(02.02 MC)
Line segment RS is shown on a coordinate grid:
The line segment is rotated 270 degrees counterclockwise about the origin to form R'S'. Which statement describes R'S'?
R'S' is parallel to RS.
R'S' is half the length of RS
. R'S' is twice the length of RS.
R'S' is equal in length to RS.
Answers
length doesnt change, it was just rotated.
Related Questions
Cloverville has a population of 25,000 people and is increasing at a rate of 0.2%. The population in 3 years will be
Approximately 25,500 people
Approximately 24,8500 people
Approximately 25,150 people
Answers
A=pe^rt
A ?
P 25000
E constant
R 0.002
T 3years
A=25,000×e^(0.002×3)
A=25,150 ...Answer
Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4? (1 point)
f(x) = –4 cos 4x + 3f(x) = 3 cos(x – pi/2 ) – 4
f(x) = 4 cos(x – pi/2 ) + 3
f(x) = 3 cos 4x – 4
Answers
To transform the function [tex]f(x)=cos(x)[/tex] to have the midline [tex]y=-4[/tex] we need to subtract [tex]f(x)[/tex] by 4, so we have [tex]y=f(x)-4[/tex],
To transform the function [tex]f(x)=cos(x)[/tex] to have period of [tex] \frac{ \pi }{2} [/tex], we need to divide the original period [tex]2 \pi [/tex] by 4, so we have [tex]y=f(4x)[/tex]. Note that it is the [tex]4x[/tex] gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given [tex]y=3f(4x)-4[/tex] which is the last option
Answer:
D) f(x) 3 cos 4x-4 (I just took it)
2x – 4y = 12 3x – 6y = 21 solve
Answers
3x - 6y = 21..= x - 2y = 7
these are parallel lines with no solution
If the lengths of two of the possible sides of a right triangle measure 4 root 15 and 7 root 6 what is the smallest possible length of the third side
Answers
using Pythagorean theorem:
c^2=a^2+b^2
c^2=(4sqrt15)^2+(7sqrt16)^2
c^2=4^2*15+7^2*16
c^2=240+784
c^2=1024
hence;
c=sqrt1024
c=32
Th possible third side is 32
A shoe repairman is working with his assistant, who takes twice as long to repair a pair of shoes. Together they can fix 16 pairs of shoes in an eight-hour day. How long does it take the repairman to fix one pair of shoes by himself?
Answers
[tex]\boxed{\boxed{Answer: \tex{ }$45$ minutes}}[/tex]
Hello!
The number of pairs of shoes each man can repair is its speed times the time.
Call x the repair speed of the assistant. Then, the repair speed of the repairman is 2x, and the joint speed is 2x + x = 3x.
Also, the joint speed is 16 pairs in 8 hours = 16 pairs/ 8 hours = 2 pairs/hour.
Thus, we can equate:
[tex]3x = 2 pairs/hour, \text { or } x = (2/3) pairs / hour.$\\[/tex]
That is the speed of the assistant. Then, the speed of the repairman is:
[tex]2x = 2 (2/3) pairs/hour\\2x = (4/3) pairs/hour.[/tex]
That means that the repairman takes the inverse of 4/3 of an hour to repair one pair of shoes. That is 3/4 of an hour (to repair on pair)
3/4 of an hour is 45 minutes and this is the answer.To find out how long it takes the repairman alone to fix a pair of shoes, we solve a joint work rate problem. By setting equations based on their combined and individual work rates, we find out it takes the repairman 0.75 hours or 45 minutes to fix one pair of shoes by himself.
Explanation:To determine how long it takes the repairman to fix one pair of shoes by himself, we start by establishing the rates at which both the repairman and his assistant work.
Let's denote the time it takes the repairman to repair one pair of shoes by x hours.
Since the assistant takes twice as long, their time would be 2x hours for one pair.
Working together, their combined rate allows them to fix 16 pairs in 8 hours, or 2 pairs per hour.
Now, we express their combined work rate as the sum of their individual work rates.
The repairman's rate is 1/x pairs per hour, and the assistant's rate is 1/(2x) pairs per hour.
Together, this should equal their combined rate of 2 pairs per hour:
1/x + 1/(2x) = 2
Solving this equation for x, we first find a common denominator and get:
2/2x + 1/2x = 2
3/2x = 2
3 = 4x
x = 3/4
Therefore, it takes the repairman 0.75 hours, or 45 minutes, to fix one pair of shoes by himself.
