Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To find the dimensions of a line.
We know that;
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Thus, The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
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Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.
Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Slope of line s:
(b - 0)/(0 - (-a)) = b/aRotation 90 clockwise rule:
(-a, 0) → (0, a)(0, b) → (b, 0)The slope of line t:
(0- a)/(b - 0) = -a/b = -a/bThe product of slopes:
b/a*(-a/b) = -1Answer:
b/a; (b, 0); -a/b; -1Step-by-step explanation:
Given:
Slope of Line S - (b - 0)/(0 - (-a)) = b/a
Remember the clockwise rule:
(-a, 0) → (0, a)
(0, b) → (b, 0)
Slope of line T - (0- a)/(b - 0) = -a/b = -a/b
The product of slopes: b/a × (-a/b) = -1
So, finally, our answer is:
b/a; (b, 0); -a/b; -1Carry On Learning!
In the figure below, points L, J, M, N, and P lle in plane Z.
Points H and K do not lie in plane Z.
For each part below, fill in the blanks to write a true statement.
H
Check
1717
i
K
(a) Another name for plane Z is plane.
(b) and M are distinct points that are collinear.
(c) N,,, and are distinct points that are coplanar.
(d) Suppose line HL is drawn on the figure.
Then HL and are distinct lines that intersect
a) Another name for plane Z is LN plane.
b) PHJ and M are distinct points that are collinear.
c) N and K are distinct points that are coplanar.
d) HL and HK are distinct lines that intersect
a) The common point in lines LN and PN is N and it is the intersection point.
b) Any three non-collinear locations inside a plane can be used to give it a name. Points H, J, and K cannot be combined because an unlimited number of planes cross through them. Think about the flat piece of paper rotating about this axis (like a propeller). We can only build one specific plane if the points are not all along the same line.
I'll choose P, H, and J as the non-collinear points to give the object the name Plane PHJ. There may be other solutions.
c) Because they are on the same line, points H, J, and K are collinear. Fill up the answer box by selecting either H or K. I'll choose point K.
d) Line HK and point P are parallel. Both of them are present on the same flat piece of paper or on the same flat plane.
That flat plane can be compared to the surface of the earth, but point N is located underneath. Therefore, the ground plane and point N wouldn't be coplanar.
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What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower?
modulus = StartRoot 3 EndRoot ; argument = StartFraction pi Over 18 EndFraction
modulus = StartRoot 18 EndRoot; argument = StartFraction pi Over 3 EndFraction
modulus = 27; argument = StartFraction pi Over 3 EndFraction
modulus = 729; argument = StartFraction pi Over 18 EndFraction
Answer:
[tex]|z| = 27[/tex] -- Modulus
[tex]\theta = \frac{\pi}{3}[/tex] --- Argument
Step-by-step explanation:
Given
[tex]((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]
Required
Determine the modulus and the argument
We have that:
[tex]z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6[/tex]
Expand:
[tex]z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]
[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex]
A complex equation can be expressed as:
[tex]z = |z| e^{i\theta}[/tex]
Where
[tex]|z| = modulus[/tex]
[tex]\theta = argument[/tex]
Where
[tex]e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})[/tex]
So:
[tex]z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6[/tex] becomes
[tex]z = 27(e^{i\frac{\pi}{18}})^6[/tex]
By comparison:
[tex]e^{i\theta} = (e^{i\frac{\pi}{18}})^6[/tex]
This gives:
[tex]{i\theta} = i\frac{\pi}{18}}*6[/tex]
[tex]{i\theta} = i\frac{6\pi}{18}}[/tex]
[tex]{i\theta} = i\frac{\pi}{3}}[/tex]
Divide through by i
[tex]\theta = \frac{\pi}{3}[/tex]
Hence, the modulus, z is:
[tex]|z| = 27[/tex]
And the argument [tex]\theta[/tex] is
[tex]\theta = \frac{\pi}{3}[/tex]
Answer: C. M=27 A=pi/3
Step-by-step explanation:
edge
(PLS I NEED IT TODAY)
A cash register contains coins. • 10 pennies • 11 nickels • 13 dimes • 6 quarters A cashier will randomly choose two coins one at a time without replacement. What is the probability that the cashier will choose a penny first, followed by a dime?
