step-by-step explanation:
Let both flares be X and Y
For X
n1 = 35
Bar x1 =19.4
D1 = 1.4
For Y
n2 = 40
Bar X2= 15.1
S2 = 0.8
√(x1²/n1) + (x2²/n2)
=√ (1.4²/35)+(0.8²+40)
= 0.2683
Critical value, t = 2.032
We now have to calculate margin of error
0.2683x2.032
= 0.545 this is approximately equal to 0.5
Bar x1 - bar X2
= 19.4 - 15.1
= 4.3
At 95% confidence level
4.3+-0.5
4.3+0.5= 4.8
4.3-0.5 = 3.8
Therefore the answer is 3.8min<X-Y<4.8min
Q2. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Question:
At a local county fair, the officials would like to give a prize to 100 selected people at random from those attending the fair. As of the closing day, 12500 people have attended the fair and completed their entry form. The probability that an individual who attended the fair and completed the entry form will win a prize is:
Answer:
[tex]Probability = \frac{1}{125}[/tex]
Step-by-step explanation:
Given
Population = 12,500
Selection = 100
Required
Determine the probability that the selected person will win a prize
To do this, we simply divide the number of those that needs to be selected by the total population;
i.e.
[tex]Probability = \frac{Selection}{Population}[/tex]
[tex]Probability = \frac{100}{12500}[/tex]
Divide the numerator and denominator by 100
[tex]Probability = \frac{1}{125}[/tex]
Hence, the required probability is ;
[tex]Probability = \frac{1}{125}[/tex]
At Jack’s birthday party, 23 of the kids had balloons. 14 of the balloons were red. What fraction of the kids at the party had red balloons?
24 points! need asap
Answer:
a. DC
b. B
c. ED
Ray CD is the same as ray DC.
A ray with the endpoint A would be ray BA. The starting point would be point B and ending point would be A.
The opposite ray to ray EC is ray ED. The two rays are opposite to each other.
Bob has burn 300 calories in the past hour he didn't goes home and he's a candy bar that is 300 calories true or false is it an additive inverse?
What is h(x) = –3x2 – 6x + 5 written in vertex form?
Answer:
y= 3(x-1)^2+2
Step-by-step explanation:
The vertex form for h(x)= -3x^2-6x+5 is y= 3(x-1)^2+2.
HOPE THIS HELPED!
HAVE A GREAT DAY!
The equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The vertex form of a quadratic equation is given as y = a(x-h)² + k, where h and k are the x and y coordinates of the vertex of the parabola.
Given the equation of the parabola, h(x) = –3x² – 6x + 5. Comparing the given equation with the general quadratic equation, the value of the variables a, b, and c can be written as shown.
ax² + bx + c
–3x² – 6x + 5
Therefore, the value of a, b, and c is -3, -6, and 5.
Now, substitute the values in the equation of the vertex of a parabola, now, the value of the h and k coordinates can be written as,
h = -b/(2a) = -(-6)/(2 × -3) = -1
k = c - b²/(4a) = 5 - [(-6)²/ (4× -3)] = 8
Hence, the equation of the parabola h(x) = –3x² – 6x + 5 in the vertex form can be written as y = -3(x-1)²+8.
Learn more about Quadratic Equations:
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4.89 times 2.2? Iiiiyfedfggfdsdfhhhhhg
Answer:
10.758
Step-by-step explanation:
Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallons per minute less than the first hose.
Which number is irrational, and integer, and a real number A) -4/2 B) there is no such number
Answer:
Step-by-step explanation:
real number can be irrational or integer.
otherwise there is no number which can be irrational,integer and real (all together)
Answer: The answer is B) there is no such number.
Step-by-step explanation:
So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:
- irrational means not rational and cannot be represented by a simple fraction (like pi )
- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )
- and a real number means that it is not imaginary ( like 2i, [tex]\sqrt{-1}[/tex] )
And our choices here are:
- -4/2
- there is no such number
Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.
The formula uppercase S = StartFraction n (a Subscript 1 Baseline plus a Subscript n Baseline) Over 2 EndFraction gives the partial sum of an arithmetic sequence. What is the formula solved for an?