What is the area of a rectangle with a length of 15 feet and a width of 9 feet?
Answers
Final answer:
The area of a rectangle with a length of 15 feet and a width of 9 feet is 135 square feet.
Explanation:
The area of a rectangle can be found by multiplying its length and width.
In this case, the length is 15 feet and the width is 9 feet.
To find the area, multiply 15 feet by 9 feet:
Area = 15 feet x 9 feet = 135 square feet
Therefore, the area of the rectangle is 135 square feet.
Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°. Find the height, h, of the lighthouse. Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse. To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations
Answers
Case A. Kelly is 26 feet from the lighthouse.
The arcTangent of 14/26 is a 28.3 degree angle.
Case B. But if Kelly stood closer to the lighthouse, i.e. 2 feet away, then her angle is arcTangent of 14/2 = 81.9 degrees
What is the common difference of the following arithmetic sequence?
100, 102, 104, 106,…
Answers
The common difference in the arithmetic sequence 100, 102, 104, 106,... is 2.
Arithmetic Sequence: 100, 102, 104, 106,...
Common Difference: The common difference in an arithmetic sequence is the constant value by which each term is increased or decreased. In this sequence, the common difference is 2 because each term increases by 2.
Calculation: 102 - 100 = 2, 104 - 102 = 2, 106 - 104 = 2, so the common difference is 2.
The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m.
The area of the base is __________
The volume is _________
Answers
The square base has a base length of a = 230 m.
The area of the base is
A = a*a = 230*230 = 52,900 m²
The height is h = 150 m.
The volume is
V = (1/3)*A*h
= (1/3)*52900*150
= 2,645,000 m³
Answer:
The area of the base is 52,900 m²
The volume is 2,645,000 m³
Answer:
The area of the base is 52,900 m²
The volume is 2,645,000 m³
Step-by-step explanation:
A family has two cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 20 miles per gallon of gas. during one particular week, the two cars went a combined total of 675 miles, for a total gas consumption of 40 gallons. how many gallons were consumed by each of the two cars that week?
Answers
car 1 = x
car 2 = y
x+y =40 gallons
x=40-y
15x +20y = 675
15(40-y) +20y = 675
600-15y +20y =675
600+5y = 675
5y=75
y=75/5 = 15 gallons
x=40-15 =25 gallons
Car 1 used 25 gallons
Car 2 used 15 gallons
What is the length of the hypotenuse in the triangle below ?
Answers
In 45-45-90 triangles hypotenuse = x√2 [x=leg]
If leg = 14cm, then hypotenuse = 14√2 cm.
Solve for x. A.x=7.5 B.x=16 C.x=17.5 D.x=27.5
Answers
What is a variable?
a.
A variable is an unknown number or value represented by a letter
c.
A variable represents a change in value
b.
A variable always represents the total amount
d.
A variable is always represented by the letter x
Please select the best answer from the choices provided
Answers
hope this helps:))
A variable is an unknown number or value represented by a letter.
A variable is an unknown number or value represented by a lower case letter.
Susie is paying $558.16 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answers
558.16 x 12 = 6697.92 every year
6697.92 x 30 = 200937.60 total
200937.60-150000 = $50,937.60 total interest paid
Decide if the situation involvesâ permutations, combinations, or neither. explain your reasoning.
Answers
Combinations are when the order doesn't matter, like if you had 3 numbers behind your back and you had to guess the 3 not in order
It needs neither when you don't need to find the amount of choices you have (or something similar) for something
triangle pqr is a right triangle. If PQ = 8, what is PR?
Answers
The 30-60-90 triangle is known as a special right triangle because its angles have a unique ratio of 1:2:3. The length of the side PR in ΔPQR is 4√3 units.
What is the 30-60-90 right triangle?The 30-60-90 triangle is known as a special right triangle because its angles have a unique ratio of 1:2:3. Furthermore, the hypotenuse is twice the length of the shorter leg, and the larger leg is √3 times the length of the shorter leg.
For the given right-angled triangle, we can use the 30-60-90 rule. The 30-60-90 triangle is known as a special right triangle because its angles have a unique ratio of 1:2:3. Furthermore, the hypotenuse is twice the length of the shorter leg, and the larger leg is √3 times the length of the shorter leg.
Therefore, we can write,
PQ = 2(RQ)
8 = 2(RQ)
RQ = 4
PR = (RQ)√3
PR = 4√3
Hence, the length of the side PR in ΔPQR is 4√3 units.
