To find the area of KLMN, we need to determine the length and width of the quadrilateral. We can do this by setting up and solving equations using the given information. By substituting the values and solving the equations, we find that the area of KLMN is 90 square units.
Explanation:To find the area of KLMN, we need to determine the length and width of the quadrilateral. Since LM is parallel to KN, we know that LM = KN. Similarly, KL is parallel to NM, so KL = NM. Let's call the length of KLMN as L and the width as W. The perimeter of KLMN is 42, so we have L + KL + KN + NM = 42. Since KL = NM, we can rewrite the equation as L + 2KL + 2NM = 42.
We are also given the heights h1 and h2, which represents the vertical distance between the parallel sides. In this case, h1 = 5 and h2 = 6. The formula for the area of a quadrilateral is A = L * h1. Therefore, A = L * 5. We need to find the value of L to calculate the area.
Using the information given, we can set up the following equations:
L + 2KL + 2NM = 42
KL = NM
L * 5 = A
To solve these equations, we'll use substitution. Since KL = NM, we can substitute KL as NM in the first equation. This gives us:
L + 2NM + 2NM = 42
Simplifying the equation, we get:
L + 4NM = 42
Since h2 = 6 and h2 = NM, we can substitute NM as 6 in the equation:
L + 4(6) = 42
Simplifying further, we get:
L + 24 = 42
Subtracting 24 from both sides:
L = 18
Now that we know the value of L, we can calculate the area using the formula: A = L * h1. Substituting the values we have:
A = 18 * 5 = 90
Therefore, the area of KLMN is 90 square units.
Learn more about Area of a Quadrilateral here:https://brainly.com/question/39164410
#SPJ12
what is a even number + even number = 90
Answer:
52+38
Step-by-step explanation:
An even number plus another even number results in an even sum. Examples such as 44 + 46 equaling 90 show this arithmetic principle.
The question pertains to the addition of two even numbers that equal 90. An even number is any integer that can be exactly divided by 2, which means its last digit will be 0, 2, 4, 6, or 8. When adding two even numbers, the result is always an even number.
For instance, if we consider the numbers 44 and 46, both are even:
44 (even) + 46 (even) = 90 (even)This is just one example of even numbers adding up to 90. There are multiple pairs of even numbers that can sum up to 90, demonstrating the fundamental arithmetic principle that the sum of two even numbers is always even.
The slope of the line below is 2. Write a point-slope equation of the line using the coordinates of the labeled point( 3,10)
Answer:
Point slope form of the line is [tex]y-10=2(x-3)[/tex]
Step-by-step explanation:
The point-slope form of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
Where,
[tex]m[/tex] is the slope, and [tex](x_1,y_1)[/tex] is the x point and y point respectivelyThe question tells us the slope is 2, hence [tex]m=2[/tex] and the point given is (3,10) which means [tex]x_1=3[/tex] and [tex]y_1=10[/tex]. Substituting these values into the point slope form of a line gives us:
[tex]y-(10)=2(x-(3))\\y-10=2(x-3)[/tex]
Hence, point slope form of the line is [tex]y-10=2(x-3)[/tex]
What is x and y if you have 4x-2y=5 and y=2x+10
[tex]\bf \begin{cases} 4x-2y=5\\ \boxed{y}=2x+10 \end{cases}~\hspace{7em}\stackrel{\textit{substituting \boxed{y} in the 1st equation}}{4x-2\left( \boxed{2x+10} \right)=5} \\\\\\ 4x-4x-20=5\implies -20\ne 5[/tex]
which makes no sense, our variable went poof, but that is a flag that this system has no solution, let's quickly solve both for "y" to put them in slope-intercept form,
[tex]\bf 4x-2y=5\implies 4x-5=2y\implies \cfrac{4x-5}{2}=y\implies ~\hfill \stackrel{\stackrel{m}{\downarrow }}{2}x-\cfrac{5}{2}=y \\\\\\ ~\hfill y=\stackrel{\stackrel{m}{\downarrow }}{2}x+10[/tex]
so, notice, the slopes(m) are exactly the same for both, whilst the y-intercept differs, meaning both lines are parallel and therefore never touch each other, thus, no solution.
the untrue equation of -20 = 5, is another way to say, "no solution".
