Answer:
5/12
Step-by-step explanation:
4/6 - 1/4 The common denominator would be 12
8/12 - 3/12 = 5/12
Answer:
5/12
Step-by-step explanation:
mark me please
if $m$ is a real number and $x^2 mx 4$ has two distinct real roots, then what are the possible values of $m$? express your answer in interval notation.
The m values that allow the quadratic equation [tex]x^2 + mx + 4[/tex] to have two independent real roots are m in the open range (-∞ , -4) (4 , ∞). This may be expressed in interval notation as:
m ∈ (-∞, -4) ∪ (4, ∞).
The quadratic formula tells us that the quadratic equation's roots
[tex]x^2 + mx + 4 = 0[/tex]
are provided by:
[tex]x = (-m[/tex] ± [tex]sqrt(m^2 - 16))/2[/tex]
The discriminant [tex](m^2- 16)[/tex]must be positive, i.e., [tex]m^2[/tex] > 16, for the quadratic to have two separate real roots. As a result, we have two instances to consider:
Case 1: m > 4. Because [tex](-m + sqrt(m^2 - 16)/2[/tex]and[tex](-m - sqrt(m^2 - 16)/2[/tex]are both real and unique in this case, the quadratic has two separate real roots.
Case 2: m < -4. In this situation, [tex](-m + sqrt(m^2 - 16)/2[/tex] is negative, whereas[tex](-m - sqrt(m^2 - 16)/2[/tex] is positive, indicating that the quadratic has two separate real roots.
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Use the word bank to complete the statements below.
A reflection over the x-axis.
A vertical stretch by 11 units.
A translation left by 5 units.
A translation up 4 units.
What is reflection over graph?The reflection of a function across the x- or y-axis is another transformation that may be used. In contrast to a horizontal reflection, which reflects a graph horizontally across the y-axis, a vertical reflection reflects a graph vertically across the x-axis.
An illustration of a transformation is a reflection, which flips a shape (referred to as the pre image) over a line (referred to as the line of reflection) to produce a new shape (called the image). Imagine what would happen if you flipped the form over the line in order to graph a reflection.
Here, f(x) = 1/x²
Now, reflect the graph over the x-axis to obtain the graph of:
f(x) = -1/x²
Now, stretch the graph vertically by 11 units to get the graph of:
f(x) = -11/x²
Again, translate the graph left by 5 units to obtain the graph of:
f(x) = - 11 / (x + 5)²
Now, translate the graph up by 4 units to obtain the graph of:
f(x) = 4 - {11 / (x + 5)²}
Hence,
A reflection over the x-axis. A vertical stretch by 11 units. A translation left by 5 units. A translation up 4 units.
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Please help thank you
Raoul and Sven are at an angle of = cos1 (cos a cos 43° + sin a sin 43°). The sled is being moved by a force with a magnitude of [(105 cos a + 122 cos 43°)2 + (105 sin a + 122 sin 43°)2].
What happens when two vectors are combined?The outcome of two vectors is determined by the parallelogram law of vector addition. The resultant vector, R=(A2+B2+2ABcos), follows this law. A and B are the two vectors in this situation, and is the angle between them.
The component in the direction of the sled's path is:
105 cos a
The component perpendicular to the path is:
105 sin a
Similar to this, Sven's force may be broken down into two parts: one that is parallel to the sled's course and one that is perpendicular to it. The element pointing in the sled's direction is:
122 cos 43°
The component perpendicular to the path is:
122 sin 43°
The net force on the sled is the vector sum of these four components:
Net force = (105 cos a + 122 cos 43°) i + (105 sin a + 122 sin 43°) j
The magnitude of the net force is:
|Net force| = √[(105 cos a + 122 cos 43°)² + (105 sin a + 122 sin 43°)²]
To find the angle between Raoul and Sven, we can use the dot product of their forces:
Raoul · Sven = |Raoul| |Sven| cos θ
We can solve for θ as follows:
cos θ = (Raoul · Sven) / (|Raoul| |Sven|)
cos θ = [(105)(122) cos a cos 43° + (105)(122) sin a sin 43°] / (105)(122)
cos θ = cos a cos 43° + sin a sin 43°
θ = cos⁻¹(cos a cos 43° + sin a sin 43°)
a. The angle between Raoul and Sven is θ = cos⁻¹(cos a cos 43° + sin a sin 43°).
b. The magnitude of the force moving the sled is |Net force| = √[(105 cos a + 122 cos 43°)² + (105 sin a + 122 sin 43°)²].
