I really need help with this if you could also add an explanation that would be much appreciated.
Answers
From the rectangle, the value of x is 4.9 or -2.4
What is a rectangle?A rectangle is a four sided polygon whose opposite sides are equal and parallel, The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.)
The parameters given for the solution are
Area = 24m
Length = x+2
width = 2x-9
Area = l*w
This implies that (x+2)(2x-9)=24
Collecting like terms we have
2x2-5x-24=0
Solving the equation we have
(5±√25+192)/4
⇒(5±√217)/4
⇒(5+14.7)/4 or( 5-14.7)/4
x=4.9 or x = 2.4
Therefore the value of x in the figure is 4.9 and -2.4 respectively
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Related Questions
Two different containers with coins each have a volume of 500 mL. One container is full of quarters and the other container is full of pennies. What will happen to the volume if all of the coins are transferred into separate 1 L containers?
Answers
The total volume of coins will remain the same, but the two containers will now each have a volume of 1 L.
1. The two containers each have a volume of 500 mL.
2. Both containers are full of coins: one of quarters and the other of pennies.
3. All of the coins are transferred into separate 1 L containers.
4. The total volume of coins will remain the same (500 mL), but the two containers will now each have a volume of 1 L.
The original two containers each had a volume of 500 mL and were full of coins - one container with quarters, the other with pennies. All of the coins were then transferred into separate 1 L containers. After this, the total volume of coins remained the same (500 mL), but the two containers now had a volume of 1 L each. This means that the same amount of coins were contained in a larger space, which did not affect the amount of coins but did affect the volume of the containers. Therefore, when all of the coins were transferred into separate 1 L containers, the total volume of coins stayed the same, but the two containers each had a volume of 1 L.
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A little boy accidentally let go of his balloon, and it floated away. It was 3 feet above the ground when he let go, and it steadily rose 3 feet per second.
Answers
The equation that shows the relationship between the number of seconds since the boy let the balloon go is y = 3x + 3.
What is a function?A function can be defined as the outputs for a given set of inputs. The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Here,
Given, A little boy accidentally let go of his balloon, and it floated away. It was 3 feet above the ground when he let go this height is our constant value in the function.
It steadily rose 3 feet per second.
Assuming time in seconds to be x and total height is y.
∴ An equation that shows the relationship between the number of seconds since the boy let the balloon go is,
y = 3x + 3
The link between the amount of seconds after the youngster let go of the balloon is shown by the equation y = 3x + 3.
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Which statements are correct interpretations of this graph?
Melanie pumps 4 in. of water every 4 hours
Melanie pumps 8 in. of water every 4 hours
Melanie pumps 0.5 in. of water every hour
Melanie pumps 14 in. of water every 7 hours
Answers
A website is selling plastic rings for $0.63. The site got the plastic rings at a cost of $0.25. What percentage is the mark-up?
Answers
The percentage that is the mark-up is 152%
What percentage markup did the website make?From the question, we have the following parameters that can be used in our computation:
Initial value = $0.25
Final value = $0.63
The percentage mark up is then calculated as
Percentage mark up = (Final value - Initial value)/Initial value * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage mark up = (0.63 - 0.25)/0.25 * 100%
Evaluate
Percentage mark up = 152%
Hence, the percentage mark up is 152%
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What is the answer to this question?(m^0)^2
Answers
Answer:
1
Step-by-step explanation:
(m^0)^2 Any non-zero expression raised to the power of 0 equals 1 .
m^0 = 1 Bring down the exponent ^2
1^2
The exponent 2 represents how many times the base number is going to be multiplied by itself. So, 1 is going to be multiplied twice by itself
So,
1 x 1 = 1
Solution, 1
The measure of an exterior angle of a triangle is ..... the sum of the measures of the remote interior angles.
Answers
Using the properties of a triangle, The answer is Yes, The measure of an exterior angle of triangle is sum of the opposite interior angles of the triangle.
What is an angle?An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.