In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg b, if:
c=6, a=5
34 points to the first one who gets it correct
Answer:
b = sqrt(11)
Step-by-step explanation:
Using the Pythagorean theorem
a^2 + b^2 = c^2
and substituting what we know
5^2 + b^2= 6^2
25 + b^2 = 36
Subtract 25 from each side
25-25 + b^2 = 36-25
b^2 = 11
Take the square root of each side.
sqrt(b^2) = sqrt(11)
b = sqrt(11)
We only take the positive because length must be positive.
Use the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
a,b - legs
c - hypotenuse
We have c = 6 and a = 5. Substitute:
[tex]5^2+b^2=6^2[/tex]
[tex]25+b^2=36[/tex] subtract 25 from both sides
[tex]b^2=11\to \boxed{b=\sqrt{11}}[/tex]
Sooo.... I need some help with my math someone plz help
Answer:
The total area of the two triangles is 100 inches²
Step-by-step explanation:
To solve for the area of a triangle we use the formula [tex]\frac{1}{2} bh[/tex]
(or base*height divided by 2)
First I solved for the area of the blue triangle.
The base is 12 inches and the height is 10 inches.
[tex]\frac{1}{2}[/tex] * 12 * 10 equals 60 inches².
For the orange triangle the base is 8 inches and the height is 10 inches.
[tex]\frac{1}{2}[/tex] * 8 * 10 equals 40 inches².
60in² + 40in² = 100in²
4x=100 the answer on alegebra 1
Answer:
Its C. 25
Step-by-step explanation:
I just divided 100 by 4
4x = 100 divide both sides by 4
x = 25 → c.
--------------------------
5x = 25 divide both sides by 5
x = 5 → c.
---------------------------
3x + 5 = 17 subtract 5 from both sides
3x = 12 divide both sides by 3
x = 4 → a.
--------------------------
3x + 14 = 11 subtract 14 from both sides
3x = -3 divide both sides by 3
x = -1 → b.
Please help take as long as you need In not in a hurry (25pst)
Translate the following sentence into math symbols. Then solve the problem. y more than 4 is –36
How would you convince a fellow student that the number 0.57 is a rational number?
Answer:
4+y = -36
y = -40
The definition of a rational number is the ratio of two integers
Lets rewrite .57 as a fraction
.57 = 57/100
Both 57 and 100 are integers and 57/100 is the ratio of integers so .57 is rational.
Step-by-step explanation:
4+y = -36
Subtract 4 from each side
4+y-4 = -36-4
y = -40
The definition of a rational number is the ratio of two integers
Lets rewrite .57 as a fraction
.57 = 57/100
Both 57 and 100 are integers and 57/100 is the ratio of integers so .57 is rational.
2. Dan and Bob went to the carnival. Dan bought 3 ticket refills and a lunch for $10.35. Bob bought 2 ticket refills and the lunch for $8.35. SHOW YOUR WORK (a) Write a system of equations. Use t for tickets and l for lunch. (b) Graph the equations in the system. (c) Use your graph to estimate how much each item cost.
Answer:
Let t represents for ticket and l represents for lunch.
As per the given statement: Dan bought 3 ticket refills and a lunch for $10.35
then, we have
[tex]3t + l = \$10.35[/tex]
Also, it is given that Bob bought 2 ticket refills and the lunch for $8.35.
⇒[tex]2t + l = \$8.35[/tex]
(a)
System of an equations are:
[tex]3t + l = \$10.35[/tex]
[tex]2t + l = \$8.35[/tex]
(b)
Let x-coordinate represents ticket refills and y-coordinates represents lunch
You can see the graph of the given equation as shown below in the attachment.