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Please help me with this!! ( please answer thinking wuestion
1. In his newspaper, Peter Zenger published articles criticizing the Governor's use of arbitrary power
2. Because it was against the law to criticize the king or his appointees, the Attorney General accused Peter Zenger of committing" libel.
3. Hamilton believed Zenger was not guilty of this charge because in Zenger's newspaper articles the "truth is told
4. Hamilton felt that more than just Peter Zenger was on trial. He felt that the larger concept of American" liberty was at stake.
How to convey the informationHamilton and Morris agreed that the trial of Peter Zenger was important for American freedom and the defense of liberty.
As for the question about television and newspaper reporters, it is a matter of opinion. Some people believe that the freedom of the press is an important part of democracy, and that reporters should be able to criticize anyone in power, including the president. Others believe that criticism of the president should be limited to protect the dignity and stability of the office. In either case, it is important to strike a balance between free speech and responsible journalism.
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The distance to the nearest exit door is at most 100 feet. Write an inequality
Answer:
The distance to the nearest exit door is at most 100 feet can be written as an inequality as:
d ≤ 100
Suppose the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per day. Write an equation for the water level, y, after x days. In how way days will the water level be 26 feet?
The equation is......
It will take.....days for the water level to be 26 feet.
The equation is y = (-0.5)x + 34 and it will take 16 days for the water level to be 26 feet.
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
Let the number of days = x, and the water level = y.
Given that,
Water level of river = 34 ft (initial value/y-intercept)
Rate of change = -0.5 ft per day (slope)
The equation of the line is given as:
y = mx + c
where, m is the slope
c is the y-intercept.
Substituting the values we have:
y = (-0.5)x + 34
The number of days in which the water level will reduce to 26 ft is:
26 = (-0.5)x + 34
26 - 34 = -0.5x
x = 16 days.
Hence, it will take 16 days for the water level to be 26 feet.
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At the beginning of a snowstorm, Kaj had 7 inches of snow on her lawn. The snow
then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was
melting, how much snow would Kaj have on her lawn 3 hours after the snow began to
fall? How much snow would Kaj have on her lawn after t hours of snow falling?
After 5 hours of snow falling, Kaj would have 9.5 inches of snow on her lawn.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
After 3 hours of snow falling, Kaj would have:
7 + 0.5(3) = 8.5 inches of snow on her lawn.
To find how much snow Kaj would have on her lawn after t hours of snow falling, we can use the following formula:
S = 7 + 0.5t
where S is the amount of snow on Kaj's lawn in inches and t is the time in hours since the beginning of the snowstorm.
For example, if we wanted to find how much snow Kaj would have on her lawn after 5 hours of snow falling, we could substitute t = 5 into the formula:
S = 7 + 0.5(5) = 9.5
Therefore, After 5 hours of snow falling, Kaj would have 9.5 inches of snow on her lawn.
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I NEED HELP ON THIS ASAP!!!!
In mathematics, a line is a set of points that extend indefinitely in two directions.
How to explain the linePoints on the line: These are points that lie exactly on the line. They are equidistant from the two endpoints of the line and are considered to be part of the line itself.
Points above the line: Points that are vertically above the line are referred to as points above the line. These points are located higher than the line and have a greater y-coordinate than any point on the line.
Points below the line: Points that are vertically below the line are referred to as points below the line. These points are located lower than the line and have a smaller y-coordinate than any point on the line.
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A procedure for using sample data to find the estimated regression equation is
a. point estimation. b. interval estimation.
c. the least squares method. d. extrapolation.
