What is the relationship between base height and area?
Area in term of height- This method works well with right-angled triangles or in situations where the base as well as height are known:
Area = 1/2 x base x height
Describe the relationship between base height and area?TRIANGLE REGION: Triangles' areas can be determined in three simple ways. Each method works best with a specific kind of triangle.
These techniques:
A triangle's area in terms of its base and heightHeron-populated areaEquilateral triangle's surface areaArea calculated by trigonometry.Lets assume a triangle.
The base of this triangle is assumed to be c.The height that corresponds to the base is perpendicular to the base and touches the triangle's apex. We have a straightforward formula to calculate the triangle's area:Area is equal to half of a base times a height.
Area = 1/2 x base x height.
To know more about the area of triangle, here
https://brainly.com/question/17335144
#SPJ4
Can anyone help me answer this question?
Let A, B, C e sets. Which of the following properties is the cumulative law?
a. A ∪ B = B ∪ A
b. A ∩ B = B ∩ A
c. A ∩ B = B ∪ A
d. (A ∪ B) ∪ C = A ∪ (B ∪ C)
The property that represents the commutative law of sets is given as follows:
d. (A ∪ B) ∪ C = A ∪ (B ∪ C)
What is the commutative law of sets?The cumulative law of sets states that the order in which the union operation is made does not change the resulting set of these multiple union operations.
The symbol that represents the union operation is given as follows:
∪.
Hence statement d is the correct statement of the commutative law of sets, as:
In (A ∪ B) ∪ C, the union of A and B is first obtained, and then united with set C.In A ∪ (B ∪ C), the union of B and C is first obtained, and then united with set A.For both cases, the resulting set is the same.
More can be learned about the commutative property of sets at https://brainly.com/question/737255
#SPJ1
Bisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 15 centimeters and a height of 12 centimeters.
If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for π and round to the nearest square centimeter.
The Answer Is 1,837 cm
How do you find the horizontal and vertical?
To find horizontal line,its equation is y=b where b is constant.Horizontal line is parallel to x-axis of the coordinate plane.To find vertical ,its equation is x=b where b is constant.Vertical line is parallel to y-axis.
How do we find horizontal line?A horizontal line is a line extending from left to right and right to left.The slope of horizontal line is always zero.Horizontal lines are always parallel to x-axis.The y-intercepts of a horizontal line y=b is the point (0,b).
How do we find vertical lines?A vertical line is a line extending from up to down and downward to upward.Its never moves left to right.Vertical lines are always parallel to y-axis.The equation of a vertical line is x=a and x=-a where x is the x-coordinate of ant point on the line and a is the point where he line crosses the x-intercepts.
Hence we can find horizontal and vertical lines on the graph or paper easily.
To learn more about horizontal and vertical lines visit;
https://brainly.com/question/29325828
#SPJ4
Willka can cover 13. 5\,\text{m}^213. 5m 2 13, point, 5, start text, m, end text, squared with 3\,\text{l}3l3, start text, l, end text of paint. Complete the table using equivalent ratios.
Completing the table using equivalent ratios Willka can cover 4.5 m² of the area with 1 - liter paint.
Given :
What are equivalent ratios?
Equivalent ratios are the ratios that express same relation or numbers that are equivalent.
so area covered for 1 paint
13.5 / 3 = 4.5
4.5 for 1 paint
for 10 paint :
Area covered = 4.5 * 10
= 45
Table :
Area covered ( m^2 ) paint ( L )
13.5 3
4.5 1
45 10
Learn more about the ratios here :
https://brainly.com/question/13419413
#SPJ4
If a polygon has four right angles, then it is either a square or a rectangle. Which is a counterexample for the conditional?.
If the polygon has four right angles , then it is a square when all four sides are equal and a rectangle when the opposite sides are equal .
The Polygon is defined as closed object that is made of line segments rather than curves on a 2 - D plane .
A square is defined as a polygon in which all the angles are right angles and pair of opposite sides are equal .
A rectangle is defined as polygon that have all the angles as right angles and all four sides are equal .
