Answer: B
Step-by-step explanation:
LJ should corresponds with RQ but it should correspond with PR.
Answer:
B
Segment LJ and Segment RQ
Step-by-step explanation:
look at the congruence statement
JKL≅PQR
as you can see, they do not correspond with one another
and all the other statements are pairs or congruent/corresponding parts
Eurostar is a high-speed railway service connecting
London with Paris and Brussels.
In February, 350,000 passengers travelled by Eurostar.
Each train has 15 carriages and each carriage has 32 seats.
How many trains would be needed
to seat 350,000 passengers?
If all the empty seats are on
the last train, find:
the number of empty carriages
you could make;
the number of empty seats across
all the other carriages.
Answer:
730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
Step-by-step explanation:
Number of carriages in 1 train = 15
Number of seats in 1 carriage = 32
Number of seats in 15 carriages =[tex]32 \times 15 =480[/tex]
So, Number of seats in 1 train = 480
Number of trains needed to seat 350,000 passengers=[tex]\frac{350000}{480}=730[/tex]
Number of carriage in 1 train = 15
Number of carriage in 730 trains = [tex]15 \times 730=10950[/tex]
Number of seats in 1 carriage = 32
Number of seats in 10950 carriage =[tex]32 \times 10950=350400[/tex]
Hence 730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer
Answer:
Probability of blue or red = 3/10
Step-by-step explanation:
4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .
Total = 30
Probability of having a blue = 6/30
Probability of having a blue= 1/5
Probability of a red = 3/30
Probability of a red= 1/10
Probability of a blue or a red=
Probability of blue + probability of red
= 6/30 + 3/30
= 9/30
= 3/10
A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81. What is the side length of the square in centimeters?
Answer:
9 cm
Step-by-step explanation:
c^2=81
Take the square root of both sides.
The square root of c^2 is c.
The square root of 81 is 9.
c=9
Answer:
C = 9 centimeters
Step-by-step explanation:
First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 * 9 = 81. Thus the answer is 9 centimeters.
PLZ HELP PLZ
I WOULD APPRECIATE IT PLZ
19 and 20
let given points be
(x1,y1)=(-3,-3)
and(x2,y2)=(3,1)
equation of given line ,
(y-y1)= ((y2-y1)/(x2-x1))×(x-x1)
therefore, 2x-3y+3=0.........(i)
comparing (i ) with ax+by+c=0 we get
a=2
b= -3
c=3
then the line parallel to (i) is
ax+by+k=0 where k = -bc
that is, 2x-3y+9=0 is the required equation
Answer:
19. y = 2/3x - 10/3
20. y = -3/2x - 4
Step-by-step explanation:
First off, we need to find the equation of the line shown. There are two coordinates given. The slope of the line is (1 - -3) / (3 - -3) = 4 / 6 = 2/3. The line obviously intersects the y-axis at -1, so the equation of the line is y = 2/3x - 1.
19. If a line were to be parallel to the given line, the line would have to have a slope of 2/3. So, we have y = 2/3x + b.
To solve for b, all you need to do is substitute the coordinates given, (2, -2), and solve.
-2 = (2/3) * 2 + b
b + 4/3 = -2
b = -6/3 - 4/3
b = -10/3.
So, the equation of the line is y = 2/3x - 10/3.
20. If a line were to be perpendicular to the given line, the line would have a slope that is the negative reciprocal of the given line's slope. The slope would be -3/2. So, we have y = -3/2x + b.
To solve for b, once again, put in the given coordinates, (-4, 2), and solve.
2 = (-3/2) * (-4) + b
b + 6 = 2
b = -4
So, the equation of the line is y = -3/2x - 4.
Hope this helps!
Find the least common multiple of x2 + 4x + 3 and x2 + 7x + 12.
Answer:
( x+1) (x+3) (x+4)
HELP ME PLEASE PLEASE
Answer:
x=0 , y=4
Step-by-step explanation:
3x - 3y = -12 - eq1
4x + 3y = 12 - eq 2
Add eq 1 and 2
3x - 3y + 4x +3y = -12 + 12
7x = 0
x = 0
By substituting the value of x in eq 2
4x + 3y = 12
4(0) + 3y = 12
3y = 12
y = 12 / 3
y = 4
Answer:
(x,y)=(24,-28)
Step-by-step explanation:
1. Multiply both sides by -1
3x+3y=-12
-4x-3y-=-12
2. Elimnate one variable by adding the equations
-x=-24
3. Change the signs
x=24
4. Susbstitue the value of x in the equation 3x+3y=-12
3 x 24 + 3 y = -12
y=-28
5. Check the solution by plugging in the values.
(x,y)=(24,-28)
Can someone help me out with these math questions?