Option C. the least squares method is a procedure for using sample data to find the estimated regression equation.
The procedure for using sample data to find the estimated regression equation is called the least squares method. This method involves finding the line that minimizes the sum of the squared vertical distances between the observed data points and the line. The estimated regression equation is used to predict the value of the dependent variable based on the value of the independent variable. This method is commonly used in regression analysis to model the relationship between two variables. It is a useful tool for making predictions and understanding the relationship between variables.
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$190 is invested in an account earning 7.1% interest (APR), compounded quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answer:
Value of account after t years is
[tex]A = \boxed{190( 1.0178)^{4t}}[/tex]
Percentage of growth per year
CAGR = [tex]\boxed{7.31\%}[/tex]
Step-by-step explanation:
The generalized equation for the accrued value of an amount P(the principal) deposited at i% annual interest compounded n times a year for t years is
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]
where r = i/100, the interest rate expressed as a decimal
Given P = $190
i = 7.1% ==> r = 7.1/100 = 0.071
Since the interest is compounded quarterly and there are 4 quarters in a year, the interest is compounded 4 times a year so n = 4
[tex]A = 190 \left(1 + \dfrac{0.071}{4}\right)^{4t}[/tex]
[tex]A = 190\left(1 + 0.01775\right)^{4t}}\\\\A = 190( 1.01775)^{4t}[/tex]\
Rounding the annual growth rate to 4 decimal places gives
[tex]A = P(1.0178)^{4t}[/tex]
In one year, the investment of $190 will grow to
[tex]A = 190(1.0178)^{4}[/tex]
[tex]A = $203.89[/tex]
Compound Annual Growth = = 203.89 - 190 = $13.89
Compound Annual Growth Rage(CAGR) = $13.89/$190 = 0.073105
As a percentage, CAGR Percent = 0.073105 x 100 = 7.3105% or rounded to nearest hundredth it would be 7.31%
in nine bernoulli trials, what is the probability that there will be more than the expected number of failures?
The probability of having more than the expected number of failures (i.e., at least five failures) in a set of nine Bernoulli trials is 0.2461, assuming that the probability of failure is 0.5.
In the field of probability, it is essential to understand the expected number of successes or failures in a given set of trials. However, what happens when we observe more or fewer outcomes than expected? In this scenario, we need to calculate the probability of observing a specific number of failures in a set of Bernoulli trials.
Let's assume that the probability of failure is denoted by "p," and the probability of success is denoted by "q." Thus, the expected number of failures in nine Bernoulli trials is given by:
E(X) = np
where n is the number of trials, and p is the probability of failure. In this case, n = 9, and we need to determine the probability of having more than the expected number of failures. This means we are interested in finding the probability of observing at least five failures since the expected number of failures is given by:
E(X) = 9p
If we assume that the probability of failure is 0.5 (i.e., p = 0.5), then the expected number of failures is 4.5 (i.e., E(X) = 9 * 0.5 = 4.5). Therefore, we are interested in finding the probability of observing at least five failures in nine Bernoulli trials.
To calculate this probability, we need to use the binomial distribution formula, which is given by:
[tex]P(X = k) = (^n_k) \times p^k \times q^{n-k}[/tex]
where P(X = k) is the probability of observing k failures in n trials, (n choose k) is the binomial coefficient, which is calculated as n! / (k! (n-k)!), p is the probability of failure, q is the probability of success (i.e., q = 1 - p), and k is the number of failures we are interested in observing.
Using this formula, we can calculate the probability of observing at least five failures in nine Bernoulli trials as follows:
P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= (9 choose 5) x 0.5⁵ x 0.5⁴ + (9 choose 6) x 0.5⁶ x 0.5³ + (9 choose 7) x 0.5⁷ x 0.5² + (9 choose 8) x 0.5⁸ x 0.5¹ + (9 choose 9) x 0.5⁹ x 0.5⁰
= 0.2461
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A store pays $742 for a flute and marks the price up by 202%. What is the amount of the
mark-up?
