The Angles and sides of the outline correspond to the angles and sides of the original triangle is done as below.
What are corresponding sides and angles?Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes.
Given:
For Corresponding Angle
The same two angle pairs are touched by corresponding sides. When the sides are equivalent, you can multiply each side by the same value to move from one triangle to another. The corresponding sides of the triangles in the similar triangles diagram are the same colour.
Form Corresponding Side
If two triangles are similar and have sides A, B, C and a, b, c, respectively, then the pair of corresponding sides are proportional,
i.e., A : a = B : b = C : c.
Learn more about corresponding sides and angles here:
https://brainly.com/question/28911587
#SPJ1
Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2
Answer:
$42.00
Step-by-step explanation:
Interest = principle x rate x time
Interest = 300 x .07 x 2
Interest = 42
Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall main entrance. Which set of survey results is most likely to show biased results for people who buy food at the mall
The set of survey results that is most likely to show biased results for people who buy food at the mall is Lewie's survey.
Lewie's survey samples only every fifth person leaving the mall's main entrance, which means that it only captures a small percentage of the total number of mall visitors. Additionally, by only surveying people leaving the main entrance, Lewie's survey may not capture people who enter and exit the mall through other entrances or exits and may also miss those who don't leave the mall after buying food. As a result, Lewie's survey may not accurately represent the total number of people who buy food at the mall and may lead to biased results.
On the other hand, Kelvin's survey samples every other person leaving the food area. This method captures a larger percentage of the total number of people who buy food at the mall and is more likely to provide a more accurate representation of the total number of people who buy food at the mall.
To learn more about the percentage, visit:
brainly.com/question/29014288
#SPJ4
Answer:
A. Kelvin’s because he surveyed people leaving an area where food is sold
Step-by-step explanation:
A company is loading recliners and sofas onto a trailer that has a volume of about 3800 cubic feet. Each recliner takes up about 40 cubic feet and each sofa takes up about 80 cubic feet. The company wants the shipment to have at least 30 recliners and more than 25 sofas. Identify and interpret the ordered pair in the solution region.
The ordered pair that would be needed by the company for shipment can be loaded in the trailer as the pair will take only 3200ft³ of the volume of the trailer which is 3800 cubic feet.
How to calculate the ordered pair for shipment?The total volume of the trailer = 3800 cubic feet
The volume of each recliner = 40 cubic feet
The volume of each sofa = 80 cubic feet
The number of recliner needed = 30
The number of sofas needed = 25
The volume that the sofa will cover = 25 × 80 = 2000
The volume that the recliner will cover= 30 × 40 = 1200
Therefore the total volume both will take = 3200 cubic feet.
Learn more about volume here:
https://brainly.com/question/27710307
#SPJ1
Solve each system of inequalities. SHOW WORK.
[tex]\left \{ {{0.7x-2.1\ \textless \ 0} \atop {\frac{2}{3} x\ \textgreater \ 1}} \right.[/tex]
Answer:
Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.
Missing: [tex 0.7x-2.1\ \textless \atop \textgreater tex]
Which ordered pairs are the answer
Answer:
(4,14) (8,28))
Step-by-step explanation:
3.5(4) = 14
3.5(8) = 28
Graph the line that passes through the points (1, -2) and (-1,-6) and
determine the equation of the line.
Answer:
y = 2x - 4
Step-by-step explanation:
The equation is y = mx + b
m = The slope
b = y-intercept
To find the slope, we look for the rise/run or (y2 - y1) / (x2 - x1)
The slope here is 2, and the y-intercept is located at (0,-4), so the equation is
y = 2x - 4
1. The accuracy of a pool thermometer is the positive difference between the temperature
reading on the thermometer t and the actual temperature of the pool p. Write two absolute
value expressions equivalent to the accuracy of a pool thermometer.
The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and |p - t|
How to write absolute value expressions for the accuracy of the thermometer?Absolute value means to remove any negative sign in front of a number and to think of the number as positive. This is indicated by the vertical lines | |
Any expression that contain the vertical lines is called absolute
value expression
Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.
We can write:
accuracy = | t - p|
OR
accuracy = | p - t|
Learn more about absolute value expression on:
brainly.com/question/24368848
#SPJ1
Answer:
It-pI
Step-by-step explanation:
What is 42a - 16 ?????