From above definitions , we can say that ,
A polygon that has four right angles , is a square when all four sides are equal and it is a rectangle when pair of opposite sides are equal .
Learn more about Polygon here
https://brainly.com/question/18273788
#SPJ4
solve this equation using zero product property and show the work
(x-5)(x+7)=0
According to question,
Given data,
We know that;
Zero product property,
ab =0
either a or b or both must be zero.
(x-5) (x+7) = 0
Where a=(x-5)
b= (x+7)
then,
x-5=0(both side equation adding +5)
+5=+5
So,
x = 5
therefore,
x+7=0(both side equation substrate -7)
-7=-7
So,
x=7
to know more about zero product, visit
https://brainly.com/question/29966620
#SPJ1
What degree is a 3 to 1 slope?
Answer:
Slope
Angle (degrees) Gradient Grade (%)
2 to 1 = 3.493 to 1 = 5.244 to 1 = 6.99Therefore, the correct answer is 5.24
select the statement regarding the correlation coefficient (r) that is true. a.) a correlation coefficient of 1 implies a weak correlation between two variables. b.) the correlation coefficient describes the direction of the association between two variables. c.) the sign of the correlation coefficient might change when we combine two subgroups of data. d.) correlation coefficient cannot be calculated for all scatterplots.
The statement regarding the correlation coefficient (r) that is true is b) "the correlation coefficient describes the direction of the association between two variables."
The correlation coefficient is a measure of the strength and direction of the relationship between two variables. A correlation coefficient of 1 implies a strong positive correlation between the variables, meaning that as one variable increases, the other variable also tends to increase.
A correlation coefficient of -1 implies a strong negative correlation between the variables, meaning that as one variable increases, the other variable tends to decrease. A correlation coefficient of 0 implies no correlation between the variables. The sign of the correlation coefficient (positive or negative) indicates the direction of the association between the variables, while the magnitude of the coefficient (closer to 1 or -1) indicates the strength of the association.
Learn more about correlation coefficient here:
https://brainly.com/question/4219149
#SPJ4
what is the slope between (7,-4) and (2,-4)
Answer:
0
Step-by-step explanation:
Rise over run.
Difference between y is 0.
Difference between x is 5.
0/5 = 0.
Answer:
m = 0
Step-by-step explanation:
Slope is rise/run or (y2 - y1) / (x2 - x1)
We see the y stay the same, and the x decrease by 5, so the slope is
m = 0/5
What is the difference between transform and reform?
Students are pushed by reform mathematics curricula to make sense of novel mathematical concepts through investigations and projects, frequently in practical settings.
What is a transform in math?A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.
Students are pushed by reform mathematics curricula to make sense of novel mathematical concepts through investigations and projects, frequently in practical settings. Writing and speaking clearly, cooperating in groups, and drawing connections between ideas and representations are all stressed in reform textbooks.
Translation, rotation, reflection, and expansion are the four different types of transformation. Each change must be carried out, and you must be able to tell which transformations have been carried out.
To learn more about transform refer to :
https://brainly.com/question/2689696
#SPJ4
How do I calculate how much paint I need?
According to good rule of thumb is 250 to 400 square feet per gallon for each coat, and 170 to 200 square feet per gallon for two coats.
It might be challenging to calculate or estimate the precise amount of paint that you will need when painting your home.
Every paint has a spread rate that controls how many square feet may be covered each gallon. A good rule of thumb is 250 to 400 square feet per gallon for each coat, and 170 to 200 square feet per gallon for two coats. Choosing the proper quantity of paint for steel is a tough matter because high-quality paint is expensive and you don't want to overbuy. To avoid overbuying paint, we advise simply purchasing 80% of the projected amount at first and the remaining 20% after you are nearly completed.
To learn more about rule of thumb link is here
brainly.com/question/9220387
#SPJ4
4. Volume of a cone is (1/3)3.14r²h. Solve for h.
The required solution would be h = 3Vr²/3.14 for h, where V is the volume of a cone.