Round your answer to the nearest dollar: $
Cuanto es 4x9 porque yo tengo la respuesta que es 8
4 x 9 is a multiplication problem, which means 4 is being multiplied by 9. This can also be written as 4 x 9 = 36. 4 multiplied by 9 is equal to 36 because 4 is being added to itself 9 times, resulting in 36.
4 x 9 is a multiplication problem which means we are multiplying 4 and 9 together. This can also be written as 4 x 9 = 36. When multiplying two numbers together, you are adding the first number to itself the second number of times. In this case, 4 multiplied by 9 is equal to 36 because we are adding 4 to itself 9 times: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 36. This can also be written as 4 x 9 = 36, which means that 4 times 9 equals 36.
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A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 36° and AB = 8.6. Calculate the length of AC rounded to 3 SF.
Answer:
AC ≈ 6.25
Step-by-step explanation:
using the tangent ratio in the right triangle
tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{8.6}[/tex] ( multiply both sides by 8.6 )
8.6 × tan36° = AC , then
AC ≈ 6.25 ( to 3 SF )
The prices and weights of three boxes of cereal are shown below.
Brand A: $1.99 for 12 ounces Brand B: $2.29 for 16 ounces Brand C: $2.99 for 18 ounces
If you choose among these three boxes, what is the lowest unit price, in dollars, you can pay? If necessary, round your answer to the nearest cent.
Answer:
Brand b
Step-by-step explanation:
brand a is 0.165 per ounce
brand b is 0.143 per ounce
brand c is 0.166 per ounce
A store pays $11 for a softball glove. The store marks up the price by 5%. What is the amount of the markup? MUST HAVE A VERY CLEAR EXPLANATION
Answer: this app should be freer
Step-by-step explanation:
Katie is 1.62 m tall George is 3cm shorter than Katie how tall is George
Solve for x questions in picture
Answer:
x = 4
Step-by-step explanation:
Move the x to the left-hand side and change its sign
2x - x = 9 - 5
x = 9 - 5
Answer:
x=4
Step-by-step explanation:
Subtract 1x from both sides
Subtract 5 from both sides to isolate the variable
x=4
A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area ( A = lw), how long is the rectangle?
a. 21 inches
b. 340 inches
c. 20 inches
d. 15 inches
The length of the rectangle given the area and width is 21 inches
What is the length of the rectangle:Area of the rectangle = 357 square inches
Width of the rectangle = 17 inches
Length of the rectangle= l
Area of a rectangle = Length × width
357 = l × 17
357 = 17l
divide both sides by 17
l = 357 / 17
l = 21 inches
In conclusion, 21 inches is the length of the rectangle.
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you are flipping 100 coins, putting aside those that come up heads after each flip. how many flips do you expect to make before running out of coins to flip?
5050 flips expect to make before running out of coins .
Let's approach this problem using the concept of geometric distribution.
The probability of getting heads on any given coin flip is 1/2, assuming a fair coin.
So the probability of getting tails on a given flip is also 1/2.
The number of flips it takes to get the first head is a geometric distribution with a probability of success p = 1/2.
The expected number of flips until the first head appears is 1/p = 2 flips.
After the first head appears, there will be 99 coins left to flip.
The expected number of flips until the next head appears is still 2, since the probability of getting heads on any given flip is still 1/2.
So the expected number of flips until the second head appears (and the number of coins remaining drops to 98) is 2+1 = 3 flips.
Similarly, the expected number of flips until the third head appears (and the number of coins remaining drops to 97) is 2+1+1 = 4 flips.
We can generalize this pattern: after k heads have been obtained, the expected number of additional flips until the next head appears (and the number of coins remaining drops to 100-k) is k+1 flips.
Using this formula, we can calculate the expected number of flips to obtain all 100 heads:
E(number of flips) = (2 + 3 + 4 + ... + 101)
= (1 + 2 + 3 + ... + 100) + 100
= (100 x 101 / 2) + 100
= 5050
Therefore, we expect to make 5050 flips before running out of coins to flip and obtaining all 100 heads.
