Hey there! I'm happy to help!
A line of symmetry is a line that cuts a figure in half so that it is the same on both sides. We cannot do a vertical line because one side is different than another. We could do a horizontal line where y=3 the whole time. This would cut the shape in half so it is the same on both sides.
Therefore, the equation for the line of symmetry in this figure is y=3.
Have a wonderful day! :D
The horizontal line y = 3 is the required equation of line that makes the symmetric figure.
What is a line of symmetry?A line of symmetry is a line that splits a figure in two and makes the two halves identical.
In the given figure,
One side is different from the other, we are unable to draw a vertical line.
A horizontal line with y = 3 throughout could be drawn. This would split the form in half, making both sides identical.
Therefore, line y = 3 is the equation of line that will make figure symmetric.
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If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0
Step-by-step explanation:
hope this helps
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Help please Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths. y = negative 10.375 x + 126.125 y = negative 0.096 x + 13.056 y = 0.096 x + 10.944 y = 10.375 x 63.875
Answer:
y = -10.375x + 126.125
Step-by-step explanation:
(12-95)/(11-3) = -83/8 = -10.375
y = mx + b
12 = -10.375(11) + b
12 = -114.125 + b
b = 126.125
y = -10.375x + 126.125
The solution is, y = -10.375x + 126.125, is the equation of a trend line that passes through the points (3, 95) and (11, 12).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
given that,
a trend line that passes through the points (3, 95) and (11, 12).
so, the slope is,
(12-95)/(11-3) = -83/8 = -10.375
now, we have,
y = mx + b
12 = -10.375(11) + b
12 = -114.125 + b
b = 126.125
so, we get,
y = -10.375x + 126.125
Hence, The solution is, y = -10.375x + 126.125, is the equation of a trend line that passes through the points (3, 95) and (11, 12).
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At dinner, 100 students pass through the cafeteria line and were served meals. 40 fish entrees and 60 pasta entrees were served to the students. A total of 20 students chose neither entree. Assuming all students were served zero, one, or two entrees, how many students were served two entrees
Answer: 20
Step-by-step explanation:
Given: Total students at the dinner = 100
Number of fish entrees = 40
Number of pasta entrees = 60
Number of students chose neither entree = 20
Now , Number of students chose either fish or pasta = (Total students) - (Number of students chose neither entree)
= 100-20
= 80
Now , Number of students chose either fish or pasta = (Number of fish entrees) + (Number of pasta entrees)- (Number of students chose both)
⇒ Number of students chose both = (Number of fish entrees) +(Number of pasta entrees)-(Number of students chose either fish or pasta)
= 40+60-80
= 20
Hence, the number of students were served two entrees = 20
20 students were served two entrees.
Given,
total student pass through cafeteria line and were served meal is 100.
No. of students choose fish entries is 40.
No. of students choose pasta entrees is 60.
No. of student choose neither entree is 20.
We have to calculate the no. of students served two entrees.
Now Number of students chose either fish or pasta will be,
[tex]N=100-20[/tex]
[tex]N=80[/tex]
Now no. of students choose both will be,
[tex]N=(fish\ entree+\ pasta \ entree )-Entree\ either \ pasta \ or \ fish[/tex]
[tex]N=60+40-80[/tex]
[tex]N=20[/tex]
Hence 20 students were served two entrees.
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Below are a list of costs and discounts for groceries. Round to the nearest dollar to estimate the total cost
+ $12.34
+ $5.07
- $0.73
+ $2.84
- $1.50
Answer:
$18
Step-by-step explanation:
$18.02 rounds to $18
Answer:
$17
Step-by-step explanation:
Rounded, the listed numbers are ...
12 + 5 -1 +3 -2 = 17
The estimate of total cost is $17.
SELF-CHECK 1: Evaluate the expression given. Write the numerical answer
as a fraction below. *
1 point
2 3
+
5.7
Your answer
Step-by-step explanation:
so 2.3 + 5.7 is 8.0 is the answer
how many are 6 raised to 4 ???
Answer:
[tex]\large \boxed{1296}[/tex]
Step-by-step explanation:
6 raised to 4 indicates that the base 6 has an exponent or power of 4.
[tex]6^4[/tex]
6 is multiplied by itself 4 times.
[tex]6 \times 6 \times 6 \times 6[/tex]
[tex]=1296[/tex]
what is the area of a circle if the diameter is 16 millimeters?