The complete question is mentioned in the image below.
Learn more about the 30-60-90 Rule:
https://brainly.in/question/12528636
#SPJ2
What of the above terms indicates imaginary parallel lines that circle the earth?
Answers
Between these two, the imaginary lines parallel to the equator of the Earth are the latitudes. Imagine a Cartesian plane that is revolved about either the x or y axis. You would form a sphere with x and y coordinates. The x-coordinates or the horizontal axis with respect to the equator of the Earth are the latitudes. The vertical axis are the longitudes.
Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10
Answers
split them
-2x < = 3x + 1 3x + 1 < = 10
-2x - 3x < = 1 3x < = 10 - 1
-5x < = 1 3x < = 9
x > = -1/5 x < = 3
solution is : -1/5 < = x < = 3 <==
what are the coordinates of a point on the unit circle if the angle formed by the positive x- axis and the radius is 45°??
Answers
sin(angle( = y-coordinate / radius = y-coordinate / 1 = y-coordinate = y
cos(angle) = x-coordinate / radius = x-coordinate / 1 = x
Then:
y = sin(angle) = sin(45°) = √2 / 2
x = cos (angle) = cos (45°) = √2 / 2
=> Answer: (√2 / 2 , √2 / 2), which is the option A)
The East Bay Deli, makes 6.85 pounds of pasta salad each day. West Bay Deli makes four times that amount each day. How many combined pounds of pasta salad is made per week between the two delis? Find a fourth of their combined weekly production of pasta salad.
Answers
East Bay Deli: 6.85 lb
West Bay Deli: 4*6.85 = 27.4 lb
Total amount made per day is
6.85 + 27.4 = 34.25 lb
Total amount made per week is
34.25*7 = 239.75 lb
Answer: 239.8 lb (nearest tenth)
A fourth of the combined weekly production is
(1/4)*239.75 = 59.9375 lb
Answer: 59.9 lb (nearest tenth)
What is the r value of the following geometric sequence?
64, 48, 36. 27
2/3
3/4
5/8
3/8
Answers
Simplify 1 over quantity x minus 3 plus 4 over x all over 4 over x minus 1 over quantity x minus 3
Answers
(1/(x-3)+4/x)/(x-1)/(x-3), giving us the common denominator of x(x-3). We then take each individual fraction in the complex fraction, making it so that each one has the denominator x(x-3). 1/(x-3) becomes x/x(x-3), 4/x becomes 4(x-3)/x(x-3), and (x-1)/(x-3) becomes x(x-1)/x(x-3).
Now, our fraction is (x/x(x-3)+ 4(x-3)/x(x-3))/x(x-1)/x(x-3), or simply ((x+4(x-3)/x(x-3))/x(x-1)/x(x-3)). If we multiply the numerator and denominator by x(x-3), we get the fraction (x+4(x+3))/(x(x-1)).
Distributing the 4, we get (x+4x+12)/(x(x-1)), or (3x+12)/(x(x-1)). (I don't know if you want the denominator factored or not, but if you want it expanded then it's (3x+12)/(x^2-x).)
I hope this was easy enough to follow! I haven't written anything like this before so I'm sorry if it wasn't very good.
Given expression: [tex]\frac{\frac{1}{x-3}+\frac{4}{x}}{\frac{4}{x}-\frac{1}{x-3}}[/tex].
[tex]\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x-3:\quad x\left(x-3\right)[/tex]
[tex]\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}[/tex]
[tex]\frac{4}{x}-\frac{1}{x-3}=\frac{4\left(x-3\right)}{x\left(x-3\right)}-\frac{x}{x\left(x-3\right)}[/tex]
[tex]=\frac{4\left(x-3\right)-x}{x\left(x-3\right)}[/tex]
[tex]=\frac{3x-12}{x\left(x-3\right)}[/tex]
[tex]\frac{4}{x}-\frac{1}{x-3}=\frac{x}{x\left(x-3\right)}+\frac{4\left(x-3\right)}{x\left(x-3\right)}[/tex]
[tex]=\frac{x+4\left(x-3\right)}{x\left(x-3\right)}[/tex]
[tex]=\frac{5x-12}{x\left(x-3\right)}[/tex]
[tex]\frac{\frac{1}{x-3}+\frac{4}{x}}{\frac{4}{x}-\frac{1}{x-3}}=\frac{\frac{5x-12}{x\left(x-3\right)}}{\frac{3x-12}{x\left(x-3\right)}}[/tex]
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=\frac{\left(5x-12\right)x\left(x-3\right)}{x\left(x-3\right)\left(3x-12\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(5x-12\right)\left(x-3\right)}{\left(x-3\right)\left(3x-12\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]
[tex]=\frac{5x-12}{3x-12} \ \ \ : Final Answer.[/tex]
Given a polynomial f(x), if (x + 7) is a factor, what else must be true?
f(0)=7
f(0)=-7
f(7)=0
f(-7)=0
Answers
Because that makes the (x+7) factor equal zero and any other factor multiplied by zero also results in zero.