Answer:
2 (21a−8)
Step-by-step explanation:
Answer:
2(21a - 8)
Step-by-step explanation:
42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)
Can anyone help please
The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.
Which four types of parabolas are there?Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.
What distinguishes a hyperbola from a parabola?A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.
To know more about hyperbola visit:-
brainly.com/question/28989785
#SPJ1
. If a population of college student ages is skewed right, then this indicates: a. there are a greater number of older students b. the modal age is greater than the median age c. as the age of a student increases, the frequency of the student ages increases. d. there are more younger students within the population e. not enough information
The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.
A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.
Option a. there are a greater number of older students is also correct, but it is not complete.
Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.
Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.
Option e. not enough information is not correct as the question is providing enough information to make a conclusion.
To learn more about the skewed right population, visit:
brainly.com/question/3907939
#SPJ4
aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. write an inequality that describes the situation
The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.
Let apple = a
Let orange = o
Therefore, the inequality will be:
3a + 2o ≤ 24.
Learn more about inequalities on:
brainly.com/question/24372553
#SPJ1
expand the polynomial (x+1)(x+2)(y-3)
Answer: X^2y + 3xy + 2y -3x^2 -9x -6
explanation
1. Foil (x+2)(x+1)
X^2 +2x + x + 2
2. Simplify
X^2 + 3x + 2
3. Distribute x^2 + 3x +2 (y-3)
X^2y + 3xy + 2y -3x^2 -9x -6
Find the missing values in the ratio table then write the equivalent ratios in the order they appear in the table 3/4 1/3 2/3 3 1
The missing values in the ratio table are given as follows:
8 meters -> 1/3 minutes.4 meters -> 1/6 minutes.6 meters -> 1/4 minutes.10 meters -> 5/12 minutes.Hence the equivalent ratios are given as follows:
8 : (1/3).4 : (1/6).6 : (1/4).10 : (5/12).What is a proportional relationship?A proportional relationship is a linear function with an intercept of zero modeled as follows:
y = kx.
In which k is the constant of proportionality.
The input and output variables for this problem are given as follows:
Input: time.Output: meters.Hence the constant of proportionality is obtained as follows:
k = 8/(1/3) = 24.
Hence the equation is given as follows:
y = 24x.
The time for 4 meters is given as follows:
4 = 24x
x = 4/24
x = 1/6.
The distance for 1/4 minutes is given as follows:
y = 24 x 1/4
y = 6 meters.
The distance for 5/12 minutes is given as follows:
y = 24 x 5/12
y = 120/12
y = 10 meters.
The equivalent ratios for each case are given as follows:
y = y : x.
Missing InformationThe problem is given by the image presented at the end of the answer.
More can be learned about proportional relationships at brainly.com/question/10424180
#SPJ1
The spinner is spun 75 times. What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary. Outcome A B C D Frequency 20 11 14 30 B or C
The experimental probability of spinning of B or C is 1/3.
In the given question, the spinner is spun 75 times.
We have to find the experimental probability of spinning of B or C.
The given data is:
Outcome A B C D
Frequency 20 11 14 30
Total frequency = 20 + 11 + 14 + 30
Total frequency = 75
The probability of spinning B = Frequency of B/Total Frequency
The probability of spinning B = 11/75
The probability of spinning C = Frequency of C/Total Frequency
The probability of spinning C = 14/75
Now the experimental probability of spinning of B or C;
P(B or C) = P(B) + P(C)
P(B or C) = 11/75 + 14/75
P(B or C) = (11 + 14)/75
P(B or C) = 25/75
P(B or C) = 1/3
Hence, the experimental probability of spinning of B or C is 1/3.
To learn more about experimental probability link is here
brainly.com/question/15729871
#SPJ4
What is the relationship between points and lines?
Answer:
Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.
Step-by-step explanation:
HELP!! Find the value of…
Answer:
It C man.
Step-by-step explanation:
You don't need this
What is the first step to do in using substitution method?
Answer: Solve one equation for one of the variables.
Step-by-step explanation:
What does it mean to solve an equation by substitution?
The value of a variable from one equation is substituted in the other equation when using the substitution method.