What is a triangle?A triangle is a three-sided polygon that has three angles and three sides. The sum of the three angles in a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angles, such as right triangles, acute triangles, and obtuse triangles. A right triangle has one angle that measures exactly 90 degrees, while an acute triangle has all angles that measure less than 90 degrees, and an obtuse triangle has one angle that measures greater than 90 degrees. Triangles can also be classified by the length of their sides as equilateral, isosceles and scalene triangle. An equilateral triangle has all sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length.
z = exterior angle
x, y = opposite interior angles to z.
z= x + y
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what is 10 divided by 1 2/3
Answers
Answer: 6
Step-by-step explanation:
change mix number to factored form
1 1/3= 4/3
reciprocate to divide
10/1 * 3/4
cross multiple
5/2 is your answer
are the categories by which data are grouped.
Classes
Class widths
Upper class limits
Lower class limits
Answers
Those are all categories used in grouping data in statistics.
Classes refer to the specific groups or intervals into which the data is divided.Class widths refer to the range of values within each class.Upper class limits refer to the highest value in each class.Lower class limits refer to the lowest value in each class.Data Classification CategoriesThese categories are typically used for creating a frequency distribution, which is a way to organize and summarize a set of numerical data. By grouping the data into classes, it becomes easier to see patterns and trends in the data, such as the shape of the distribution and the presence of outliers.
Additionally, these categories are often used to create histograms, which are graphical representations of a frequency distribution. Histograms are useful for visualizing the distribution of a dataset and identifying any patterns or outliers in the data.
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If square ABCD is dilated by a scale factor of 2 with a dilation center at vertex A, by what factor does the area of the square increase
Answers
The area of the square ABCD will increase by a factor of 4
What is transformation"A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Transformations can be divided into four categories: translation, rotation, reflection, and dilation.
In dilation of area of a square by a factor of 2 the effect is increment by a factor of 4
Say a square has side x, area = x²
after dilation, side = 2x, area = 4x²
comparing the two areas
= 4x²/x²
= 4
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If the expression, 10x² +23x-42 is factored as (ax + b) (cx-d) where a, b, c, and d are integers. What is the value of a?
Answers
The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
If the expression, 10x² +23x - 42 is factored as (ax + b) (cx-d) where a, b, c, and d are integers.
Factorize the expression, then we have
⇒ 10x² +23x - 42
⇒ 10x² + 35x - 12x - 42
⇒ 5x(2x + 7) - 6(2x + 7)
⇒ (2x + 7)(5x - 6)
Compare the factors with (ax + b) (cx-d).
The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.
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Find the value of x
Answers
Answer:
x = 10
Step-by-step explanation:
from the figure the two added angles are 90°, we solve with an equation
5x + 4 + 3x + 6 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 80 : 8
x = 10
---------------------------
check5 x 10 + 4 + 3 x 10 + 6 = 90
90 = 90
the answer is good
^3√125x^2y^7
i can’t figure this out
Answers
[tex]\sqrt[3]{125 x^2 y^7}\qquad \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad ~~ 5^3\\ y^7=y^{6+1}\\ \qquad y^6 y^1\\ \qquad (y^2)^3 y \end{cases}\implies \sqrt[3]{5^3 x^2 (y^2)^3 y}\implies 5y^2\sqrt[3]{x^2 y}[/tex]
The mass of a baby boy at birth was 3.6kg. When he was 6 months old and 12 months old, his masses were 7.2 kg and 10.0 kg respectively. What was the percentage increase in his mass at 12 months old when compared with (a) his mass at birth (b) his mass at 6 months old
Answers
Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent
What is Percentage IncreasePercentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.
In this problem, the data given are;
Initial mass = 3.6kgmass at 6 months = 7.2kgmass at 12 months = 10kgThe percentage increase at 12 months old can be calculated as
percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100
percentage increase = [(10 - 3.6) / 3.6] * 100
percentage increase = 1.7 * 100
Percentage increase = 177.7%
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A standard cube is tossed. Find the probability.