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of the cone (V ) = 1/3πhr²
We have been given that the volume of a cone is (1/3)3.14r²h
We have to determine the solution for h
As per the given question, we have
⇒ V = (1/3)3.14r²h
Multiply by 3 into the above equation,
⇒ 3V = 3.14r²h
Divided by 3.14 into both sides
⇒ 3V/3.14 = r²h
⇒ h = 3Vr²/3.14
Therefore, the required solution would be h = 3Vr²/3.14.
Learn more about the volume of the cone here:
brainly.com/question/1578538
#SPJ1
What are the roots of the quadratic equation 4x 2 − 7x 2 0?
The roots of the quadratic equation 4x2 − 7x + 0 are -7/4 and 0.
What is quadrtic ic equation?A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. Quadratic equations are used to solve problems involving areas, lengths, and other geometric figures, as well as to find unknown values. Such equations are often used in calculus and physics.
To find the roots, you can use the quadratic formula, which is x = -b ± √b2 - 4ac/2a. In this case, a = 4, b = -7, and c = 0, so the roots are -7/4 and 0.
Another way to find the roots is to use the factoring method. To factor 4x2 − 7x + 0, you can factor out 4x and then group the terms to get 4x(x − 7) + 0. Then you can set each factor equal to zero to get x = 0 and x = 7. Therefore, the roots of the equation 4x2 − 7x + 0 are -7/4 and 0.
To know more about quadratic equation click-
https://brainly.com/question/1214333
#SPJ4
What is the median of 8 5 7 9 11 6?
For the given observation 5,6,7,8,9,11 the Median is 7.5
The median is one of the metrics of central tendency. The middle value in a group of numbers is known as the median. It divides a given data sample into the higher half and the lower half. At least half of the observations fall below the median and at least half of the observations fall above the median.
If a data collection contains an even number of observations, the median can be determined as follows:
Sort the information either by ascending or by descending.
Identify the (n/2)nd and [(n/2) + 1] th observations if there are an even number of observations (let's say n).
The median of the provided data is equal to the average of the top two observations (as determined in step 2).
Here n = 6, So [6/2 + (6/2)+1}/2
=> Median = 7.5.
Learn more about Median:
brainly.com/question/28060453
#SPJ4
What is the slope to a line perpendicular to 3x y 1?
The slope to a line perpendicular to y = 3x + 1 is -1/3.
Define slope.The ratio of how much y grows as x grows by a certain amount is called the slope of a line. A line's slope, or the amount by which y rises as x rises, indicates how steep a line is. Nowhere on the line has a different slope; it is constant. We frequently seek to quantify the steepness in mathematics. The difference between slope A and slopes B and C is obvious. While slope A is just four units high, they both stand at seven. It would therefore seem that steepness and height are related.
Given
Equation
y = 3x + 1
Using slope intercept from,
y = mx + b
m = slope
m = 3
Slope which is perpendicular
= -1/m
= -1/3
To learn more about slope, visit:
https://brainly.com/question/3605446
#SPJ4
There are 6 seniors on student council. Two of them will be chosen to go to
an all-district meeting. How
many ways are there to choose the students who
will go to the meeting?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the students who go.
By using the property of combination, it can be calculated that -
This is a problem of combination.
There are 15 ways to choose the students who will go to the meeting
What is combination?
Combination is the process of selection some objects from a group of items where the order of the selection do not matter
This is a problem of combination
Number of seniors = 6
Number of students will go to the all district meeting = 2
Number of ways to choose the students who will go to the meeting =
[tex]{6 \choose 2}[/tex]
= [tex]\frac{6!}{(6 - 2)! \times 2!}[/tex]
= 15
To learn more about combination, refer to the link-
https://brainly.com/question/11732255
#SPJ1
IQ scores are collected from a sample of 36 students
at a large university. The scores are summarized in
the histogram below.
Which of the following statements is true of the mean
and median?
O The mean is equal to the median IQ.
O The mean is less than the median IQ
O The mean is greater than the median IQ.
O It cannot be determined because we cannot tell the
exact values of the IQ scores in the sample.
Answer: The mean is less than the median IQ
Step-by-step explanation:
When a distribution is skewed left (there is an obvious tail going in the left direction, which is true in this case), then the mean is drawn down because it is not resistant to any outliers, or unusual data points.