(c)
To find the cost of each items;
Using graph to estimate the cost of each items;
then;
Cost of ticket refills(t) = $2
and
Cost of lunch(l) = $4.35
What’s 127.2 divided by 14
The width of a rectangle is fixed at 2yd. For what lengths will the area be at least 4 yd ^2?
My second question is: a rectangle has a perimeter of 8ft. The length is 5ft less than two times the width. Fond the length and width.
Answer:
Length of rectangle ≥ 2 yd.
Step-by-step explanation:
Suppose the length of rectangle = X yd.
Given the width of rectangle = 2 yd.
Area ≥ 4 yd²
Length * width ≥ 4 yd²
2X ≥ 4 yd²
X ≥ 2 yd
So, length of rectangle must be at least 2 yd.
****************************************************************************************
Answer:
length = 1 feet and width = 3 feet.
Step-by-step explanation:
Suppose the width of rectangle = X feet.
then length of rectangle = (2X - 5) feet.
Given the perimeter of rectangle = 8 feet.
The formula is Perimeter = 2 * (length + width)
8 = 2 * (2X - 5 + X)
8 = 2 * (3X - 5)
8 = 6X - 10
6X = 8 + 10 = 18
X = 18/6 = 3.
so 2X - 5 = 2(3) - 5 = 6 - 5 = 1.
Hence, length = 1 feet and width = 3 feet.
Function f is an exponential function.
By what factor does the output value increase as each input value increases by 1?
Answer:
Multiply the output value by 2 for each input value increases by 1
Step-by-step explanation:
Function f is an exponential function
Since it is an exponential function , we find out common ratio of output first
WE divide second term by first term to get common ratio
[tex]\frac{\frac{1}{16}}{\frac{1}{64}}[/tex]
[tex]\frac{1}{16} * \frac{64}{1}= 4[/tex]
Change in output = 4
Now we find change in input
Input increases by 2 so change in input = 2
Factor that increase the output is [tex]\frac{4}{2} = 2[/tex]
Answer:
If the input value increases by 1, the output value increases by 2.Step-by-step explanation:
The given table represents an exponential function, that means that variables show a sequence which have an increasing factor that we can find by division.
If we divide the second values by the first value, we could find the factor of the exponential function.
[tex]\frac{1}{16}\div \frac{1}{64} =\frac{1}{16} \times \frac{64}{1}=4[/tex]
So, [tex]f(x)[/tex] increases by a factor of 2.
Now, using the table we see that [tex]x[/tex] values increases by a difference of [tex]+2[/tex], not a factor.
At the moment, while the input value increases by 2, the output value increases by 4.
This means that if the input value increases by 1, the output value increases by 2.
Therefore, the answer is 2.
Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large ?
Answer:
the awnser is c
Step-by-step explanation:
the c
Answer:
Its C
Step-by-step explanation:
I got a 100% on the test
Which exponential function grows the fastest?
A) f(x) = 5·2x
B) f(x) = 4·3x
C) f(x) = 3·4x
D) f(x) = 2·5x
Answer:
If x is an exponent in all those functions, then the function that grows the fastest is D, because it has the highest base 5 which is raised to x.
Step-by-step explanation:
The function [tex]f(x) = 2\times5^x[/tex] grows fastest. The correct answer is option D.
Given that the following functions:
[tex]f(x) = 5\times2^x[/tex] (1)
[tex]f(x) = 4\times3^x[/tex] (2)
[tex]f(x) = 3\times4^x[/tex] (3)
[tex]f(x) = 2\times5^x[/tex] (4)
To determine which exponential function grows the fastest, compare the bases of the functions. The base of an exponential function determines how quickly it grows.
Let's compare the bases:
(1) The base is 2.
(2) The base is 3.
(3) The base is 4.
(4) The base is 5.
Since the base determines the rate of growth, conclude that [tex]f(x) = 2\times5^x[/tex] grows the fastest among the given options because 5 is the largest base.