━━━━━━━☆☆━━━━━━━
▹ Answer
A ≈ 201.06 mm²
▹ Step-by-Step Explanation
A = πr²
Radius = 1/2d
Radius = 1/2(16)
Radius = 8
Substitute:
A = π8²
A ≈ 201.06 mm²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
The answer is 201 mm²Step-by-step explanation:
Area of a circle is given by πr²
where r is the radius
To find the radius we use the formula
radius = diameter / 2
From the question
diameter = 16mm
radius = 16 / 2 = 8mm
So the area of the circle is
π(8)²
= 64π
= 201.061
= 201 mm² to the nearest whole number
Hope this helps you
If a population grows 3.5% per year, how much does it grow per decade? A. 35% B. 41.1% C. 38% D. 27.6%
Answer: 35%
Step-by-step explanation: It grows 3.5% every year. A decade is 10 years. 10 x 3.5% = 35% because you move the decimal one point to the right.
The population grows 41.1% per decade. Therefore, option B is the correct answer.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.
Given that, a population grows 3.5% per year.
Now, D(n)=P(1+R/100)ⁿ
Let P=1
So, D(1)=1(1+0.035)¹
D(1)=1.035
Similarly per 10 years with the same rate
D(10)=1(1+0.035)¹⁰
= (1.035)¹⁰
= 1.41059
= 1.411-1 (Initial population is 1)
= 0.411
= 0.411×100
= 41.1%
The population grows 41.1% per decade. Therefore, option B is the correct answer.
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what is the solution to the equation below log5(2x-3)=2
Answer:
14
Step-by-step explanation:
I just got it correct on a.p.e.x :)
The solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
How to determine the solution?The equation is given as:
[tex]\log_5(2x - 3) = 2[/tex]
Convert the equation to an exponential equation
2x - 3 = 5^2
Evaluate the exponent
2x - 3 = 25
Add 3 to both sides
2x = 28
Divide both sides by 2
x = 14
Hence, the solution to the equation [tex]\log_5(2x - 3) = 2[/tex] is x = 14
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one-third of a number is subtracted from 11.The result is one and half times the original number. what is the number.
If 11 is subtracted from 3 times the number, the result is the square of 5 less than the number. What are the set of numbers that satisfy
What is the value of x in the equation 3x-4y=65, when y =4 will give brainliest
Hello!
Answer:
[tex]\huge\boxed{x = 27}[/tex]
Given:
3x - 4y = 65 where y = 4;
Substitute in 4 for "y":
3x - 4(4) = 65
Simplify:
3x - 16 = 65
Add 16 to both sides:
3x - 16 + 16 = 65 + 16
3x = 81
Divide both sides by 3:
3x/3 = 81/3
x = 27.
Hope this helped you! :)
Answer:
x=27
Step-by-step explanation:
3x-4y=65
Let y=4
3x - 4(4) = 54
3x -16 = 65
Add 16 to each side
3x -16+16 = 65+16
3x = 81
Divide each side by 3
3x/3 =81/3
x =27
Hi how do I solve this simultaneous equation
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
15 lwholes 5 over 8 % of a number is 555 find the number
Answer:
The number is 3,552
15⅝% of 3,552 is 555
Step-by-step explanation:
15⅝% of a number is 555.
To determine what number it is, let the number be x.
Thus,
15⅝%*x = 555
[tex] \frac{125}{8}*\frac{1}{100}*x = 555 [/tex]
[tex] \frac{125}{800}*x = 555 [/tex]
[tex] \frac{125*x}{800} = 555 [/tex]
Multiply both sides by 800
[tex] \frac{125*x}{800}*800 = 555*800 [/tex]
[tex] 125*x = 444,000 [/tex]
Divide both sides by 125
[tex] \frac{125*x}{125} = \frac{444,000}{125} [/tex]
[tex] x = 3,552 [/tex]
The number = 3,552
15⅝% of 3,552 is 555
Arjun has two denominations of coins. Two of the smaller denomination coins and three of the larger denomination coins have a value of $2. Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4. What denominations of coins does Arjun have?