F 13/160
G 1/12
H 13/245
J 7/12
♡ Answer ♡
G) 1/12
♡ Step-by-step explanation ♡
In order to figure out this problem, we have to take a few relatively simple steps.
First, we must count the total number of coins in the cash register. Do not change the value of these coins. Simply take the numbers listed in the problem and add them up. Your process for completing this step should look something like this: 10+11+13+6 equals 40. With this being said, there are 40 coins in the cash register.
Next, we must remember the values of the two coins the question is asking for: pennies and dimes. Keep in mind that, out of all 40 coins, 10 of them are pennies and 13 of them are dimes.
Then, we write the fractions used to find the answer to this problem. In the question, the cashier (hypothetically) draws a penny first, and then a dime. This means a penny is drawn before a dime is drawn. (Although it seems like a miniscule detail, this knowledge is actually something extremely important to remember. This small piece of information can actually change the entire answer if not used properly.)
In this problem, the cashier would choose a single penny out of the 10 in contrast to the total 40 coins. Since there are 10 pennies overall, and 40 coins overall, the probability of choosing a penny first is 10/40.
After we complete the probability of choosing a penny before all else, we must find the probability of choosing a dime after choosing a penny. Since the dime will be chosen after the penny is chosen, one coin will be gone: the chosen penny. So, the total amount of coins within the cash register changes (or more specifically decreases (by 1)) from 40 to 39. However, the amount of dimes, 13, stays the same. With this information in mind, we can write a fraction of 13/39 for the probability of choosing a dime after choosing a penny.
Finally, now that we have both probability fractions, we can figure out the answer to the question. In order to do this, we multiply and simplify both fractions. 10/40*13/39 is 130/1560. 130 ÷ 130 is 1. 1560 ÷ 130 is 12. 1 ÷ 12 can also be written as 1/12. Therefore, the answer to this problem is G) 1/12.
(The paragraph and author's note below are technically optional thought processes and information, but read them if you wish. Although I would recommend reading further, considering another way to solve the question is mentioned, it is entirely you (the reader's) choice.)
You can also check this answer through the other/alternate way of solving this problem: by simplifying both probability fractions before you multiply them. 10/40 can be simplified to 1/4. 13/39 can be simplified to 1/3. After doing this, we multiply both simplified probability fractions in order to find, or in this case check, the answer. 1/4*1/3 is 1/12. 1/12 is the same fraction as the one present in choice G. This is the same answer as the one we previously got. This enforces the idea that G) 1/12 is indeed the answer to this question.
A/N (Author's Note): Although it took quite a while to jot down, this was truly a blast to write and explain! I hope this helped those that needed/wanted it. Have a wonderful week reader(s)!
Evaluate the following expression 1/10^o
Answer:
1
Step-by-step explanation: anything raised to zero is one
Answer:
1
Step-by-step explanation:
anything to the power of zero is equal to 1
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Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i
Answer:this did not work for me
Step-by-step explanation:
Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from home. What equation models her distance from home, y, as a function of time, x?
Answer:
The equation that models her distance from home, y, as a function of time, x will be:
y = 3.5xStep-by-step explanation:
We know that the slope-intercept form of a linear function is
y = mx+b
Here m is the slope and b is the y-intercept
Please note that slope is also termed as 'rate of change'.Given that Aniyah is driving home at a constant speed.
at t = 20 minutes, she has covered 70 miles
so the rate of change = 70/20
= 3.5 miles per minute
Let y be the distance from homeLet x be the timeFinding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)
y = mx+b
70 = 3.5(20) + b
b = 70 - 70
= 0
Thus, the equation becomes
y = mx+b
y = 3.5x + 0
y = 3.5x
Therefore, the equation that models her distance from home, y, as a function of time, x will be:
y = 3.5x5.) Which situation can be represented by the equation y = 74x? A A company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours. B A restaurant serves a total of y meals in one day, in which 74 meals are served during the first hour and x meals are served during the remaining hours. C A company manufactures a total of 74 drinking glasses every hour, with x of the glasses made of clear glass and y of them made of blue glass. D A restaurant prepares a total of y batches of pizza sauce from 74 pounds of tomatoes, with each batch weighing x pounds.
plsss help i neeeeed it plssssss
Answer:A
Step-by-step explanation:
Carla has a bookcase with 4 shelves.she puts 6 bears in a row on each shelf. How many bears does she have? Draw a picture and write an equation to solve
NEED HELP ASAP
WILL GIVE BRAINLIEST
(DO NOT JUST TAKE POINTS OR I WILL REPORT YOU!!)