In other words, as x increases, the function [tex]f(x) = 2\times5^x[/tex] will have the steepest increase in value compared to the other options.
Hence, the function [tex]f(x) = 2\times5^x[/tex] grows fastest.The correct answer is option D.
Learn more about Exponential Function here:
https://brainly.com/question/29287497
#SPJ6
a) 120 is what percentage of 30
b) 30 is 120% of what number
c) what number is 30%of 120
WHOEVER GIVES ME THE RIGHT ANSWER AND A STEP BY STEP EXPLANATION GETS POINTS AND BRAINLIST************************************************************************************************
Answer:
a ) 400 percent
b ) n = 25
c) n= 36
Step-by-step explanation:
Is means equals, of means multiply and percents need to be changed to decimals.
a) 120 is what percentage of 30
120 = P * 30
Divide each side by 30
120/30 =P* 30/30
4 = P
Multiply by 100 to give the percentage
4 * 100
400 percent
b) 30 is 120% of what number
30 = 1.2 * n
Divide each side by 1.2
30/1.2 = 1.2n/1.2
25 = n
c) what number is 30%of 120
n = .3 * 120
n =36
How to find the surface area of rectangular prism
Answer:
Formula:
The general formula for the surface area (SA) of a prism is:
SA = 2B + Ph
Step-by-step explanation:
where:
B is the area of one base (since there are two identical bases, we multiply by 2).
P is the perimeter of the base (the total length of all sides of the base polygon).
h is the height of the prism (the distance between the two bases).
Steps to Find the Surface Area:
Identify the base shape and calculate its area:
Depending on the type of prism (triangular, rectangular, etc.), use the appropriate formula to find the area of one base.
Find the perimeter of the base:
Add up the lengths of all the sides of the base polygon.
Calculate the lateral surface area:
Multiply the perimeter of the base (P) by the height of the prism (h). This gives you the total area of all the lateral faces.
Sum the areas:
Add the area of two bases (2B) you calculated in step 1 and the lateral surface area from step 3. This will be the total surface area of the prism.
Tips:
Make sure you identify the correct height of the prism. It's the perpendicular distance between the two bases, not the length of a slanted lateral face.
If the lateral faces are not all the same shape (e.g., a truncated prism), you might need to calculate the area of each lateral face separately and add them all up.
By following these steps and using the formula, you can find the surface area of any prism!
The Girls’ Scouts are sponsoring a cookie sale. If their goal is to raise at least $500.00, how many cookies must they sell at $5.50 each in order to meet that goal? Write and solve an inequality.
Answer:
91 boxes
hope it helps
Step-by-step explanation:
you will divide $500.00 by $5.50 to find you how many cookies need to be sold
500 ÷ 5.50 = 90.9
so they need to sell about 91 boxes in order meet their goal
To check your work you can multiply
5.50 x 91 = $500.50
Using the divison operation, the number of cookies that must be sold in other to meet their target is 91
Target amount to be raised = $500Cost per cookie = $5.50The Number of cookies that must be sold to meet their target can be obtained using the divison operation thus :
Target amount ÷ cost per cookieHence,
Number of cookies to be sold = $500 ÷ 5.50 = 90.90 = 91(nearest whole number)
Therefore, the Number of cookies that must be sold to meet their target is 91.
Learn more : https://brainly.com/question/13795820
Help me please he has the high ground
Answer:
line (3)
Step-by-step explanation:
note that [tex]\frac{x}{4}[/tex] + 3 - 3 = - 12 - 3
should then be [tex]\frac{x}{4}[/tex] = - 14 Not - 9
first error occurs in line (3)
Two lawn-mowing services are compared. The monthly cost, y dollars, as compared to the number of times the yard is mowed, x. The monthly cost of Service a is represented by y = 30x+20. The graph of service b costs goes through (0,0) and (5,150). how do these two services differ?
Answer:
Service a charges $30 per mow plus an additional $20 flat fee each month, however, Service b only charges $30 per mow, so Service b would be cheaper.