You can pick one to answer or chose to answer both!
I’d appreciate the help thank you!
in a box of chocolates, 1/5 of the chocolates contains nuts. the rest do not.
write down the ratio of the number of chocolates that contains nuts to the number of chocolates that do not contain nuts .
give you answer in the form 1: n
Answer:
the ratio would be 1:4
Step-by-step explanation:
ratio of those who has nuts:
1/5
ratio of those who dont:
1-1/5=4/5
one against another:
1/5 : 4/5 = 1:4 = with : without
which best describes how the graph of g(x) = radical 25/9x
relates to the graph of the parent function, f(x)= radical x?
Answer:
Step-by-step explanation:
g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Answer: g(x) = radical 25/9x would be clearer if written as g(x) = radical (25/9)x. Note that radical (25/9) = (5/3).
The graph of g(x) = radical (25/9)x would have the same shape as that of g(x) = radical x EXCEPT that it would be stretched vertically by a factor of (5/3).
Step-by-step explanation:
Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 100 degrees and the low temperature of 70 degrees occurs at 5 AM. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. Assume the next low is 24 hours later.
Answer:
The function for the outside temperature is represented by [tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex], where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
[tex]A = \frac{100\º-70\º}{2}[/tex]
[tex]A = 15\º[/tex]
Mean temperature
[tex]\bar T = \frac{70\º+100\º}{2}[/tex]
[tex]\bar T = 85\º[/tex]
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
[tex]T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right][/tex]
Where:
[tex]\bar T[/tex] - Mean temperature, measured in degrees.
[tex]A[/tex] - Amplitude, measured in degrees.
[tex]\tau[/tex] - Daily period, measured in hours.
[tex]t[/tex] - Time, measured in hours. (where t = 0 corresponds with 5 AM).
If [tex]\bar T = 85\º[/tex], [tex]A = 15\º[/tex] and [tex]\tau = 24\,h[/tex], the resulting function for the outside temperature is:
[tex]T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right][/tex]
What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction StartFraction negative (a minus 3) squared Over 147 EndFraction StartFraction (a minus 3) squared Over 147 EndFraction 3 –3
Answer:
Correct answer is
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Step-by-step explanation:
Let us rephrase the given statement mathematically.
We are given the fractions as:
[tex]\dfrac{a-3}{7}[/tex]
to be divided by:
[tex]\dfrac{3-a}{21}[/tex]
To find:
[tex]\dfrac{a-3}{7}\div\dfrac{3-a}{21}[/tex]
Now, let us have a look at the division rule in fractions:
[tex]\dfrac{a}{b} \div \dfrac{c}{d}[/tex]
is equivalent to
[tex]\dfrac{a}{b} \times \dfrac{d}{c}[/tex]
In other words, we say that the second fraction [tex]\frac{c}{d}[/tex] is changed to [tex]\frac{d}{c}[/tex] and [tex]\div[/tex] is changed to [tex]\times.[/tex]
Now solving the given fraction by applying above rules:
[tex]\dfrac{a-3}{3}\div\dfrac{3-a}{21}[/tex]
[tex]\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{3-a}\\\Rightarrow \dfrac{a-3}{7}\times \dfrac{21}{-(a-3)}\\\Rightarrow \dfrac{1}{1}\times \dfrac{3}{-1}\\\Rightarrow -3[/tex]
So, correct answer is:
[tex]\text{Quotient of }\dfrac{a-3}{7}\div\dfrac{3-a}{21} = -3[/tex]
Answer:
d on edg
Step-by-step explanation:
taking test rn
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2)
Answer:
[tex]a. \: {x}^{2} + 2[/tex] [tex]b. \: 2 {x}^{2} - 5x[/tex] [tex]c. \: 6 {x}^{2} + 8x[/tex] [tex]d. \: 6 {x}^{2} - 12x[/tex]solution,
[tex]a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x[/tex]
[tex]b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x[/tex]
[tex]c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x[/tex]
[tex]d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x[/tex]
Hope this helps...
Good luck on your assignment..
The diagram shows a square. Find the length of the side of the square.
Answer:
20 centimeters
Step-by-step explanation:
A square has all sides equal.
6x - 1 = 4x + 6
6x - 4x = 6 + 1
2x = 7
x = 7/2
Plug in x as 7/2 in one of the side lengths.
6(7/2) - 1
42/2 - 1
21 - 1 = 20
Answer:
20Step-by-step explanation:
Sides of a square are always equal.