Matt owes his sister $300. He mows lawn’s after school and on the weekends. He charges $30 a lawn, but pays his friend Steven $10 to help. Matt plans to repair his sister with half of what he earns on each lawn mowed. Which statements are correct?
A) Matt has to mow 15 lawns to pay back $100 to his sister
B) The explicit expression for the situation is 300+10x
C) Matt will have to mow 30 lawns to pay $300 back to his sister
D) Matt reduces his debt to his sister by $10 each lawn he mows
E) This situation can be expressed recursively as Sn=Sn-1-10,S0=300
Answer:
it is c and d
Step-by-step explanation:
if he pays his friend 10 out of the 30 he has 20 left, then he repays his sister half of what get gets from each lawn, therfore he gives her 10 each lawn, the rest is self explanitory
i need help with some questions
Answer:
I will try doing it
Step-by-step explanation:
which are the questions
8
Find the slope of the line that passes through the points (10,8) and (6, 14).
Write your answer as a simplified fraction.
Rewrite the function by completing the square. f(x)=x^2-12x-29
Answer: f(x)=(x+(-6))²+(-65)
Step-by-step explanation:
f(x)=x²-12x-29
f(x)=x^2-2(x)(6)+6^2-6^2-29
f(x)=x^2-12x+6*6-6*6-29
f(x)=x^2-12x+36-36-29
f(x)=(x-6)²-65
f(x)=(x+(-6))²+(-65)
Answer:
(x-6)^2-65
Mark me as brainlist #
Please dont steal I just need a bit of help here I would really appreciate it I will give brainless
Answer:
7.25Step-by-step explanation:
I gave you the answer earlier too!
for more info !
there s a theorem called MIDPOINT THEOREMWhich means the 3rd side of the triangle is equal to 1/2 of the line drawn by joining the mid points
so AB=1/2of YZwhich means
2x-4 = 1/2×21
thus, 2(2x-4) =21
=> 4x-8 = 21
4x = 29
x= 29/4 = 7.25A crew of highway workers paved 12 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
0.857 miles in 1 hour
Step-by-step explanation:
It is given that,
A crew of highway workers paved 12 mile in 14 hour.
We need to find how much will they pave in 1 hour if they work at the same rate.
14 hours = 12 miles
To find how much they pave in 1 hour, we must divide 12 by 14 as follows :
[tex]1\ \text{hour}=\dfrac{12}{14}\ \text{miles}\\\\=0.857\ \text{miles}[/tex]
Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.
What is the area of a rectangular room that is 9 3/5 meters long and 8 3/4 meters wide
Answer:
84
Step-by-step explanation
Basically you just have to do 9 3/5*8 3/4. Then you get 84 as the final answer
I hope this helps!!
The area of the rectangular room would be 84 square meters.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A rectangular room that is 9 3/5 meters long and 8 3/4 meters wide
According to the given question, we can write the dimension as:
The width of the room = 8 3/4 meters = 35/4 meters
The length of the room = 9 3/5 meters = 48/5 meters
The area of the room = width of the room × length of the room
The area of the room = 35/4 × 48/5
Apply the multiplication operation,
The area of the room = 84 square meters
Therefore, the area of the room is 84 square meters.
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William bought 2.35 pounds of apples. Jill bought 0.764 pounds of apples. Frank bought 2.5 times the total amount that William and Jill bought altogether. How many pound of apples did Frank buy?
Answer:
7.785
Step-by-step explanation:
William and Jill together is 3.114 so just times that by 2.5 and your good
Answer:
7.785 lbs
Step-by-step explanation:
add 2.35 and .764 then multiply by 2.5
←
Find the area of the shaded region shown to the right.
The area of the shaded region is
in.².
4 in.
2 in.
3 in.