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Use the Distributive Property to solve each equation.
a. −1/2(b−6)= 5
b. 0.4(x−0.45)= 9.2
c. −4(p−212)=44
please help
The required answers are
a) b = -4
b) x = 23.45
c) p = 201
Distributive Property:The distributive property implies that multiplying a number by the sum of two or more addends yields the same result as dividing the multiplier, multiplying each addend individually, and combining the products . It can be given as,
a (b+c) = d
[tex](a*b) + (a*c) = d[/tex]
Now in the given question,
a) −1/2(b−6)= 5
by distributive property , we have
[tex](\frac{-1}{2} *b)-(\frac{-1}{2}*6 )=5\\\frac{-1}{2}b+3=5\\\frac{-1}{2}b=2\\b=-4[/tex]
b) 0.4(x−0.45)= 9.2
by distributive property , we have
0.4x - 0.4(0.45) =9.2
0.4x -0.18 = 9.2
0.4x = 9.38
x = 23.45
c) −4(p−212)=44
by distributive property , we have
-4p +4 (212) = 44
-4p + 848 =44
-4p = 44 - 848
-4p = -804
p = 201
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HELP PLEAES clarence made a scale drawing of a classroom. the scale in the drawing is 2 inches represenst 9 feet the actual length of the classroom is 36 feet what is the length of the classroom on the scale drawing
The length of the rectangular classroom will be 8 inches on the scale drawing.
What is a rectangle defined as?
Rectangles are four-sided polygons having internal angles of 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from the square in that its opposite sides are of equal length.
If one side of a rectangle is 20 cm long, the other side must be 20 cm long as well.
Two diagonals cross form a rectangle. Both diagonals are the same length.
P = 2 (Length + Width) defines the perimeter.
Rectangle Area=Length*Breadth
Now,
As total length of room =36 feet
and 9 feet = 2 inch on drawing scale
then length of classroom on drawing scale is = 36/9*2
=8 inch
Hence,
The length of the rectangular classroom will be 8 inches on the scale drawing.
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A weeping willow that is
15
1515 feet in height grows to a maximum height of
35
3535 feet in
�
yy years at a constant rate of
24
2424 inches per year. Which of the following equations best describes this situation?
1
foot
=
12
inches
1foot=12inches
The value of the equation is 35 = 15 + 2y , where y is the number of years and the y = 10 years
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the initial height of the weeping willow be = 15 feet
Let the final height of the weeping willow be = 35 feet
The height in feet the weeping willow grows each year = 24 inches = 2 feet
Let the number of years be = y
On simplifying the equation , we get
35 = 15 + 2y
Subtracting 15 on both sides of the equation , we get
2y = 20
Divide by 2 on both sides of the equation , we get
y = 10 years
Hence , the equation is y = 10 years
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Find the area of the polygon in square units.
The area of the polygon is 7.5 square units
How to determine the area of the polygonNote that the polygon given in the diagram takes the shape of a kite.
The properties of a kite are given as;
It two pairs of adjacent equal sidesIt has one pair of opposite angles that are equalThe diagonals are equalThe shorter diagonal forms two isosceles trianglesThe longer diagonal forms two equal trianglesThe diagonals are perpendicular to each otherThe formula for area of a kite is;
Area = pq/2
Area = 3(5)/2
Area = 15/2
Divide the values
Area = 7.5 square units.
Thus, the value is 7.5 square units
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cover all material from the lessons but will hopefully remind you of key points. To be prepared,
you must study all packets from Unit 1.
A salesman tracks the number of cars he sells through the model c, where c(m) is number of cars sold
and m is the month for 0 ≤ m ≤ 24.
1. What does c(10) represent?
2. What does
c(16)-c(8)
16-8
represent? 3. What does
represent?
c(7)-c(6.999)
7-6.999
a. It should be noted that c(10) represents the number of cars sold in the 10th month.
b. c(16) - c(8) represents the number of cars sold in the 16th month minus the number of cars sold in the 8th month. This difference could represent the net change in the number of cars sold between those two months.
What is a function about?The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. The process of evaluating a function is typically straightforward when we have the function in the form of a formula.