Answer:
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
Step-by-step explanation:
Given the following :
Let the two coins be s and l
Where s = smaller denomination and l = larger denomination coins
Two of the smaller denomination coins and three of the larger denomination coins have a value of $2
2s + 3l = 2 - - - - (1)
Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4
2s + 7l = 4 - - - (2)
2s + 3l = 2 - - - (1)
2s + 7l = 4 - - - (2)
Subtracting both equations
3l - 7l = 2 - 4
-4l = - 2
l = 2/4
l = 0.5
Put l = 0.5 into (1)
2s + 3l = 2
2s + 3(0.5) = 2
2s + 1.5 = 2
2s = 2 - 1.5
2s = 0.5
s = 0.5 / 2
s = 0.25
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
Two pipes A and B can fill an empty tank in 3hrs and 5hrs respectively. Pipe C can empty the full tank in 6 hours. If the three pipes A, B, and Care opened at the same time, find how long it will take for the tank to be full. *
Answer:
30/11 (hours)
Step-by-step explanation:
Pipe A can fill the tank until it is full in 3 hours.
=> In 1 hour, pipe A can fill 1/3 of tank
Pipe B can fill the tank until it is full in 5 hours.
=> In 1 hour, pipe A can fill 1/5 of tank
Pipe C can empty the full tank in 6 hours.
=> In 1 hour, pipe A can empty 1/6 of tank
Assume that we open 3 pipes A, B, and C at the same time.
Then, in 1 hour, the amount of water in tank is:
A = 1/3 + 1/5 - 1/6 = 10/30 + 6/30 - 5/30 = 11/30 (tank)
=> The time to fill up the tank is:
T = 1/A = 1/(11/30) = 30/11 (hours)
Answer:
30/11
Step-by-step explanation:
Imagine the tank can hold x litre of water
So,A can fill x/3 litre water per hour
And B can fill x/5 litre water per hour
And C can reduce x/6 litre of water per hour which is filled by A and B.
So the gross calculation per hour is:
(x/3+x/5)-x/6
=11x/30
Now suppose it tooks 'a' hour to fill the tank.
So, a(11x/30)=x
⇨ a= (30/11x)x
⇨a=30/11
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and will mark brainlist
Answer:
[tex]\boxed{57ft 10in}[/tex]
Step-by-step explanation:
Hey there!
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
Hope this helps :)
A. Y=2/9x
B. Y=1/4x
C. Y=1/5x
D Y=2/11x
Answer:
the slope of the line represented by the table is y = 2/11x
Step-by-step explanation:
y = mx + b
slope: (y² - y¹) / (x² - x¹)
(4 - 2) / (22 - 11) = 2/11
plug in an x and y value to find b
y = 2/11x + b
2 = (2/11)(11) + b
2 = 2 + b
b = 0
the y-intercept is 0
your equation is y = 2/11x
If cot^(4)x − cot^(2)x = 1, then the value of cos^(4)x + cos^(2)x is
Answer:
1
Step-by-step explanation:
[tex]cot^4x-cot^2x=1\\cot^4x=1+cot^2x\\cot^4x=cosec^2x\\ cos^4xsin^2x=sin^4x\\cos^4x=\frac{sin^4x}{sin^2x}\\cos^4x=sin^2x[/tex]------- (1)
Putting the value of [tex]cos^4x[/tex] in the equation:
[tex]cos^4x+cos^2x\\sin ^2x +cos^2x\\1[/tex] (Using the identity [tex]cos^2x +sin^2x=1)[/tex]
Write each fraction as a decimal and a percent. A) 7/8 B) 9/75 C/ 120/75
Answer:
A) 0.875, 87.5%
B) 0.12, 12%
C) 1.6, 160%
Step-by-step explanation:
Answer:
A) 0.875, 87.5%
B) 0.001, 0.1%
C) 1.6, 160%
Step-by-step explanation:
I honestly just used a calculator, but it could also be solved using the butterfly technique. For percentages just move the decimal to the left two places.