The median, however, is resistant to outliers and will not move as much.
Therefore, the mean will be less than the median.
The relationship between the mean and median of a data set is determined by whether the data is symmetrically distributed, positively skewed, or negatively skewed. However, without a visual representation or specific values, we cannot definitively compare the mean and median of the IQ scores.
Explanation:In order to determine the relationship between the mean and the median of a data set, we need to know the nature of its distribution. If the data is symmetrically distributed, the mean and the median will be equal. If the data is positively skewed (has a long right tail), the mean will be larger than the median. If the data is negatively skewed (has a long left tail), the mean will be less than the median.
However, in the absence of the actual histogram in your question, the correct answer would be 'It cannot be determined because we cannot tell the exact values of the IQ scores in the sample.' This is because without a visual representation or specific values, we cannot determine the distribution's skewness, and by extension, cannot compare the mean and median.
Learn more about Mean and Median here:https://brainly.com/question/13006297
#SPJ2
0.25 of what number
is 40?
Answer: 10
Step-by-step explanation:
Because 0.25 or 25%
We take 40 times 0.25 = 10
Which equation is the inverse of 2 x 2 )= 8 7 y?
[tex]y=2[/tex] ± [tex]\sqrt{28+4x}[/tex] is the equation that equals 2(x - 2)2 = 8(7 + y).
Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other. In most cases, a number's inverse refers to its reciprocal, or x - 1 = 1 / x. When a number is combined with its reciprocal, or inverse, the result is 1, or 1.
Considering the equation:
[tex]2(x-2)^2=8(7+y)[/tex]
Change the x and y variables.
[tex]2(y-2)^2=8(7+x)[/tex]
In terms of x, solve for y.
We have two sides, therefore divide them by two.
[tex](y-2)^2=4(7+x)[/tex]
Using the distribution property, [tex]a.(b+c)=a.b+a.c[/tex]
[tex](y-2)^2=28+4x[/tex]
Square-rooting both sides yields:
[tex]y-2=[/tex]±[tex]\sqrt{28+4x}[/tex]
our two sides plus two;
[tex]y=2[/tex]±[tex]\sqrt{28+4x}[/tex]
As a result, equation [tex]y=2[/tex]±[tex]\sqrt{28+4x}[/tex] is the opposite of [tex]2(x-2)^2=8(7+y)[/tex]
The complete question is:-
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
Options:
–2(x – 2)^2 = –8(7 + y)
y= 1/4 x^2 -x -6
y= -2 +/- sqrt of 28+4x
y= 2 +/- sqrt of 28+4x
To learn more about the inverse, refer:-
https://brainly.com/question/13715269
#SPJ4
The square root of a negative number is supposed to not exist/be an imaginary number.
Am I right? Is this operation right?
Answer: You are correct, because negative number don't have real square roots
Step-by-step explanation:
suppose the length of time (in minutes) going through customs at u.s. airports with global entry (goes) is normally distributed with a population mean of 40 minutes and a population standard deviation of 12 minutes. what is the approximate wait time for the fastest 4% of passengers?
The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
What is Standard Deviation?
It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.
The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.
The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.
To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.
Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.
So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.
To know more about Standard Deviation visit,
https://brainly.com/question/475676
#SPJ4
How do you make 5 with 4 2s?
The equation to form 5 with 4 2s is 2 + 2+ (2/2).
Explain the method of BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.
B-Brackets, O-Orders (powers/exponents as well as roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.The acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, is also known as BODMAS in some areas.Brackets, then order (or "of" in some curricula), next multiplication and division, finally addition and subtraction is an acronym for the order of operations in mathematics, with B coming first and AS coming last.The formation of 5 with 4 2s is -
= 2 + 2+ (2/2)
= 2 + 2 + 1
= 5
Thus, the expression to form 5 with 4 2s is 2 + 2+ (2/2).
