A point that has the polar coordinate [tex](r,\theta)[/tex] can also be represented by [tex](r, \theta+2n\pi)[/tex] and [tex](-r, \theta+(2n+1)\pi)[/tex].
From the list of given options, [tex](r,\theta)[/tex] and [tex](-r, \theta+\pi)[/tex] are represents the same point
Recall that:
[tex](r, \theta+2n\pi)[/tex] and [tex](-r, \theta+(2n+1)\pi)[/tex] represents the same point
Where n is an integer
Assume [tex]n = 0[/tex]
[tex](r, \theta+2n\pi)[/tex] becomes
[tex](r, \theta+2n\pi) = (r, \theta+2\times 0 \times \pi)[/tex]
[tex](r, \theta+2n\pi) = (r, \theta+0)[/tex]
[tex](r, \theta+2n\pi) = (r, \theta)[/tex]
Similarly,
[tex](-r, \theta+(2n+1)\pi)[/tex] becomes
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(2\times 0+1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(0+1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+(1)\pi)[/tex]
[tex](-r, \theta+(2n+1)\pi)=(-r, \theta+\pi)[/tex]
This means that: [tex](r,\theta)[/tex] and [tex](-r, \theta+\pi)[/tex] represent the same point.
Hence, (d) is correct.
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The length of each base of a trapezoid is shrunk to one-third its original length and the height of the trapezoid is tripled.
Lisa claims that the area of the new trapezoid is one-third the area of the original trapezoid.
Which expression best uses the dimensions of the new trapezoid to compare its area to the area of the original trapezoid in order to
determine if Lisa's claim is accurate?
A
lh + b) 3h
C С
3(02+)31
D
9514 1404 393
Answer:
A
Step-by-step explanation:
The formula for the area of the original trapezoid is ...
A = 1/2(b1 +b2)h
Using 1/3 the base length and 3 times the height, the area of the new trapezoid is ...
A = 1/2((1/3b1) +(1/3b2))(3h)
= (1/2)(1/3)(b1 +b2)(3h)
= 1/6(b1 +b2)3h . . . . . . . . matches choice A
david earns an annual salary of $72100 paid biwewkly based on a regular workweek of 36.25 hours. His company generously pays all overtime at twice his regular wage. If david worked 85.5 hours over his course of two weeks, what are his gross earnings.
Answer:
hgggggg
Step-by-step explanation:
Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?
SsxcAnswer:
Step-by-step explanation:
Find the length of side y.
y=_ft
Answer:
y= 18.582
⨝⨝⨝⨝⨝⨝⨝⨝⨝
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answer:
omg lol look at the picture are u that guy
Step-by-step explanation:
its me from web2.0 :KOBE2482
D its D
A soft drink machine outputs a mean of 2222 ounces per cup. The machine's output is normally distributed with a standard deviation of 44 ounces. What is the probability of filling a cup between 2525 and 3030 ounces? Round your answer to four decimal places.
Let X be the random variable for the output of the machine. Transform X to a standard normal random variable Z, using the rule
Z = (X - µ)/[tex]\sigma[/tex]
where µ and [tex]\sigma[/tex] are the mean and standard deviation of X.
Pr[25 < X < 30] = Pr[(25 - 22)/4 < (X - 22)/4 < (30 - 22)/4]
… = Pr[3/4 < Z < 2]
… = Pr[Z < 2] - Pr[Z < 3/4]
… ≈ 0.9773 - 0.7734
… ≈ 0.2039
(HELP FINAL EXAM) If two states are selected at random from a group of 40 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement.
Answer:
With replacement, there are 1600 possible outcomes.
Without replacement, there are 1560 possible outcomes.
Step-by-step explanation:
Chosen with replacement:
State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So
40*40 = 1600
With replacement, there are 1600 possible outcomes.
Chosen without replacement:
State and chosen and is not replaced.
So, for the second state, there will be only 39 possible outcomes.
40*39 = 1560
Without replacement, there are 1560 possible outcomes.
ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE QUICK ONLY ANSWER IF YOU REALY KNOW !!
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Solve the system by substitution.
9y - 6 = x
2x - 8y = 18
Answer:
Step-by-step explanation:
If j ll k which could be one of the angle measures
A.25
B.37
C.60
D.84
Answer:
Hii friend
I am from India and u ??
Roshini here !!!!
Which statement is given in the diagram?
Answer:
Both shapes ADE and ABC are the exact same thing because those dashes mean that they match up with another.
Step-by-step explanation:
help pls i think it’s B im not sure tho
Answer:
yes i think its b
Step-by-step explanation:
$16000 increased by 20%
Tell me the answer plssss
Answer:
16,000, percentage increased by 20% (percent) of its value = 19,200
Step-by-step explanation:
Answer:
Hope the answer is by substracting
15999.8
Which one is the best prediction! Please and no link answer :(
Answer:
[tex]Prediction = 35[/tex]
Step-by-step explanation:
Given
The attached table
Required
Expected number of Daffodil when N = 150
First, we calculate the probability of having a Daffodil.