The graphic approach and the algebraic method are the two main categories into which simultaneous linear equations can be solved. One of the categories of the algebraic approach is the substitution method. The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Steps for Substitution method:
Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variableTherefore in the Substitution method, The value of a variable from one equation is substituted in the other equation.
To learn more about the Substitution method, visit: https://brainly.com/question/14619835
#SPJ4
What is linear vs log?
Linear refers to a straight line when plotted on a graph, while logarithmic refers to a curve that follows the logarithmic function. Linear relationships are those where the rate of change is constant. Logarithmic relationships are those where the rate of change increases or decreases as the value of the independent variable increases.
Linear relationships are those where the rate of change is constant no matter how the independent variable changes. In this type of relationship, the y-value increases or decreases at a constant rate as the x-value increases. For example, if a graph shows a linear relationship, the data points will form a straight line when plotted on a graph. Logarithmic relationships are those where the rate of change increases or decreases as the independent variable increases. In this type of relationship, the y-value increases or decreases more quickly as the x-value increases. This can be seen when plotting the data on a graph as a curved line. An example of this type of relationship is the exponential growth of a population as the population increases.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
The function f(x) = StartRoot negative x EndRoot is shown on the graph. Which statement is correct?
The statement that is correct about the behavior of the given graph is; D:
The range of the function is all real numbers greater than or equal to 0.
How to interpret function graphs?The graph of the function is as shown in attached diagram.
The function is;
y = √-x
1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;
x ∈ (-∞, 0]
2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that the range of this function is; y ∈ [0, -∞)
From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.
Looking at the options, only option D can be said to be correct about the behavior of the given graph.
Read more about Function Graphs at; https://brainly.com/question/24335034
#SPJ1
The missing options are;
The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.
Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. Use elimination to solve the system of linear equations and determine how much one package of tulips bulbs costs, x, and how much one bag of daffodil bulbs costs, y. Enter your answer as an ordered pair (x,y).
When Ava purchased six packages of tulip bulbs and twelve bags of daffodil bulbs, the price per tulip bulb was $7 and the price each daffodil bulb was $13.
what is linear equations ?The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of system of equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
Let x be the price of a single tulip bag.
Y should equal the price of one bag of daffodil bulbs.
Grace = 14x + 12y = 254
ava = 6x + 12y = 198
- 8x = - 56
x = - 56/-8
x = 7.
Equation 1 becomes
6* 7 + 12y = 198
42 + 12y = 198 when x = 7 is substituted.
12y = 198 - 42
12y = 156
y = 156/12
y = 13
When Ava purchased six packages of tulip bulbs and twelve bags of daffodil bulbs, the price per tulip bulb was $7 and the price each daffodil bulb was $13.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
After getting new carpet installed, Antonio noticed that the door would not close. He decided to trim 1/16 of an inch off the bottom of the door to see if it would help. After doing this three more times, the door finally closed. If the door was originally 84 5/8 inches tall, how tall was it after he trimmed it?
After he trimmed it, it was [tex]84\frac{3}{8}[/tex] inches tall. This can be solved using expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.The expression becomes:
= [tex]84\frac{5}{8} - [{4 * (\frac{1}{16})][/tex]
= [tex]84\frac{5}{8} - [\frac{1}{4}][/tex]
= [tex]84\frac{3}{8}[/tex]
To know more about expressions refer to:
brainly.com/question/1859113
#SPJ4
When x²+(1/x)=3 find x⁴-2x³-x²-2x+1=
(without using calculator)
so for given expression x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
we can start by squaring the equation x²+(1/x)=3
so we have x⁴ + 2x² + (1/x)² = 9
x⁴ + 2x² + 1 = 9x²
x⁴ - 7x² + 1 = 0
Now we can factor it
(x²-1)(x²-1) = 0
so x² = 1
now we can substitute x² = 1 in the equation x⁴-2x³-x²-2x+1
x⁴-2x³-x²-2x+1 = x⁴-2x³-1-2x+1
= x⁴-2x³-2x-1
= (x⁴-2x³) - (2x+1)
= x⁴-2x³-2x-1
= (x²-x)² - (2x+1)
= (x-1)² - (2x+1)
so x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
To learn more about algebra visit:
brainly.com/question/24875240
#SPJ1
40% of Damien’s marbles are blue Damien has 30 marbles how many of the marbles are not blue
Answer:
12
Explanation:
40/100 = 0.4
0.4 * 30 = 12
I hope this helps you!