11 in.
.5(4*11) - .5(2*3)
22- 3= 19
i didn't get any of the answers you put i got 19
Find the measure of the angle shown by the arrow(in radians)
Answer:
-7π/3 or -420 degrees
Step-by-step explanation:
So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.
The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.
π/2 - π/6
3π/6 - π/6 = 2π/6
π/3
Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3
the diagram below shows the angles formed by some intersecting lines. give that m<8=34, m<9=40, and mm<3=62, find the measure of <4.
Answer:
m<4 = 44°
Step-by-step explanation:
m<8 = 34°
m<9 = 40°
m<3 = 62°
m<2 = 34° + 40° (exterior angle theorem of a triangle)
m<2 = 74°
m<3 + m<4 + m<2 = 180° (sum of ∆)
62° + m<4 + 74° = 180° (substitution)
m<4 + 136° = 180°
m<4 = 180 - 136 (substitution property of equality)
m<4 = 44°
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24
the ratio of two numbers is 7:3 and their sum is 50,find the two numbers
Please show explanation
Answer:
35 and 15
Step-by-step explanation:
7+3=10
50÷10=5 so you multiply each number by five
7×5=35
and
3×5=15
Step-by-step explanation:
let the number be 7x &3x
now,
7x+3x= 50
10x=50
x=50
10
x=5
again,
7x=7×5 = 35
3x= 3×5 =15
therefore the two number are 35 & 15.
hope it helps.
What is the fourth term when the first term is 5 and the common ratio is 6?
If the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.
Given that the first term is 5 and the common ratio is 6.
We are told to find the fourth term of the sequence.
Because there is common ratio of the sequence so the given sequence is a geometric progression.
A geometric progression is basically the sequence in which each term is varied by another by a common ratio.
Nth term of GP=a[tex]r^{n-1}[/tex]
4th term is first term is 5 and the common ratio is 6=5*[tex]6^{4-1}[/tex]
=5*[tex]6^{3}[/tex]
=5*216
=1080
Hence if the first term is 5 and the common ratio is 6 then the fourth term of the sequence be 1080.
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The level of the water in a river rose 2.2 feet on Monday, rose 7.6 feet on Tuesday, fell 2 feet on Wednesday, and fell 7.6 feet on Thursday. What was the total change, in feet, of the water level in the river between Monday and Thursday?
0.2
9.8
7.6
9.6
Answer:
0.2
Step-by-step explanation:
7x - 2
PLEASE HELP I NEED ANSWERS NOW
Answer:
I'm pretty sure it's already simplified.
Step-by-step explanation:
there is no equal sign or x=
what is 3/5 in %
need answer asap
Answer:
Step-by-step explanation:
3/5 x 100%
60%
Answer:60%
Step-by-step explanation: All percents are out of 100 so do 100 divided by the denominator. 100 divided by 5 is 20 so multiple 3 by 20 and you get 60/100= 60%
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (×2 + x-2) and got the
expression below.
(2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2)
Which is the simplified product?
2x³ + 5x² - x - 6 is the simplified product of (2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2).
What is a trinomial?A three-term algebraic expression is referred to as a trinomial. Variables and constants of one or more terms make up an algebraic expression. These expressions separate words or phrases using symbols or operations like +, -,×, and ÷.
This algebraic phrase includes a trinomial as well as a monomial, binomial, and polynomial. Let's learn more about trinomials, how to factor them, and the formula for doing so while also solving some problems.
It is expressed as
x² + xz + 1
A simplified product will be an equation where we will take all the same variables as common variables.
⇒ (2x)(x²) + (2x)(x) + (2x)(-2) + (3)(x²) + (3)(x) + (3)(-2)
⇒ 2x³ + 2x² -4x +3x² + 3x -6
⇒ 2x³ + 5x² - x - 6
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HAVE PICTURE PLEASE HELP!
The answer would be only A
Answer:
only A,good luck on your assignment
Convert 77 centimeters into feet. Hint: 1 in = 2.54 cm; 1 ft = 12 in
Answer:
77 centimeters = 2.52625 feet
Step-by-step explanation:
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160 cm in m in km in nm in hm
HELP PLS
Answer:
1,600,000 is the answer