6x - 1 = 4x + 6
Move the variable to L.H.S and change its sign
6x - 4x - 1 = 6
Move the constant to RHS and change its sign.
6x - 4x = 6 + 1
Simplify
2x = 7
Divide both sides by 2
2x/2 = 7/2
X = 7/2
Again,
6x - 1
plugging the value of X
= 6 * 7/2 - 1
= 3 * 7 - 1
= 21 - 1
= 20
Hope this helps...
Use the graph to complete the statement. O is the origin. Ry−axis ο Ry=x: (2,3) A. (-2, -3) B. (3, -2) C. (2, -3) D. (-3, 2)
Answer:
D
Step-by-step explanation:
Given
[tex]R_{y-axis}[/tex] ○ [tex]R_{y=x}[/tex] : (2, 3 )
Then the order of reflections is from right to left, that is
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
(2, 3 ) → (3, 2 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
(3, 2 ) → (- 3, 2 ) → D
Plzzz help if u do both I’ll give Brainlynest
Answer:
Step-by-step explanation:
Q1; 10 units
The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.
The area of a square is s^2, where s is the side length.
The side length of the square is 2. 2^2 =4
The area of the square is 4 units.
The area of a triangle is bh/2, where b is the base and h is the height.
The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2
The area of the left triangle is 2 units.
The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4
The area of the right triangle is 4 units.
The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10
The area of the figure is 10 units.
Q2: The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The area of a circle is π[tex]r^2[/tex]. The radius of this circle is 4cm.
Therefore, the area of the circle is 16π[tex]cm^2[/tex].
The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.
Therefore, the area of the rectangle is 6 cm^2
We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.
16π simplifies to 50.2654825 cm^2.
50.2654825-6 = 44.2654825 cm^2
The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
solve this question with calculation please:
Answer:
x=80
Step-by-step explanation:
the figure depicts a pentagon.
we can use linear pair method to find x
we should find interior angles
angle E= 180-90= 90
angle D=180-60= 120
angle C=180-x
angle A= 90 given
angle B= 180-40= 140
angle sum of a pentagon = 540
by formula (n-2)180. n is the number of sides
equation= 90+120+180-x+90+140= 540
620-x= 540
620-540=x
80=x
if anybody can answer atleast 1 of the 2 questions that would be great! Thank you:) *Grade 9 work*
Answer:
perimeter=[tex]2(l+b)[/tex]
2(3b+5+2b-1)=
2(5b+4)=0
5b+4=o
b=-4/5
but be can't be -ve
therefore,b=4/5 or 0.8
Answer:
6) The perimeter of the triangle is 3(3x - 1)
7) The perimeter of the rectangle is 2(5b + 4)
Step-by-step explanation:
The perimeter of a triangle and a rectangle is found by adding up all the sides.
6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)
7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)
The question is in the picture attached
Answer:
≈ 10.7 ft
Step-by-step explanation:
We have 2 secants to a circle from an external point.
The product of the measure of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
let the internal part of the right secant be x , then
6(6 + x) = 4(4 + 12) = 4 × 16 = 64 ( divide both sides by 6 )
6 + x ≈ 10.7 ( subtract 6 from both sides )
x ≈ 4.7
length of pass = 6 + 4.7 = 10.7
Solve using derivatives.
I have no clue where to start on this I really need help please.
Please show steps and diagram.
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Graphically represent the increase in emission of greenhouse gasses in India over a period of 5 years.
Answer:
Check it below
Step-by-step explanation:
According to GHG platform India, in the period between [2011-2015] there was a growth of emissions in tons of Carbon Dioxide. As it follows below.
The Energy sector is the segment that contributes the most with this, followed by the Agricultural and the Industries and the Waste.
Complete the solution of the equation. Find th
value of y when x equals -4.
- 8x + y = 37
Enter the correct answer.
Answer:
64
Step-by-step explanation:
Pls, help. Trigonometry. Please answer in short sentences I'm not picking. Please answer a-i.
Answer:
a . See attachment
b. because we will find the distance from the bottom of the ladder to the base of the building.
c. sin 60 = opposite side / hypotenuse
d.sin 60 = x / 10
e . 8.66 ft =x
f. see attachment
i. cos 60° = adjacent side / hypotenuse
Step-by-step explanation:
a . See attachment
b. because cos 60° = adjacent side / hypotenuse, the hypotenuse is equal to the length of the ladder (10), and the adjacent side that we will find is the distance from the bottom of the ladder to the base of the building. not the height that the ladder reaches .
c. sin 60 = opposite side / hypotenuse
Because we will find the opposite side which is the height that the ladder reaches.
d.sin 60 = x / 10
e .