Coconut palm trees can reach heights of up to 100 feet. Suppose you are lying on the beach at a distance of 74 feet from a 58-ft tall palm tree. What is the angle of elevation from your position to the top of the tree?
The angle of elevation of the coconut palm tree from me is [tex]38\x^{o}[/tex].
What is angle of elevation ?The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
the angle of elevation is defined as "the angle created between the horizontal line and the line of sight when an observer looks upwards." It is always higher than the observer and at a larger angle. When a person stares downward, they create an angle of depression, which is the opposite of an elevation angle. When studying heights and distances in trigonometry, it is crucial to understand the angle of elevation and depression. Angles, horizontal lines, and line of sight are the three main terms related to the angle of elevation.
Height of the palm tree is 58 ft
Distance at which I am standing from the tree is 74 ft
As per sum
[tex]tan \theta = \frac{58}{74}[/tex]
[tex]\theta = tan\x^{-1} (\frac{58}{74})[/tex]
[tex]\theta\\[/tex] = [tex]38\x^{o}[/tex]
To learn more about Height and Distance refer to :
https://brainly.com/question/7537247
#SPJ4
A horse walks 4224 feet in 12 minutes at this rate how many yards does a horse walk in twelve minutes.
Answer:
1408 yards
Step-by-step explanation:
A horse walks 4224 feet in 12 minutes, so to find out how many yards the horse walks in twelve minutes, we need to convert 4224 feet to yards. Since there are 3 feet in a yard, we can divide 4224 by 3 to find the number of yards:
4224 feet / 3 feet/yard = 1408 yards
So a horse walks 1408 yards in 12 minutes.
What is the example of quadrant 2?
The example of Quadrant 2 is (-1, 1)
The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.
Here we have to give the example for quadrant 2.
In order to find the example, first we have to know the definition and properties of quadrant 2.
The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.
Therefore, the resulting coordinate for Quadrant 2 is written as,
=> (-1, 1)
To know more about quadrant here.
https://brainly.com/question/14061041
#SPJ4
Find the volume of a cube if its area of four walls is 16 cm square.
[tex] \longmapsto \: side = \frac{16}{4} = 4 \\ \longmapsto volume = 4 {}^{3} = 64[/tex]
In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place
The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.
What is Place Value?Every digit in a number has it's own place value. Place value is the position of a digit in a number.
For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.
Given the number 33,291.
Place value of 1 = 1
Place value of 9 = 90
Place value of 2 = 200
Place value of 3 in thousands place = 3000
Place value of 3 in ten thousands place = 30,000 = 3000 × 10
That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.
Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.
Learn more about Place Values here :
https://brainly.com/question/27734142
#SPJ1
Find three additional points on the parabola that has vertex (1, -2) and passes through (0,– 5). Select all that apply. A. (2,-3) B. (-1,-14) C. (3,2) D. (2,-5) E. (3,-14) F. (-2,7)
Answer: The vertex form of a parabola is:
y = a(x - h)^2 + k
Where (h, k) is the vertex of the parabola.
In this case, we are given that the vertex is (1, -2), so the equation of the parabola will be:
y = a(x - 1)^2 - 2
We know that the parabola passes through (0, -5), and it is given by the equation.
-5 = a(0 - 1)^2 - 2
so,
a = 1/3
The final equation of the parabola is :
y = 1/3(x-1)^2 - 2
so, the points that are on the parabola are:
A. (2,-3)
B. (-1,-14) is not true,
y = 1/3 (-1 -1)^2 - 2 = -1/3 + 2 = 1/3 ≠ -14
C. (3,2)
D. (2,-5)
E. (3,-14) is not true
y = 1/3 (3-1)^2 - 2 = -4/3 ≠ -14
F. (-2,7) is not true
y = 1/3 (-2-1)^2 - 2 = -7/3 + 2 = -1/3 ≠ 7
Therefore A, C and D are the correct answers.
Step-by-step explanation: