The area inside one leaf of the rose: r=6sin(6θ) is 3π/2 after evaluating the integral over the limit 0 to π/6
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
r=6sin(6θ)
First we have to find the limits:
r = 0
6sin(6θ) = 0
θ = nπ/6
n = 0 to n = 1
θ = 0 to θ = π/6
[tex]\rm Area = \int\limits^{\dfrac{\pi}{6}}_0 {6sin6\theta} \, d\theta[/tex]
After calculating the above definite integral, we will get:
Area = 3π/2
Thus, the area inside one leaf of the rose: r=6sin(6θ) is 3π/2 after evaluating the integral over the limit 0 to π/6
Learn more about integration here:
brainly.com/question/18125359
#SPJ4
Why is not the term perimeter used instead of circumference?
Answer:
Both words are used to talk about how long the boundary is of a 2D figure. Think of circumference as a special case of finding the perimeter. The term circumference refers to the perimeter of a figure without sides or something like a circle or arc.
So if we were to look at a rectangle and try to determine how long the boundary is we would use perimeter. On the other hand, if we have a circle we have no way to track how long each side is therefore we use circumference.
Perimeter is a wide term which means the total length of the surrounding (lines ) of the 2D figure.
circumference is the special case of the perimeter in which perimeter of Arc or circular lines are taken in count .
Describe the transformation of f(x) = cos x to g(x) = cos x – 4.
A. f(x) is shifted 4 units left to g(x).
O B. f(x) is shifted 4 units down to g(x).
O C. Rx) is shifted 4 units right to g(x).
O D. f(x) is shifted 4 units up to g(x)
The f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = cosx
The above function is a parent function.
Transformed function:
f(x) = cosx - 4
As we can see in the graph of, g(x) is shifted 4 units down from the function f(x).
Thus, the f(x) is shifted 4 units up to g(x) is the correct choice because f(x) is up 4 units from the g(x) option (D) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Answer: f(x) is shifted 4 units down to g(x)
Step-by-step explanation:
What is the length of the hypotenuse?
Answer:
55.866 ft
Step-by-step explanation:
Use Pythagorean Theorem:
a² + b² = c²
(39)² + (40)² = c²
3121 = c²
Square root of both sides
c = 55.866 ft should be the answer.
Hope this helps
Find the area of the stained glass window shown if the diameter of the semi-circle is 63 inches. Use 3.14 for pi. Round your answer to the nearest square inch, and enter the number only.
Answer:
1558
Step-by-step explanation:
1/2(63) = radius = 31.5 /// pi(31.5)^2 = 3115.665 /// 3115.665/ 2 = the area of the semi circle is 1558.
Answer: 1413
Step-by-step explanation:
i need some real help pleas click on
Answer:
im helping
Step-by-step explanation:
I clicked on this..?
Please help need now
The total length of the paths will be 12.6 yards. Then the correct option is G.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.
A city park is in the shape parallelogram as shown.
Two paths will be installed along the diagonals.
Then the total length of the paths will be
Total length = 2 (3.5 + 2.8)
Total length = 2 (6.3)
Total length = 12.6 yards
More about the parallelogram link is given below.
https://brainly.com/question/11220936
#SPJ1
An animator draws 120 cels to make a 5 seconds of a 12-second sequence of a film. How many more cels does she need to draw to complete the film sequence?
(Use a proportion please, also it would be nice if there was an explanation included with the answer!)
Answer:
She needs 168 more cels to draw to complete the film sequence
Step-by-step explanation:
120 Cells in 5 seconds
You want 12 seconds.
Ratio (Proportion)
120:5
Lets find the "unit rate" of the proportion.
120/5 = 24
So the unit ratio is 24:1
Now, we can deduce to it being:
120:5
240:10
264:11
288:12
She has 120 done.
So, 288-120 = 168.
She needs 168 more cels to draw to complete the film sequence
Alejandro was picked by his teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the board. was he correct? explain your reasoning
Using the formula for the closest integer, it is found that Alejandro is not correct, as the integer is of 48 and not 52.
What is the integer that has the square root closest to n, without going over?The integer that has square root n is given by:
S(n) = n².
Hence the integer that has a square root closest to n is given by:
C(n) = n² - 1.
In this problem, we want the square root closest to n = 7, hence:
C(7) = 7² - 1 = 48.
Which is a different value than 52, hence Alejandro is not correct.
More can be learned about square roots at https://brainly.com/question/27678604
#SPJ1
What is mFGH?
A.-39 degrees
B. -52 degrees
C.-78 degrees
D.- 141 degrees
Answer:
78
Step-by-step explanation:
You add 115 and 167 which will give you 282.
Subtract 282 from 360, which will equal 78.
Please help me on this!
Answer:
B. The amount of money she saves each week is 100% the correct answer
Step-by-step explanation:
325 is the amount she had
125 is the amoun she adds every week to her savings
Have a nice day! :)
learning task 2 a. calculate the mean, meadian, and mode
1. 1, 2, 3, 4, 5,
2. 2,3,4,5,6,6
3.6,7,5,4,5,6,2,5 .
The mean, median and mode of the data sets are as follows:
2.7 , 2.5 and 1 4, 4 and 2 and 64.8, 5 and 5What are mean, median and mode?
The median is the middle value in a list ordered from smallest to largest.
The mode is the most frequently occurring value on the list.
The mean is the average of the distribution.
Therefore,
1. 1, 2, 3, 4, 5
mean = 1 + 1 + 2+ 3 + 4 + 5 / 6 = 16 / 6 = 2.7
median = 2 + 3 / 2 = 5 / 2 = 2.5
mode = 1
2, 2,3,4,5,6,6
mean = 2+2+3+4+5+6+6 / 7 = 28 / 7 = 4
median = 4
mode = 2 and 6
2,3, 4, 5, 5, 5,6, 6,7
mean = 3+6+7+5+4+5+6+2+5 / 9 = 43 / 9 = 4.8
median = 5
mode = 5
learn more on mean, mode and median: https://brainly.com/question/24141534
#SPJ1
Calculate the volume of the prism shown below. 4 cm 2 cm 8 cm Volume: cm3
Answer:
64
Step-by-step explanation:
4*2=8*8=64
ur welcome
64 cm3
Find the value of x in the following 2x/7-3=2
Answer:
X=4
Step-by-step explanation:
Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x - 4.
y = 3x + 7
y = 3x - 7
y = 1/3x + 2
y = 1/3x - 2
Answer:
Parallel" means same slope. Our line is y=3x-4 has slope m=3. So, our new line should also have slope m=3; we can immediately eliminated choices C and D.
Step-by-step explanation:
We can write our line y = 3x+b, and we can use the point given (3,2) to solve for b.
2 = 3*3 + b
b = -7
The required line is y = 3x - 7, choice B.
Compare to slope intercept form
slope=m=3parallel lines have equal slope
Equation in point slope form
y-y1=m(x-x1)y-2=3(x-3)y-2=3x-9y=3x-7Option B
......................
Answer:
............................
Step-by-step explanation:
Which definition best describes a sphere?
A sphere is a three-dimensional figure that has a circular base and tapers to a point.
A sphere is three dimensional and round, and every point on its surface is the same distance from its center.
A sphere is a three-dimensional figure that has circular or oval bases that are connected by a curved surface.
A sphere is two dimensional and round, and every point on its surface is a different distance from its center.
Answer:
I think its Bfind the range of the following data :
21 , 16 , 30 , 15 , 16 , 18 , 10 , 24 , 26 , 20
please please urgentttt
!!!!!
its geometry
Answer:
6,812,019 ft cubed
Step-by-step explanation:
1/3(b*h)
1/3(153^2*873)
1/3(23,409*873)
1/3(20,436,057) = 6,812,019
13
6
12
Find the area of the parallelogram.
square units
Answer:
area=72
Step-by-step explanation:
A=bh=12·6=72
What is the gradient of a line perpendicular to a line with a gradient of 2?
Answer:
- 1/2
Step-by-step explanation:
Slope, m , is the sama as 'gradient'....
if slope of one line is m, the perpindicular is -1/m
2 then perpindicular = - 1/2
[tex]\Large\texttt{Answer\::}[/tex]
-1/2
[tex]\Large\texttt{Calculations\::}[/tex]
If lines are perpendicular to each other , their gradients are opposite reciprocals of each other .
In order to find the opposite reciprocal of a number , we should change it's sign and turn it over as follows :
2 --> -2 --> [tex]-\displaystyle\frac{1}{2}[/tex]
So the gradient of the line perpendicular to the line with a gradient of 2 is -1/2.
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
What is a good estimate and the actual measurement for this angle measurement A110 and 109 B95 and 96 c 90 And 91 D 70 and 71
Answer:
D. 70 and 71
Step-by-step explanation:
It is an acute angle which is less than 90°
Solve the system. And explain please cause I have 4 more
The second photo is an example of what needs to be done, excuse the bad handwriting lol.
Answer:
Wong was conducting a field study in the Amazon rainforest when he
discovered a prokaryotic organism that has a cell wall and circular
chromosomes. Which of the
Suppose two vectors point in opposite directions. This means their cross product must be zero. True or false?
It is true if two vectors point in opposite directions. This means their cross product must be zero.
What is cross product?Cross product is a vector product of two vectors in the three dimensional vector space.
In the case when the two vectors point in opposite directions so there cross product should be zero.