[tex]Pr = \frac{Daffodil}{Total}[/tex]
This gives:
[tex]Pr = \frac{14}{14+10+24+12}[/tex]
[tex]Pr = \frac{14}{60}[/tex]
Simplify
[tex]Pr = \frac{7}{30}[/tex]
When there are 150 flowers, the prediction of Daffodils is:
[tex]Prediction = Pr * N[/tex]
[tex]Prediction = \frac{7}{30} * 150[/tex]
[tex]Prediction = 7*5[/tex]
[tex]Prediction = 35[/tex]
1) I can find my volume if the volume of the cylinder is multiplied
by Who am 1?
b. Prism
a. Cone
d. Sphere
c. Pyramid
2) The volume is that of a cylinder that has the same base and
height with me. Who am I?
c. Prism
d. Pyramid
a. Cone
b. Cylinder
3) The volume of the pyramid is of the volume of what figure?
a. Cone
b. Cylinder
C. Prism
d. Pyramid
4) A rectangular prism has 10 cm length, 4 cm width and 5 cm
height. What is the length of the rectangular pyramid?
d. 20 cm
b. 5 cm
c. 10 cm
a. 4 cm
Additional Activities
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm, while its height is 10
cm. She wanted to transfer some of her clay to her cone-
shaped container. What is the volume of the cone to be filled
and height with the can?
You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.
How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
V = 4/3 × πr³
Where:
V is the volume of a sphere.r is the radius of a sphere.Note: The volume of a cylinder is equal to πr² × r.
Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).
How to calculate the volume of a cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
Note: The volume of a cylinder is equal to πr²h.
Therefore, 1/3 × πr²h (volume of a cone).
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid is calculated by using this formula:
Volume = 1/3 × base area × height
Volume = 1/3 × πr²h.
In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.
How to calculate the volume of Diane's cone?Mathematically, the volume of a cone is calculated by using this formula:
V = 1/3 × πr²h
V = 1/3 × 3.14 × 6² × 10
Volume, V = 376.8 cm³.
Read more on volume of a cone here: https://brainly.com/question/3029844
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A set of books sits on a shelf at a store. This line plot
shows the thickness of each book. Amelie buys the
thickest book on the shelf. Raj buys one of the thinnest
books on the shelf.
How much thicker is Amalie's book than Raj's book?
Answer:
The difference in their thickness is: [tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
Given
The attached plot which represents thickness of books
Required
Difference in the thickness of Amalie's (A) and Raj's (R)
From the question, we understand that:
[tex]A \to[/tex] Thickest
[tex]R \to[/tex] One of the least
This implies that:
[tex]A = 4[/tex]
[tex]R = 1\frac{1}{2}[/tex]
The difference (d) is:
[tex]d = 4 - 1\frac{1}{2}[/tex]
[tex]d = 2\frac{1}{2}[/tex]
Answer:
2 1/2
Step-by-step explanation:
1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5
Robert purchased 136/5 yards of fabric to make curtains. What is the amount of fabric he purchased expressed as a decimal?
Answer:
27.2
Step-by-step explanation:
all you have to do is divide the numerator by the denominator.
The amount of fabric he purchased expressed as a decimal will be;
⇒ 27.2
What is Decimal number?A decimal number is a number that consists of a whole and a fractional part.
Given that;
Robert purchased 136/5 yards of fabric to make curtains.
Now,
Since, Robert purchased 136/5 yards of fabric to make curtains.
Hence, It can be written as;
⇒ 136/5 = 27.2
Thus, The amount of fabric he purchased = 27.2
Learn more about the decimal number visit:
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Which of these equations has NO solution? A. 3 ( 2 x + 7 ) = 6 ( x + 4 ) − 3 B. 3 ( 6 x − 5 ) = 3 ( 6 x − 5 ) + x C. 8 ( x − 3 ) + 14 = 2 ( 4 x + 5 ) D. 13 x − 7 = 12 ( x − 1 ) + x + 5
Answer:
B ig
Step-by-step explanation:
A: 3(2x+7) = 6(X+4) - 3
<=> 6x+ 21 = 6x + 24 - 3 = 6x + 21
<=> 0 = 21 - 21 = 0
B: 3(6x-5)= 3(6x-5)+x
<=> 18x-15= 18x - 15 + x = 19x - 15
<=> 0 = x
C: 8(x-3) + 14= 2(4x+5)
<=> 8x - 24 + 14 = 8x - 10 = 8x + 10
<=> 0 = 0
D: 13x - 7 = 12( x - 1) +x + 5
<=> 13x - 7 = 12x -12 + x + 5 = 13x - 7
<=> 0 = 0
HELP!! I WILL give Brainly!! LINKS WILL BE REPORTED. THANK YOU!!
Answer:
E
Step-by-step explanation:
We can see that the graph is shifted up 3 units
to do this you need to add 3 to the equaton
it's E
no links I can use structure to evaluate expressions with more than one term.
A.
strongly agree
B.
agree
C.
disagree
D.
strongly disagree
I wish I could help but I don't know
Helpppppp please! I’ll give Brainliest!! Find the area of the parallelogram shown below. The formula to find area of a parallelogram is base x Height
Answer:
a = base × height
= 100yds × 52yds
= 5200 yds^2
Please help!! Lots of points
Is anyone good at geometry if so can someone help me please ?
NO LINKS PLEASE
What’s the answer and how do you figure these out?
<2 = 35° because they form an S angle. S angles are alternating angles
Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
Worth 10 please help
Answer:
b,c and A
Step-by-step explanation:
Answer:
Honestly I dont really know
Step-by-step explanation:
What are the first 4 terms in the sequence?
A(n)=2(1/3)^(n-1)
Answer:
something
Step-by-step explanation:
(6,-7,8...)
What is 7 divided by 8360 in long division
Answer: 8.373205741626794e-4
Step-by-step explanation: Thant is what i got on my calculator
Answer:
1194 R2
Step-by-step explanation:
7 | 8360
7 (1000)
_______
1360
7 (100)
_______
660
63 (90)
_______
30
28 (4)
_______________
2 | 1194
Please help me due today !!