To know more about the BODMAS, here
https://brainly.com/question/29626868
#SPJ4
If the interior angle of triangle are 3x,4x,and5x find the ize of angle of the traingle. Alo fing the difference between larget and malleat angle
Answer:
45, 60, 75
Difference between the largest and smallest angles
75 - 40 = 35
Step-by-step explanation:
First solve for x. The sum of the interior angles of a triangle is 180
3x + 4x + 5x =180 Combine like terms
12x + 180 Divide both sides by 12
[tex]\frac{12x}{12}[/tex] = [tex]\frac{180}{12}[/tex]
x = 15
3x = 3(15) = 45
4x = 4(14) = 60
5x = 5(15) = 75
Step-by-step explanation:
please, burn this into your brain for life :
the sum of all angles in a triangle is always (yes, no exceptions) 180°.
so,
3x + 4x + 5x = 180
12x = 180
x = 180/12 = 15
3x = 3×15 = 45°
4x = 4×15 = 60°
5x = 5×15 = 75°
the difference between largest and smallest angle is therefore
75 - 45 = 30°
what’s the equation when the points are (3,-6) and (5,-5)
Answer:0.5x - y -7.5 = 0
Step-by-step explanation:
What is the relationship between numerator and denominator?
The denominator of a fraction represents the number of equal parts in a whole, while the numerator represents the number of parts considered.
What is a fraction?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator.In a simple fraction, they are both integers. A complex fraction has a fraction in either the denominator or the numerator. The denominator of a proper fraction is less than the numerator. A numerator is the total number of parts.A denominator is the lowest number in a fraction that represents the number of equal parts into which an item is divided. It is the fraction divisor.A fraction as p/q can be thought of as p parts, which is the numerator of a whole object, divided into q equal parts which is denominator.To learn more about fraction refer to :
https://brainly.com/question/17220365
#SPJ1
Given an angle t that corresponds to the point (- 3 squared/2, 1/2) on the unit circle show
below, find cos(t) and sin(t).
Answer:
Step-by-step explanation:
Your question asks what is -[tex]3^{2}[/tex] / 2 but, since it's on the Unit circle, I know you meant - [tex]\sqrt{3}[/tex] /2 Also, it's one of those known angles on the unit circle.
note that the angles can all be put in the form of [tex]\sqrt{x}[/tex] / 2 , where x = 0,1,2,3,4 , for the five special points on the unit circle.
as the attached pic shows, Cos(t) for the given point would be 180-150°= 30 and sin(t) would be 90 - 30 = 60 °
it's not easy to understand how I got those angles, just ask if you don't get it. :)
The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many two-point and three-point shots did the Cruisers score?
The number of two-points and three points shot The Cruisers scored are 24 and 19 points respectively.
How to find the number of two and three points made?The Cruisers scored a total of 105 points in a basketball game. They also had a total of 43 baskets, of which some were two-point shots and some of were three-point shots.
Therefore, the number of two-points and three-points the cruiser scored is as follows:
x = number of two-points
y = number of three-points
So;
x + y = 43 -------1
Also;
2x + 3y = 105 -----2
Multiplying equation(1) by 2
2x + 2y = 86
2x + 3y = 105
Subtract equation(i) from equation(ii)
y = 19
To find x:
x = 43 - 19
x = 24
Therefore,
number of two-points = 24
number of three-points = 19
learn more about equations here: brainly.com/question/18649329
#SPJ1
Can a 2 year old count?
Therefore , the 2 year old children can able to count to 1 to 100 counting by making them learn.
By counting, what do you mean?The counting-on method can be used by mathematicians to add numbers. With this approach, a student first adds the larger number,
variable then "counts on" with the other addends to arrive at the sum. If the number sentence is 4 + 3, the student will understand that 4 is the greater number and will add three additional numbers, such as the integers "4... 5, 6, 7."
Here,
Every child is different in how they grow and learn, yet many
Children as young as two years old may count past ten and learn their numbers from 1 to 100.
They could be ready to try numbering in fives or using other skip counting strategies (5, 10, 15, 20, and so on).
As soon as you can, begin teaching your child how to recognise
numbers.
As a result, by making the toddlers study, two-year-olds can count to one hundred.
To know more about counting , visit
brainly.com/question/29269537
#SPJ4
Graphing root functions
Really need help with the 4 questions