The probability that the area of the triangle is at most 20 is 5/9
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. Thus area of triangle XYZ is
1/2×12×6=36
Now if the area of the triangle is at most 20 then the required probability is = 20/36
=5/9
Hence, The probability that the area of the triangle is at most 20 is 5/9
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which of the following best describes the graph below
Option A) In the graph for each value of x there is exactly one value of y
So the function is a One to One function.
What is a function?A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain. For all values of a and b, f = (a,b)|
A function f is said to be injective if it maps different items in its domain to other elements; for example, f = f implies x1 = x2. Alternatively, every element of the function's codomain is at most one of its domain's elements.
If some function output value corresponds to more than one input value, the function is said to be many-to-one (sometimes written as "many-one"). If the domain of f contains two different values a and b such that f(a)=f, the function f is many-to-one in symbols (b).
In the graph for each value of x there is exactly one value of y
So the function is a One to One function.
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Please help will mark Brainly
"Mark as brainiest". Click on the option to mark it the best answer.
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Brainly, at its most simple, is a peer-to-peer network of questions and answers. The idea is to help students with homework questions by using others who may have already answered that question.
To be clear, this isn't a set of answers laid out or a group of professionals giving answers. Rather, this is an open forum-style space in which students can post a question and, hopefully, get an answer from the community of others in education.
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You're creating plans for a building project, and you use a T-square to create a set of angles from lines that are perpendicular, meaning the lines are at right angles to each other, or ______ degrees? a. 225, b. 45, c. 180, d. 90
Answer:
d. [tex]90^{\circ}[/tex]
Step-by-step explanation:
This is the definition of perpendicularity.
(3,4) m=0
Formula
Y-y=m(x-x1)
Answer:
[tex]y1 = 4 \\ x1 = 3[/tex]
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - 4 = 0(x - 3)[/tex]
[tex]y - 4 = 0[/tex]
[tex]y = 4[/tex]
(2,1)
H
-8-6-4-2
(6,-3)
948
6+Q
4
y
·N··
2+
-2-
-6-
-8
P
2
4 6
R
8
What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X
Answer: free allah long live
Step-by-step explanation:
46564
GEOMETRY PLEASE HELP. Can you see triangles in this baseball player’s posture? Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find. For example, you might look for certain triangles formed in golf or baseball swings, or you could look for the triangles formed by players on a soccer field.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.
Here,
Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.
The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.
Many sports use geometric forms to help delineate the precise areas of play.
View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.
Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
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Solve the following simultaneous equations by elimination
A) x+y=2
x-y-1=0
B) x+y=5
x-y=7
C) x+y=17
x-y=1
D) 5x+y=29
5x-y=11
Answer:
0
8
0
9
0
9
9
098098809667906432
Can any1 help with this pls
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Two equations that have the same solution as the given equation are;
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
What is Multiplication property of equality?Both sides of an equation will remain equal, when both sides are
multiplied by the same amount.
The given equation: 2.3·p - 10.1 = 6.5·p - 4 - 0.01·p
Simplifying the above equation by collecting like terms gives;
2.3·p - 10.1 = 6.5·p - 0.01·p - 4 = 6.49·p - 4
2.3·p - 10.1 = 6.49·p - 4
Multiplying both sides of the original equation by 100 gives
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
230·p - 1010 = 650·p - 400 - p
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In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?
well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?
a) The portion of the garden is made up of beef steak tomatoes is 8.
b) he Equation for beef steak tomatoes is 4/5 x (portion of tomatoes).
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Portion of Garden have Tomatoes = 2/3
and, 4/5 of the tomato plants are beefsteak tomatoes.
a) The total section in model is 15.
so, Tomatoes in the garden = 2/3 x 15
= 10
and, the portion of the garden is made up of beef steak tomatoes
= 10 x 4/5
= 8 portion.
b) The Equation for beef steak tomatoes
= 4/5 x (portion of tomatoes)
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A boat will pass the Colby bridge and the wave bridge on the dell river. Rename each other the two bridge opening times. there are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time and find another common denominator. Explain how you found your answers.