Answer:
[tex]a_n = 2S - a_1[/tex]
Step-by-step explanation:
Given
[tex]S = \frac{a_1 + a_n}{2}[/tex]
Required
Determine the formula for [tex]a_n[/tex]
What this question implies is to solve for [tex]a_n[/tex]
[tex]S = \frac{a_1 + a_n}{2}[/tex]
Multiply both sides by 2
[tex]2 * S = \frac{a_1 + a_n}{2} * 2[/tex]
[tex]2 S = a_1 + a_n[/tex]
Subtract [tex]a_1[/tex] from both sides
[tex]2S - a_1 = a_1 - a_1 + a_n[/tex]
[tex]2S - a_1 = a_n[/tex]
[tex]a_n = 2S - a_1[/tex]
Hence; the formula to solve [tex]a_n[/tex] is [tex]a_n = 2S - a_1[/tex]
Answer:
an=2S-a1n/n
Step-by-step explanation:
a sporting complex charges $6 to use its facility. the expression 0.25b+6 models the total cost to hit b baseballs in the bating cage. What is the cost per baseball?
Answer:
tndjxisjebducu
ejdjdnebdix
Nine times the sum of a number and 8 is equal to 7.
Answer:
Verbal expression =9(x+8) =7
Step-by-step explanation:
Let the unknown number be x
[tex]9(x+8) =7\\[/tex]
Further solution ;
[tex]9\left(x+8\right)=7\\\\\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9\left(x+8\right)}{9}=\frac{7}{9}\\\\Simplify\\x+8=\frac{7}{9}\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\frac{7}{9}-8\\\\Simplify\\x=-\frac{65}{9}[/tex]
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
I would believe it is the final answer by the way it's put! hope this helps :)
The correct inequality is 43x + 72 ≤ 1,128.
Given,
Jasmine wants to use her savings of $1,128 to buy video games and movies.
The total price of the movies she bought was $72.
The video games cost $43 each.
We need to choose the inequality that would be used to solve the maximum number of video games Jasmine can buy with her savings.
What are the types of inequality?We have,
< - less than
> - greater than
≤ - less than and equal
≥ - greater than and equal
Find the total cost of the movies.
= $72
Find the cost of each video game.
= $43
Find the savings Jasmine has.
= $1,128
The amount Jasmine can use to buy movies and video games is $1,228.
So, we can use less than or equal to $1,228 to buy movies and video games.
i.e ≤ $1,128
We have,
Cost of movie = $72
Cost of each video game = $43
We can write the inequality as:
$72 + $43x ≤ $1,128
Where x is the number of video games.
Thus the correct inequality is 43x + 72 ≤ 1,128.
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solve
-X^2+7(y+2)-1 x=5 y=-9
Answer:
The expression = -75
Step-by-step explanation:
Evaluate: Enter a number for each variable.
−x2+7(y+2)−1
x=
5
y=
-9
Evaluate for x=5,y=−9
−52+7(−9+2)−1
−52+7(−9+2)−1
=−75
determine whether the given vectors are orthogonal parallel or neither. (a) u=<-9,9,3>, v=<12,-12,-4>
Answer:
parallel
Step-by-step explanation:
u = <-9,9,3>
v = <12,-12,-4>
test if the given vectors are orthogonal ( dot product = 0 )
we have to find the dot product of the vectors to determine is it will be = 0
u*v = (-9)*(12) + (9)*(-12) + (3)*(-4) = -108 -108 -12= -228 ≠ 0
hence the given vectors is not orthogonal
next check if the vectors are linearly dependent
(-9/12 ) = - 3/4
(9/-12) = - 3/4
( 3/-4 ) = - 3/4
since they are linearly dependent then they are parallel
A corollary needs which of the following geometric terms to be proven true?
A Inverse
B. Identity
C. Theorem
D. Common notion
A corollary needs theorem to be proven true.
What is corollary?" A corollary is defined as the statement which either need little explanation or no explanation to prove true. It is based on already proven statements."
According to the question,
Inverse is not consider as already proven statement. It is function which needs to calculate.
Hence, Inverse is not true.
Identity are formula which is not a geometric term.
Hence , identity is not true.
Theorem are geometric term, which can be used to prove other statements true as it is already proved.
Hence, corollary needs theorem to be proven true.
Common notion are like postulates which are consider as without proof. Common notion are not limited to geometry.
Hence, common notion is not true.
Therefore, A corollary needs theorem to be proven true.
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