Answer:
f(-7)=0 that is option 4th is correct.
Step-by-step explanation:
If we have given any polynomial then its factor means that value is giving zero of that polynomial
And opposite sign of factor is the zero of the polynomial
For example:
x+a is factor of any polynomial f(x) then f(-a)=0
Similarly, If x+7 is a factor of any polynomial then f(-7)=0
Hence, option 4th is correct.
The screen aspect of a widescreen tv is 16.9. What are the width and height of a 32 inch tv? Round answer to the nearest tenth of an inch.
Answers
thus
[tex]\bf 32^2=w^2+\left( \cfrac{9w}{16} \right)^2\implies 32^2=w^2+\cfrac{(9w)^2}{16^2}\implies 32^2=w^2+\cfrac{9^2w^2}{16^2} \\\\\\ 32^2=\cfrac{16^2w^2+81w^2}{16^2}\implies 32^2\cdot 16^2=337w^2 \\\\\\ (32\cdot 16)^2=337w^2\implies \sqrt{(32\cdot 16)^2}=\sqrt{337w^2} \\\\\\ 32\cdot 16=w\sqrt{337}\implies \cfrac{32\cdot 16}{\sqrt{337}}=w\implies \boxed{\cfrac{512}{\sqrt{337}}=w}\\\\ -------------------------------\\\\[/tex]
and we can rationalize that to [tex]\bf \cfrac{512}{\sqrt{337}}\cdot \cfrac{\sqrt{337}}{\sqrt{337}}\implies \boxed{\cfrac{512\sqrt{337}}{337}}[/tex]
thus, its height is [tex]\bf h=\cfrac{9w}{16}\implies h=\cfrac{9}{16}\cdot \cfrac{512\sqrt{337}}{337}\implies \boxed{h=\cfrac{4608\sqrt{337}}{5392}}[/tex]
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answers
Answer:
Option C. is the correct option.
Step-by-step explanation:
Equation of line is represented as y = mx + c
where m = slope of the line
c = y - intercept
Since line is passing through origin (0, 0) and a point (6, 2)
Therefore y intercept of the line will be 0.
c = 0
Slope of the line [tex]m=\frac{y-y'}{x-x'}[/tex]
[tex]m=\frac{2-0}{6-0}[/tex]
[tex]m=\frac{2}{3}[/tex]
So the equation will be
[tex]y=\frac{1}{3}x[/tex]
Therefore, option C. is the answer.
He number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a population standard deviation of 3.0 years. if we survey a random sample of 100 self-employed people to determine the average number of years of education for the sample, what is the standard deviation of the sampling distribution of (the sample mean)
Answers
We can solve this problem by using the formula:
s = σ / sqrt(n)
where,
s = standard deviation of the sample
σ = standard deviation of the population = 3 years
n = number of samples = 100
Substituting:
s = 3 years / sqrt (100)
s = 0.3 years (ANSWER)
Help please.........,
Answers
y-6 = -4(x+1)
y-6 = -4x-4
add 6 to each side
y=-4x+2
A is the correct answer
Help me please!!!!!!
Answers
V1 = volume of the smaller cube (with 1/3 cm sides)
V2 = volume of the box shown
The first volume is
V1 = (1/3)*(1/3)*(1/3)
V1 = 1/27
The second volume is
V2 = (5/3)*(4/3)*(2)
V2 = 40/9
Now divide the two volumes
(V2)/(V1) = (40/9)/(1/27) = (40/9)*(27/1) = 120
Therefore you can fit 120 of the smaller cubes in the larger box shown.
what type of number can be written as a fraction where p and q are intergers and q is not equal to zero
Answers
Irrational numbers are the opposite.
Hope this helps!
How many sides does a polygon have with an interior angle of 108?
Answers
360/72 = 5