0.866025403 = x/10
10 (0.866025403) =x
8.66 ft =x
f. see attachment
i. cos 60° = adjacent side / hypotenuse
Because we will find the adjacent side which is the distance from the bottom of the ladder to the base of the building.
HELP ME PLZ!!!!!!!! Brainliest will be given, THANK YOU!!!!
Answer:
Step-by-step explanation:
5*2=10, 10*2=20...
it is a geometric progression with ratio= 2
a11=a10*2=2560* 2=5120
a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of the bonus is shared equally between 7 sales people.Peter, one of the sales people says," if the bonus is shared equally between 10 people i will get 25% more money. Janet a manager, says," no you wont get that much extra. show that Janet is correct by working out how much peter thinks he would get and how much he would actually get.
Step-by-step explanation:
if each the bonus is shared equally each will get 420
if 40% is shared by managers each manager will get 560
if 7 sales persons share 60% each will get 360
therefore Peter salesperson will get 360
but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct
Evaluate 3|−5| − 2|−2|. Question 22 options: −11 −19 11 19
Answer:
11
Step-by-step explanation:
3|−5| − 2|−2|
Absolute value means take the non-negative value
3 * 5 -2 * 2
15 - 4
11
2. The price of a gallon of milk has been rising about 1.36% per year since 2000. a. What type of function would be best to model this scenario? Choose one of the types of functions studied in this course. Explain why you chose this answer. b. Write a formula for the function you chose to model this scenario. What does the independent variable in your function represent? c. If milk costs $4.70 now, what will it cost next year? Show how you found the answer. d. If milk costs $4.70 now, how long will it take for the price to top $5? Show how you found the answer.
Answer:
(a)Exponential
(b)[tex]P(t)=4.70(1.0136)^t[/tex]
(c)The price of milk next year will be: $4.76
(d)5 years
Step-by-step explanation:
The price of a gallon of milk has been rising about 1.36% per year since 2000.
(a)Since the price grows by a percentage (or constant factor) each year, an exponential function would be best to model the scenario.
(b)The exponential growth model is given as:
[tex]P(t)=P_0(1+r)^t$ where:\\P_0$=Initial Price\\r=Growth factor\\t=time (in years, for this case)[/tex]
The independent variable in the function is t. This represents the number of years since 2000.
(c)
[tex]I$nitial Price, P_0=\$4.70\\r=1.36\%=0.0136\\P(t)=4.70(1+0.0136)^t\\\\P(t)=4.70(1.0136)^t[/tex]
Therefore, the price of milk next year will be:
[tex]P(1)=4.70(1.0136)^1=\$4.76[/tex]
(d)We want to determine how long it will take for the price to top $5.
P(t)=$5
[tex]5=4.70(1.0136)^t\\$Divide both sides by 4.7$\\(1.0136)^t=\frac{5}{4.7} \\$Change to logarithm form\\t=Log_{1.0136}\frac{5}{4.7}\\t=4.58[/tex]
Therefore, in exactly 4.58 years, the milk price would be $5. Therefore, by the 5th year, the milk price would top $5.
Find the roots of the quadratic equation 2x^2-x-4 =0
Answer:
I hope it will help you...
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the value of x in the image below.
Answer:
16
Step-by-step explanation:
64 = 4x
64/4 = 4x/4
16 = x
Evaluate: [tex]3-2^2+4*3+5[/tex]
Answer:
16
Step-by-step explanation:
Apply PEMDAS:
Solve the exponent, multiply from left to right, and then subtract and add from left to right.
[tex]3-2^2+4*3+5\\\\3-4+4*3+5\\\\3-4+12+5\\\\-1+12+5\\\\11+5\\\\\boxed{16}[/tex]
Answer: 16
Step-by-step explanation:
The important thing to remember here is the Order of Operations
The Order of Operations states that first solve Parentheses, then Exponents, then Multiplication and Division, then Addition and Subtraction.
There are no parentheses.
Exponents: 3 - 4+4*3+5
Multiplication and Division: 3 - 4 + 12 + 5
Addition and Subtraction:
-1+12+5
11+5
16
Hope it helps <3
IMAGES BELOW! Which graph shows the system of equations 4 x + y = 3 and 2 x minus 3 y = 3?
Answer:
1st Graph
Step-by-step explanation:
Simply use a graphing calculator and plug in the systems of equations into the graph. We then choose the closest-resemblanced graph.
Answer:
Its the first graph
Step-by-step explanation:
got it right on the test