Impact on two points:
In the case when the two vectors point in opposite directions so there cross product should be zero.
Like
A*B = [A][B] sin
Here theta is be the angle that lies between them
So,
A*B = [A][B] sin 180
So, A*B = 0
hence, the given statement is true.
learn more about vectors here:
brainly.com/question/21797532
#SPJ4
Suppose △JMN≅△KQR.
Which congruency statements are true?
Select each correct answer.
∠M≅∠Q
NJ¯¯¯¯¯≅KQ¯¯¯¯¯¯
∠N≅∠M
∠R≅∠K
QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯
MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯
The congruency statements that are true about the congruent triangles are: ∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR.
What are Congruent Triangles?Congruent triangles are triangles whose corresponding parts (angles and sides) are congruent to each other.
So, if △JMN ≅ △KQR, it means the corresponding angles and sides of both triangles are congruent.
Therefore, the true congruency statements are:
∠M ≅ ∠Q; QK ≅ MJ; and MN ≅ QR
Learn more about congruent triangles on:
https://brainly.com/question/1675117
#SPJ1
Which combination of factors is most likely to produce a significant value for an independent-measures t statistic?.
Answer: A large mean difference and small sample variances
Step-by-step explanation:
Effect size (η) is a statistical measure that determines the strength of the association (numerically) between two variables. For example, if we have data on the weight of male and female candidates and we realize that, on average, males are heavier than females, the difference between the weight of males and the weight of female candidates is known as the effect size.
The larger the effect size, the larger the weight difference between males and females will be.
Statistic effect size helps us in analyzing if the difference is factual or if it is affected by a change of factors.
In hypothesis testing, effect size, power, sample size, and critical significance level are related to each other.
The effect size formula for a hypothesis test of mean difference is:
η = [tex]\frac{x1-x2}{\sqrt[]{8^2} }[/tex]
The denominator s² is the combined sample variance.
[tex]8^2 =[/tex] ⊕
The effect size is affected by two components:
Sample mean difference
Sample variance.
As the sample mean difference is directly proportional to the effect size, on increasing the sample mean difference value the effect size will also increase.
Ans the sample variance is inversely proportional to the the effect size, on decreasing the sample variance value the effect size will increase and vice-versa.
Thus, the correct option is A large mean difference and small sample variances
Answer this question please
Answer:
C
Step-by-step explanation:
Answer:
C
Breh its right their!
3. Don's Clothing advertised a clothing sale. On the first day, all
clothing was marked 1/10 off. On the second day, unsold items
were marked 2/5, the third day, 3/10 off, and so on. If the
markdowns continued this way, on which day were prices
marked 4/5, or 80% off?
On the fourth day, the prices were marked 4/5, or 80% off based on the systematic markdowns.
What is a markdown?A markdown is a reduction in the price of a good.
By offering markdowns, Don's Clothing intends to sell more quantities at reduced prices to customers.
Data and Calculations:Markdowns
First-day 1/10
Second-day 2/5
Third-day 3/10
Fourth-day = 4/5 (3+1)/(10/2)
Thus, on the fourth day, the prices were marked 4/5, or 80% off based on the systematic markdowns.
Learn more about markdowns at https://brainly.com/question/3099549
#SPJ1
Find the perimeter of the polygon. a trapezoid with bottom base of 8 centimeters, top base of 5 centimeters, and sides of 6 centimeters. a. 25 cm c. 30 cm b. 20 cm d. 28 cm
The perimeter of the polygon, which is a trapezoid with the given parameters, is: A. 25 cm.
What is the Perimeter of a Polygon?To find the perimeter of a polygon, sum all the length of the sides of the polygon.
Given the sides of the trapezoid as 8 cm, 5 cm, and two sides of 6 cm each
Perimeter = 8 + 5 + 6 + 6
Perimeter = 25 cm.
Learn more about perimeter of polygon on:
https://brainly.com/question/3310006
#SPJ4
The legs of the base of a right triangular
prism measure 9 in. and 12 in. The prism has
a height of 5 in. What is the surface area of
the prism?
Answer:
the surface area of the prism = 288 in²Step-by-step explanation:
Let S be the surface area of the prism
B be the area the base (right-angered triangle)
L be the lateral surface area
Formula :
S = 2×B + L
……………………
[tex]B=\frac{12\times 9}{2} = 54[/tex]
[tex]\text{Length \ of \ the \ third \ side}=\sqrt{12^{2}+9^{2}} =15[/tex]
L = 5×(9 + 12 + 15) = 180
S = 2×B + L
S = 2×54+180 = 288 in²
please help, will mark brainliest!!
Answer:
$12000
Step-by-step explanation:
P=CRT
C=cost
R=rate
T=time
P=3000 x 8 x 50/100= $12000