In this case, c(10) represents the number of cars sold in the 10th month.
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The human body produces about $4. 8\times10^6$4. 8×106 red blood cells in 4 times 10 to the negative 2 power$4\times10^{-2}$4×10−2 minute. How many red blood cells does the body produce each minute? Write your answer in scientific notation and in standard form
The total number of red blood cells produced by human body in each minute is given by [ 1.2 × 10^8 ] red blood cells
Number of red blood cells produced by human body = 4. 8 × 10^6
Time taken by human body to produce 4. 8 × 10^6 red blood cells
= 4×10^(−2) minute
Number of red blood cells produced by human body in one minute are :
4 × 10^(−2) minute = 4. 8 × 10^6 red blood cells
⇒ 1 minute = [ 4. 8 × 10^6 / 4 × 10^(−2) ] red blood cells
⇒ 1 minute = [ 1.2 × 10^( 6 - (−2) ) ] red blood cells
⇒ 1 minute = [ 1.2 × 10^( 6 + 2) ) ] red blood cells
⇒ 1 minute = [ 1.2 × 10^8 ] red blood cells
Therefore, total number of red blood cells produced by human body in one minute is equal to [ 1.2 × 10^8 ] red blood cells.
The above question is incomplete, the complete question is:
The human body produces about4. 8×10^6 red blood cells in 4×10^(−2) minute. How many red blood cells does the body produce each minute? Write your answer in scientific notation and in standard form.
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Given that 4ax² + 9x + c is always negative, what conditions must apply to the constants a and c?
Answer:
Step-by-step explanation:
According to question
[tex]4ax^{2} +9x+c < 0[/tex]
This means that the coefficient of the highest degree term
([tex]4ax^{2}[/tex]) must be positive
And the constant term (c) must be negative
So, the according to condition
4a must be positive,
which means a must be positive
And, c must be negative
[tex]a > 0\\c < 0[/tex]
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Calculate the angle marked y in
the diagram below.
by=||
57°
y
Step-by-step explanation:
2y+57=180
2y=180-57
2y=123
y=123/2=61.5°
y=61.5
Answer:
61.5
Step-by-step explanation:
As the lines are parallel you can use the alternate angle rule.
So within the triangle you have 57 + x + x ( y is equal to the other angle because the lines are the same length and angle highlighted by the double lines )
And so...
180 - 57 = 123
123/2 = 61.5
write the set b=1/10 1/100 1/1000 in set builder form
The set builder form of the set b = {1/10, 1/00, 1/1000} is b = {x | x = 1/10ⁿ, where n is a positive integer}
In mathematics, set builder notation is a concise way of describing a set using a rule or a formula.
Let's explore how we can use set builder notation to write the set b={1/10, 1/100, 1/1000}.
To begin, we need to identify the common property that these elements share. In this case, we can observe that each element is a rational number with a power of ten as the denominator. So, we can write the set b as follows:
b = {x | x = 1/10ⁿ, where n is a positive integer}
In this notation, the vertical bar represents "such that" and separates the description of the element from the rule that defines the set. The letter x is a variable that represents any element that satisfies the rule. We use the power of ten as a common property to describe the set b.
In this set builder form, we can see that b is a set of elements that can be expressed as 1/10 to the power of a positive integer. We can also use set builder notation to define other sets with different properties, such as sets of even numbers or sets of prime numbers.
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A rectangle is divided up into four smaller rectangles/ The length of each segment is a whole number of cm. The areas of three rectangles is given in the diagram. Find the number of sq. cm in the total area of rectangle ACEG
The solution is, The value of N is 12 sq cm.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
1. Find the greatest common factor of 35 and 42 to find the length (horizontal). The GCF is 7.
2. The horizontal length of the 35 and 42 sq cm is 7, and the heights are 5 and 6 respectively.
3. Moving on tot he 10 sq cm rectangle,
since the height of just that one rectangle is and 10/5 is 2, the horizontal length is 2.
4. For n, the horizontal length is 2 and the height is 6.
2 X 6 is 12 sq cm.
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