P(greater than 1 or less than 2)
Answers
The probability of tossing a cube and getting a number greater than 1 or less than 2 is given by the equation P = 0
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of getting a number greater than 1 or less than 2 be represented as P = P ( greater than 1 or less than 2 )
Now , the equation will be
The standard cube is tossed
The total number of outcomes A = { 1 , 2 , 3 , 4 , 5 , 6 }
Now , the number of outcomes where it is greater than 1 be B
B = { 2 , 3 , 4 , 5 , 6 }
The number of outcomes where it is less than 2 be C
C = { 1 }
So , the number of possible outcomes where probability P is greater than 1 or less than 2 is 0
Therefore , the value of P is 0
Hence , the probability is 0
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if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answers
Answer:
[tex]\frac{1}{36}[/tex]
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is [tex](1/6)^2=\frac{1}{36}[/tex].
pls help ;( ill give brainliest and extra points or whatevs
Answers
Answer:
0.4
Step-by-step explanation:
Using the proportional method,
We take "x" as cups of red paint needed to make a shade of pink
Using cross multiplication
7x=3
x = [tex]\frac{3}{7}[/tex]
x = 0.4
One event A is _________________ of another event B if the probability of event A has occurred given event B is the same as the probability that A will occur with no knowledge of B.
Answers
One event A is dependent on another event B if the probability of event A has occurred given event B is the same as the probability that A will occur with no knowledge of B.
When Two events are to be Dependent the outcome of the first event influences the outcome of the second event, and also defines if the outcome of one event affects the outcome of the other.
When two events, A and B are dependent, the probability of occurrence of A and B is:
P(A and B) = P(A) · P(B|A)
P(A) represents the probability of happening an event A.
P(B) represents the probability of happening an event B.
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I’ll give Brainliest! : - )
Name/identify at least two pairs of congruent angles!
Explain how you know they’re congruent.
Answers
Triangle that is congruent to triangle CBE could be any of the following, for instance:BED, ABC, or FCE.
What are two sets of angles that are similar?The triangles are congruent when the respective sides between two pairs of corresponding angles are also congruent. Two triangles having a congruent side in the middle and two congruent angles on either side.
What is the congruent pair?In geometry, two shapes or objects are said to be congruent if they have the same dimensions, or if one is the mirror image of the other.
1. The angles formed by the same line FA and two parallel lines running between it, FCE and CAB, are congruent angles. For the same reason, FEC and EDB are congruent angles.
2. Based on the assertion, we will write the measure of each angle.
The line AD contains the triangles ABC, CBE, and EBD. If we add all of the triangles together to form the line, which has a measure of 180 degrees, the angle CBE is 72°.
3. Congruent triangles are those with all of their angles equal. Since all of the triangles are replicas of triangle ABC, they are all congruent because they all measure the same but are positioned differently. Therefore, a triangle that is congruent to triangle CBE could be any of the following, for instance:
BED, ABC, or FCE
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suppose that x and y are substitute goods. if the price of good x increases, we can expect:
Answers
If the price of good x increases, the demand curve for good Y to shift to the right.
Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.
Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o
When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.
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What is simple and complex fraction?
Answers
A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.
A simple fraction is a fraction made up of a numerator and denominator, such as 3/4. The numerator is the number on top of the fraction, and the denominator is the number on the bottom. The fraction represents a division of the numerator by the denominator. A complex fraction, on the other hand, is a fraction that has another fraction in either the numerator or denominator. For example, 2/3 + 1/4 is a complex fraction because it has 1/4 in the numerator. Complex fractions can be used to represent more complicated divisions, such as the division of one complex fraction by another. They can also be used to represent the sum of two or more fractions. Complex fractions can be simplified by reducing the fraction’s terms to their lowest common denominator, which can make them easier to work with.
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A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.
complex fraction
A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. In other words, there is at least one small fraction within the overall fraction.
Fraction
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
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Simplify: 2.4 x 10−4
0.00024
0.000024
−0.000024
−2.4000
Answers
Answer:
0.00024
Step-by-step explanation:
2.4 × 10^-42.4 × 0.00010.00024Write a while loop that prints a. All squares less than n. For example, if n is 100, print 0 1 4 9 16 25 36 49 64 81.