Step-by-step explanation:
This question is asking you to compare costs using linear equations. In a linear equation, 'x' represents the independent variable, in this case the number of times the yard is mowed, and 'y' represents the dependent variable, or the monthly cost. 30 is the slope, or rate of change, which in this problem is the cost per time the yard is mowed. In the equation for Service a, we can see that it is a charge of $30 per time, however, there is also an additional fee of $20 - which is our y-intercept. However, Service b has two points (0,0) and (5,150). Using these two points, we can find the slope, or rate, by subtracting the 'y' values over the 'x' values, or (150-0)/(5-0), to get 30. Since Service b has the starting point of (0,0), or cost is $0 when there are 0 lawns mowed, then they do not have a flat fee.
plz help undertand this question
Answer:
h=4=30
c=2=60
Hope that help
Do u understand? I will mark a brainlist
Answer:
15
Step-by-step explanation:
4g(3)+2[g(2)]²
4((3+4)/√7(3)-5)+2[(2+4)/√7(2)-5]²
=15
Answer:
Answer is option c. (15)
I hope its bigger so u can seeeeeeeeeee!!!
Answers:
Gabe needs 30 liters of the 50% solution
Gabe needs 30 liters of the 70% solution
Both answers are 30
==================================
Explanation:
We have two beakers, each of which we don't know how much is inside. Let's call this x and y
x = amount of liquid in the first beaker (water+acid)
y = amount of liquid in the second beaker (water+acid)
We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step
We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following
(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60
We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so
(0.5x+0.7y)/60 = 0.60
0.5x+0.7y = 0.60*60 .... multiply both sides by 60
0.5x+0.7y = 36
0.5x+0.7( y ) = 36
0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)
0.5x+0.7(60)+0.7(-x) = 36 .... distribute
0.5x+42-0.7x = 36
-0.2x+42 = 36
-0.2x = 36-42 .... subtract 42 from both sides
-0.2x = -6
x = -6/(-0.2) .... divide both sides by -0.2
x = 30
He needs 30 liters of the 50% solution
Use this x value to find y
y = 60-x
y = 60-30
y = 30
So he needs 30 liters of the 70% solution
What’s the answer please
Answer:
Step-by-step explanation:
Answer:
(x, y ) = (5, 4 )
Step-by-step explanation:
given the 2 equations
3x - 2y = 7 → (1)
- 3x + 5y = 5 → (2)
adding the 2 equations term by term will eliminate x
(3x - 3x) + (- 2y + 5y ) = (7 + 5 )
0 + 3y = 12
3y = 12 ( divide both sides by 3 )
y = 4
substitute y = 4 in either of the 2 equations and solve for x
(1 ) : 3x - 8 = 7 ( add 8 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
solution is (5 , 4 )
Jose and Alexia were lab partners in science class. They needed to weigh three samples of rock to the nearest thousandth. The first sample weighed 3.346 grams, the second weighed 2.479 grams, and the third weighed 9.240 grams. How much did the samples weigh altogether? 15.065 g 11.719 g 5.825 g 0.069 g
Answer: 15.065 grams
Step-by-step explanation:
Given: Jose and Alexia needed to weigh three samples of rock to the nearest thousandth.The weight of the first sample = 3.346 grams
The weight of the second sample = 2.479 grams
The weight of the third sample = 9.240 grams
Add all together such that the total weight=[tex]3.346+2.479+9.240[/tex]
⇒The total weight of the samples = 15.065 grams.
Therefore, the samples weigh 15.065 grams altogether.
Mr. Willis is building a new dock at his lake house that will be 35 feet long. If the blueprints show the dock as 16 inches long, what scale was used to create the blueprint?
Answer:
1:26.25
Step-by-step explanation:
Scale = 16 in:35 ft
Convert 35 ft to inches
1 ft = 12 in
35 × 12/1 = 420 in
Scale = 16 in:420 in Divide each term by 16
Scale = 1:26.25
The scale used to create the blueprint for Mr. Willis's dock is 1:26.25, meaning that each inch on the blueprint represents 26.25 inches of the actual dock.