The bridge opening times when there are 60 minutes in an hour will be 45/60 and 10/60.
How to illustrate the fraction?From the information, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge.
From the table, Colby is on the 3/4 hour. This will be:
= 3/4 × 60
= 45
Also, Wave Bridge will be:
= 1/6 × 60
= 10
Therefore, it's 45/60 and 10/60 because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.
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Complete question
On the Dell River, a boat will pass the Colby drawbridge and then the Wave drawbridge and then the Wave drawbridge. Rename each of the two drawbridge opening times. There are 60 minutes in an hour, so use 60 as a common denominator. Then, rename each opening time using another common denominator
Bridge name:
1. Asher Cross
2. Colby
3. Rainbow
4. Red Bank
5. Wave
Time of Opening:
1. On the hour
2. On the 3/4 hour
3. On the 2/3 hour
4. On the 1/4 hour
5. On the 1/6 hour
Is 1 1/3 an irrational number?
A tree that is 30 tall casts a 40 shadow. What is the distance from the top of the tree to the end of the shadow?
The distance from the top of the tree of height 30 tall to the end of the shadow is 50.
What is distance?Distance is the length between two point.
To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.
Note: The tree and the shadow form a right angle.
Formula:
a = √(b²+c²)................. Equation 1Where:
a = Distance of from the top of the tree to the end of the shadowb = Height of the treec = Length of the shadowFrom the question,
Given:
b = 30 c = 40Susbtitute these values into equation 1
a = √(30²+40²)a = √(900+1600)a = √2500a = 50Hence, the distance from the top of the tree to the end of the shadow is 50.
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A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.
Express the monthly cost C in terms of minutes of call time ?
What will the monthly cost be if you make 280 minutes of calls this month?
Answer: $32.75
Step-by-step explanation:
If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.
I hope this answer helped you. :)
Answer:
$32.75
Step-by-step explanation:
10.35 + (0.08×280)
the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean
A 90% confidence interval for the population mean is; CI = (163.355, 166.655)
How to find the confidence Interval?The formula to find the confidence level here is;
CI = x' ± z(s/√n)
Where;
CI is confidence level
z-score at confidence level
x' is sample mean
s is standard deviation
n is sample size
We are given;
Sample mean; x' = 165
Sample size; n = 20
standard deviation; s = 4.5
z at CL of 90% = 1.645
Thus;
CI = 165 ± 1.645(4.5/√20)
CI = 165 ± 1.655
CI = (163.355, 166.655)
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Write an equation in standard form passing through the given point and parallel to the given line: (-1,-1) y = - x - 5
A: x - y = -2
B: x + y = 0
C: x - y = 0
D: x + y = -2
Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.
What is standard form?The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.
A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.
To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first
We know that parallel lines have same slope, so
y - y1 = m(x - x1)
y -(-1) = -1(x -(-1)
y + 1 = -x - 1
y = -x - 2
y + x = -2
Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.
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- Reason quantitatively. Since all of the information concerning
the dimensions of the flag and its parts are given in terms of the
height, Martha decides to begin her scale drawing by choosing
13 cm for the height. Explain why 13 cm is a good choice for
the height.
It's a good idea to utilize the 13 cm measurement that Martha used for her scale illustration. This is because it would be simpler to measure the flag's stripes. The American flag has 13 stripes, thus each one is 1 centimeter wide.
What size does a flag have?Flags can be as big as 20 feet by 38 feet, although most are between 3 feet by 5 feet and 5 feet by 8 feet in size. The standard size for an American flag flown outside a home is 3 x 5.
Why are all flags square?A flag's rectangular design assures that even a moderate breeze would cause it to move, making it readily apparent to everyone else. Additionally, the shape is efficient in terms of production costs, according to a number of flag designers.
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What is the value of f(x) = –x2 + 3 when x = 1?