Simplify: (-2)(-3)+(4)(-8)
Simplify: (3)(-6)-18
Answer:
4
Step-by-step explanation:
Answer:
-26, and -36
Step-by-step explanation:
(-2) (-3) + (4) (-8)
6 + -32 = -26
(3) (-6) - 18
-18 + -18 = -36
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or
Answer:
[tex]Speed = 159.4\ km/hr[/tex]
[tex]Speed = 2.6\ km/m[/tex]
Step-by-step explanation:
The question has missing details; However, the given parameters are
[tex]Speed = 99\ miles/hour[/tex]
Required
Determine the speed in
- kilometre per hour
- kilometre per minute
From the question; we have that
[tex]1\ mile = 1.61\ kilometers[/tex]
[tex]1\ hour = 60\ minutes[/tex]
[tex]Speed = 99\ miles/hour[/tex] can be rewritten as
[tex]Speed = \frac{99\ miles}{hour}[/tex]
It can be further expressed as
[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]
Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'
So;
[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
[tex]Speed = 159.39\ kilometres/hour[/tex]
[tex]Speed = 159.4\ km/hr[/tex] -- Approximated
Solving further to get kilometre per minute equivalent
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
This can be rewritten as
[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]
Recall that [tex]1\ hour = 60\ minutes[/tex]; So,
[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]
[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]
[tex]Speed = 2.5565\ kilometres/minute[/tex]
[tex]Speed = 2.6\ km/m[/tex] --- Approximated
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they sleep per night and the amount of their annual income. Letting X represent the number of hours the participant sleeps per night and Y represent the participant's annual income, the surveyor calculated the correlation coefficient between X and Y to be 0.29. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the correlation between X and Y. A. weak negative correlation B. strong negative correlation C. strong positive correlation D. weak positive correlation
Answer:
A. R=0.86; strong correlation
Step-by-step explanation:
The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.
What is correlation?"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".
For the given situation,
Correlation coefficient = 0.29
Positive correlation: the two variables change in the same direction.
Negative correlation: the two variables change in opposite directions.
No correlation: there is no association or relevant relationship between the two variables.
The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.
Hence we can conclude that option (D) weak positive correlation is the correct answer.
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(08.02)How many solutions are there for the system of equations shown on the graph? No solution One solution Two solutions Infinitely many solutions
Answer: Infinitely many solutions
Step-by-step explanation:
There are many solutions because the lines lies on top of each other.
i dont know the exact answer but its not
One solution
Two solutions
so its most likely
Infinitely many solutions
Gavin combines Thirty-two and two-fifths ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the most reasonable estimate for the amount of liquid in the pitcher? 39 ounces 42 ounces 45 ounces 47 ounces
Answer:
OPTION A is correct
39 ounces
Step-by-step explanation:
Given:
The amount of water in the pitcher= 32 ounces
The amount of lemon juice in the pitcher = 7.15 ounces
We were to calculate the most reasonable estimate for the amount of liquid in the pitcher
To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is
32 ounces + 7.15 ounces
=39.15 ounces
Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces
What is the answer?
Find the 6th term in this geometric sequence?
Answer:
91.125
Step-by-step explanation:
Each term is multiplied by 1.5 to get the next term.
12,18,27,40.5, 60.75, 91.125
Hope that helped!!! k
Answer:
91.125
Step-by-step explanation:
We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.
Here, divide 18 by 12 to get:
18/12 = 3/2 = 1.5
Divide 27 by 18 to check if it's also 1.5:
27/18 = 3/2 = 1.5
Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:
27 * 1.5 = 40.5
Multiply 40.5 by 1.5 to get the 5th term:
40.5 * 1.5 = 60.75
Finally, multiply 60.75 by 1.5 to get the 6th term:
60.75 * 1.5 = 91.125
Our answer is thus 91.125.
~ an aesthetics lover
Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution
Answer:
A triangle with angles:
"45°, 45°, 90°"
Is a triangle rectangle, with two catheti of equal length.
Now, there is a lot of problems that you can solve with this:
"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"
Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)
And because the catheti are equal, then the angles are 45°, 45° and 90°.
if a white birch tree and a pin oak tree each now have a diameter of 111 foot, which of the following will be closest to the difference, in inches, of their diameters 101010 years from now? (1(1(, 1 foot = 12=12equals, 12 inches))
Answer:
Can you solve #18 from practice test 5 calculator section? ... years old and a pin oak tree with a diameter of 12 inches is ... because on the test you would have figured these mechanics out on ... Now, note that the concept of a “growth factor” as provided in the table ... That's a difference of about 1.3 inches.
Step-by-step explanation:
What roles did militias play in the American Revolution? Your answer:
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
calling all brainly users
Answer:
The triangles are not similar
Step-by-step explanation:
We can see that TU and EU are equal in length but SU and DU are not hence they are not similar