The actual dock is 35 feet long, and there are 12 inches in a foot, so the dock is 35 feet × 12 inches/foot = 420 inches long. The blueprint shows the dock as 16 inches long. Therefore, we use the scale factor formula:
scale factor = blueprint length / actual length
The scale factor is 16 inches / 420 inches, which simplifies to 1/26.25. Thus, the blueprint is drawn at a scale of 1:26.25, meaning that 1 inch on the blueprint represents 26.25 inches in the actual size.
Plz help me I’m a desperate little boy
Answer:
They would be going at 56 miles per hour.
Step-by-step explanation:
You just take the miles they traveled (1,750) and divide it by the hours it took to get ther (31) the equation qould look like this 1,750 / 31 = 56
miles per hour is measured by how far you go and how long it takes to get there!
Answer: The answer is 56 miles per hour
Step-by-step explanation:
you divide 1,750 by the time it took which was 31
you would get 56.4516129032 then you round to the nearest whole number which is 56
i hope this helps- brycefoster
Which equation could have been used to create this graph
a. y = 4x
b. y = x + 4
c. y = 2x
d.y = x + 2
Answer:
The answer is A
Hoped it helped <3 tell me if I am wrong
Step-by-step explanation:
Using the number 234.58937 what is the sum of the hundreds digit and the hundredths digit? A) 12 B) 11 C) 10 D) 9 E) 8
Answer:
b
Step-by-step explanation:
add 3 and 8 = 11
A creative group of students produces a reality television show that features various aspects of college and dorm life. Once the show begins airing on the university's public access cable channel, the function shown below represents the number of weeks that pass until x percent of the campus is watching the show. Compute w(50) to one decimal place, and interpret the result in the context of this problem.
w(x)=(x+125)^1/3
A. It will be about 6 weeks until 50 percent of the campus is watching the show.
B. It will be about 5.7 weeks until 60 percent of the campus is watching the show.
C. It will be about 5.6 weeks until 50 percent of the campus is watching the show.
D. It will be about 5.5 weeks until 50 percent of the campus is watching the show.
Answer:
Option c is correct option
it will be about 5.6 weeks until 50 percent of the campus is watching the show
Step-by-step explanation:
we are given
w(x)=[tex]x+125^{\frac{1}{3} }[/tex]
w(50)=[tex]50+125^{\frac{1}{3} }[/tex]
w(50)=[tex]175^{\frac{1}{3} }[/tex]
w(50)=[tex]\sqrt[3]{175}[/tex]
w(50)=5.59
we have to convert it into one decimal form
5.59=5.6
hence option c is correct option.
Computing w(50) using the provided function yields a value of approximately 5.6, which means it will take about 5.6 weeks for 50 percent of the campus to start watching the student-produced reality show. Thus, the correct answer to the student's question is option (C).
To compute w(50) based on the given function [tex]w(x)=(x+125)^{(1/3)}[/tex], we substitute x with 50:
[tex]w(50) = (50+125)^{(1/3)}[/tex]
Calculate the value inside the parenthesis:
[tex]175^{(1/3)}[/tex]
Taking the cube root of 175 gives us approximately:
5.6
Thus, w(50) ≈ 5.6, and we can interpret this in context by stating:
It will be about 5.6 weeks until 50 percent of the campus is watching the show.
This means the correct answer from the provided options is C. It takes approximately 5.6 weeks for the reality television show produced by the students to reach a viewership of 50 percent of the campus.
Armando sang 2/3 of a song in 3/4 minute. What is the rate of his songs per minute?
Answer:
8/9 of a song per minute
Step-by-step explanation:
We want to find the rate, which is songs per minutes
songs/ minute
2/3 / 3/4
We can use copy dot flip
2/3 * 4/3
8/9 songs per minute
If c= 8 what is the value of 4c + ( 4-3)
Also, if t= 5, what is the value of 16-3t?