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900
x + y = 320
10x + 7y = 320
x + y = 2900
Brainiest for correct answer
A system of equations to model this scenario is given as follows -
x + y = 320
7x + 10y = 2900
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c{m} - slope {c} - intercept along the y - axis.
Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.
Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -
x + y = 320
7x + 10y = 2900
Therefore, a system of equations to model this scenario is
x + y = 320
7x + 10y = 2900
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We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."
Answer:
Step-by-step explanation:
The average transaction time of this location reduced to 371 seconds.
Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}
The domain and range of the function on the table are the ones in options B and C.
Domain: {-3, 1, 5, 7}
Range: {2, 4, 5, 9}
How to find the domain and range of the function?For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.
On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.
Then the domain is just the set of the values of x on the table:
Domain: {-3, 1, 5, 7}
And the range is the set of the values of y on the table:
Range: {2, 4, 5, 9}
Then the correct options are C and B.
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The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden
Answer:
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.
Step-by-step explanation:
Simplify the difference. (2w2 – 8w – 8) – (5w2 + 3w – 5)
Answer:
-3w2-11w-3
Step-by-step explanation:
take w2 and w as variables. you can substitute it as w2=y and w=X then expand brackets
2y-8x-8-5y-3x+5
note that the signed changed at the second part because it was expanded with the minus sign which is basically like -1, so it changes the signs
then you collect like terms:
2y-5y-8x-3x-8+5= -3y-11x-3
now put substitute back w2=y and w=X
-3w2-11w-3
if it won't be a problem solving with w2 and w, then you skip the substitution part and solve the same
Solve the equation for X,
2 (2) + x = 4
A. x=8
B. x=0
C. x= -4
D. x=4
Answer: x=0
Step-by-step explanation:
2(2)=4
4+x=4
-4 on both sides
so x=0
Answer:
B) x = 0
Step-by-step explanation:
We will get our equation in here first. Our equation is:
2 * 2 + x = 4
We simplify the multiplication giving us:
4 + x = 4
Finally, we subtract 4 from both sides to find the value of x. We get:
x = 0.
So the correct answer is B) x = 0.
Hope this helped!
Find the sum and express it in simplest form.
(-7n² - 8n - 8) + (-n² + 9n + 9)
008
Clear all
Enter the correct answer.
+ BO
DONE
The simplest form of the given expression is (- 8n² +n +1)
What is simplification?Simplification is the process of making simple an expression, terms or equations so as to easy for solving or evaluating.
There are some steps for simplification such as removing parenthesis, collecting like terms, addition or subtraction of like terms and so on.
How to find the sum and express in simplest form?We are given an expression, ( -7n² - 8n -8) + (- n² + 9n +9)
In order to simplify, we first remove the parenthesis and get
- 7n² - 8n -8 - n² + 9n +9
in the next we will collect like terms
- 7n² - n² -8n +9n - 8 +9
We now add or subtract like terms
- 8n² + n+1
this is the simplest form of the given expression.
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A bicycle shop is selling $500.00 bikes at 10% off. If the sales tax is 13% how much will the
bike cost?
A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!
Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours
Answer:d. 120x+60=780
Step-by-step explanation:
120 cost per x hours
Flat Rental cost 60
120x+60=780
-60 as the flat rate which won’t change based on time.
120x=720
Divided by a rate of 120 per hour
x=6 hours
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X. What is the measure of each angle?
The measure of each angle X and Y are x = 32 degrees and y = 58 degrees
How to determine the measure of each angleFrom the question, we have the following parameters that can be used in our computation:
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X.The above statements mean that
x + y = 90
y = 2x - 6
Substitute the known values in the above equation, so, we have the following representation
x + 2x - 6 = 90
Evaluate the like terms
3x = 96
Divide both sides by 3
x = 32
Substitute x = 32 in the equation y = 2x - 6
y = 2 * 32 - 6
Evaluate the equation
y = 58
Hence, the measure of the angle y is 58 degrees
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Write as an radical expression
U 2/5
Answer:
Step-by-step explanation:
An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.
But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.
It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.