Answers
Answer:
n = input()
a = 0
while pow(a, 2) < n:
print(pow(a, 2))
a += 1
Step-by-step explanation:
Veda climbs up the mountain while Kaleb climbs down. The equation and the table represent the
elevations of the climbers in feet, y, as functions of time in minutes,.
LOOK AT PHOTO
Answers
Answer:
Veda: 10
Kaleb: 20
Step-by-step explanation:
Veda is seen in the equation:
y = 10x + 600
The 600 is telling us what elevation she started at and the 10 tells us her rate.
Kaleb:
We see that he went down 20 feet every second (570 - 550)
Answer: Hope This help:)
Step-by-step explanation:
In theory, prisoner classification occurs at which of the following stages: A. during transfer to another institution B. in preparation for release C, after an inmate encounters problems D. all of these
Answers
In theory, Option D. All of these stages occurs at prisoner classification.
Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.
Prisoner Classification ProcessPrisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:
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318.2 is what percent of 256?
Answers
Answer: 124.3%
318.2 is 124.3% of 256.
Hey there!
Answer:
318.2 is 124.296875% of 256.
Hope this helps!
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 7
and DC 11, what is the length of BD in simplest radical form?
Answers
The length of BD in simplest radical form is √77 units
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Hypotenuse AC = AD + DC = 7 + 11 = 18
Altitude = square root of the multiplication of AD and DC
√(7 x 11) = X
√77 = X
√77 can't be simplified further
Therefore, the length of BD is √77 units
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please help on #5. I’m so confused and don’t understand what it’s asking.
Answers
She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes.
what is statistics ?The average number of points received by students in one math class at the conclusion of the term, for instance, is an example of a statistic since it represents the population of all math classes, if we view that class as a sample. Because it integrates arithmetic ideas to create an analysis of a data set that may be used to comprehend an association in the data, statistics has earned a reputation for being an extremely challenging course, especially when studied in college (whoo that was a mouthful).
given
The unit rate for the ratio of 150 minutes to every 20 miles is obtained by dividing 150 by 20.
150÷20=7.5
Thus, the runner is covering one mile in 7.5 minutes. This unit rate can be multiplied by the number of miles:
6 miles in 7.5 minutes equals 45 minutes.
At this speed, she can complete 6 miles in 45 minutes.
If she runs 6 miles in 45 minutes, she will run 2 miles at the same pace in 453=15 minutes.
She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes. She is moving at a speed of 8 miles per hour since 60 minutes equal 1 hour.
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PLEASE HELP I WILL GIVE BRAINLIEST TO THE BEST ANSWER
Find the 50th term of the following arithmetic sequence.
3, 10, 17, 24, . . .
Answers
Answer:
a₅₀ = 346
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , then
a₅₀ = 3 + (49 × 7) = 3 + 343 = 346
Answer:
The 50th term of the sequence is 346.
Step-by-step explanation:
To find the 50th term of an arithmetic sequence, we need to know the common difference, which is the difference between each term, and the first term.
In this sequence, the common difference is 10 - 3 = 7. The first term is 3. To find the 50th term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. Plugging in the values we have, we get:
a_50 = 3 + (50 - 1)7
= 3 + 49 * 7
= 3 + 343
= 346
what is z=6 8z+9
please help me i am trying to do my homework but this is hard.
Answers
Answer:
the answer is z= 39/8 .
Antonio collected data on airline flights. The equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours. What is the meaning of the y-intercept?
A.the distance the plane has traveled after 1 hour
B.the distance the plane traveled per hour
C.the length of time the plane takes to reach its destination
D.the distance from the destination before the plane departs
Answers
1,754 represents the y-intercept that the distance the plane traveled per hour
How to obtain the equation for the line of best fit?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows: m is the slope, representing the rate of change of the output of the function relative to the input. b is the y-intercept, representing the value assumed by the function the input assumes a value of zero.
We are given that the equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours.
Therefore, M = 1,754 – 550h
Here we can see that 1,754 represents the y-intercept meaning that the distance the plane traveled per hour
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