Answers
57 yd² is area of triangle .
What is a triangle answer?
A triangle is a three-sided polygon in geometry with three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles.A triangle is a polygon with three sides. The three vertices that make up its three sides also create its three angles. Any triangle with three vertices is represented below by the symbols A B C: several triangular types: The sides of a scalene triangle are not all the same length.Area of triangle = 1/2 * b * h
= 1/2 * 19 * 6
= 19 * 3 ⇒ 57 yd²
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Related Questions
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Malik sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
40 visitors purchased no costume.
82 visitors purchased exactly one costume.
6 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.
Answers
The probability that the next person will purchase
more than one costume is 0.05
In the question, we have been given that in a popular online role-playing game, players can create detailed designs for their character's "costumes," or appearance.
Malik sets up a website where players can buy and sell these costumes online.
The information about the number of people who visited the website and the number of costumes purchased in a single day is:
40 visitors purchased no costume.
82 visitors purchased exactly one costume.
6 visitors purchased more than one costume.
We need to find the probability that the next person will purchase
more than one costume.
The total number of visitors the site :
40 + 82 + 6 = 128
The number of visitors purchased more than one costume = 6
Thus, the probability that the next person will purchase no costume would be,
P = 6/128
P = 0.046
P = 0.05
Therefore, the probability that the next person will purchase
more than one costume is 0.05
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Answer:
0.03
Step-by-step explanation:
Hi guys I need help and I’m not sure cs the answer I got was wrong
Answers
Based on the rate of change and the points, the equation of the line in Point-Slope form was y = 2/3x - 4.17
The equation of the line in point-slope form was y = -1/5x - 2.8
How to find the equation of a line?The equation of a line takes the form:
y = mx + b
m is the rate of change
b is the y-intercept
We need to find the y-intercept because we have the rate of change and y and x values:
-6.5 = 2/3(-3.5) + b
-6.5 = -2.33 + b
b = -6.5 + 2.33
b = -4.17
The equation is:
y = 2/3x - 4.17
The equation for the second line takes the same form. So the y-intercept should be found first:
- 3 = - 1/5(1) + b
b = -3 + 1/5
b = -2.8
The equation of the line is:
y = -1/5x - 2.8
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two students a and b are both registered for a certain course. assume that student a attends class 80 percent of the time, student b attends class 60 percent of the time, and the absences of the two students are independent. a. what is the probability that at least one of the two students will be in class on a given day? b. if at least one of the two students is in class on a given day, what is the probability that a is in class that day?
Answers
A) The probability that at least one of the two students will be in class on a given day is; 0.92
B) If at least one of the two students is in class on a given day, the probability that a is in class that day is; 0.8696
How to solve Conditional Probability?In probability theory, the occurrence of the events may depend on its relative events which are called dependent events while the events not dependent on their relative events are referred to as independent events. For dependent events, if conditional probabilities are required , we will make use of the Baye's Theorem and the total probability theorem sometimes.
We are given;
Probability that student A attends class = 80% = 0.8
Probability that student B attends class = 60% = 0.6
A) The probability that at least one of the two students will be in class on a given day is;
P = 1 - Probability that that neither show up to class on any given day.
P(A ∪ B) = 1 - P(A∼ ∩ B∼)
Where P(A∼ ∩ B∼) = (1 - 0.8) × (1 - 0.6)
P(A∼ ∩ B∼) = 0.08
Thus;
P(A ∪ B) = 1 - 0.08
P(A ∪ B) = 0.92
B) We want to find the probability that student A was in the class given that at least one of them was in the class.
This is obviously a case of conditional probability which will give us the formula;
P(A|A ∪ B) = P(A ∩ (A ∪ B))/P(A ∪ B)
= P(A)/P(A ∪ B)
= 0.8/0.92
= 0.8696
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What is the inverse of the function
f
(
x
)
=
−
1
2
(
x
+
3
)
f(x)=−
2
1
(x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis?
Answers
The inverse function of the function f(x) = 12(x+3) is f(x) = -2x - 3
A function's inverse is a function that offers us the actual value for which the desired function produces a specific outcome.
The function given is:
To find the inverse, we must perform the following procedures.
y takes the place of f(x);
y = -(x+3)/2
Change the x and y variables.
x = -(y+3)/2
Calculate y
2x = - (y + 3)
2x = -y - 3
y = -2x - 3
We get the following in inverted notation:
f(x)⁻¹ = -2x - 3
Thus the obtained inverse function is f(X) = -2x - 3
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The Reach French Club is raising money for a trip to Strasbourg. They have some money already, and will raise $700 per month for x months.
Their fundraising progress is modeled by the function $8000 = $1200 + $700x.
What is the meaning of 1200 in this equation?
A They started with $1200.They started with $1200.
B They will raise $1200 per month.They will raise $1200 per month.
C They will save money for 1200 months.They will save money for 1200 months.
D They have a goal of $1200 total.
Answers
Function : $8000 = $1200 + $700x
They will raise $700 per month for x months -> $700x is the amount of money they raise per month.
Since $8000 is the sum in the function, it is the goal.
Therefore, $1200 in this case means they started with $1200.
-5y+6x=40
3y-8x=-46
x=
y=
Answers
Answer:
[tex]x=5, y=-2[/tex]
Step-by-step explanation:
[tex]-5y+6x=40 \implies -15y+18x=120 \\ \\ 3y-8x=-46 \implies 15y-40x=-230 \\ \\ \therefore -22x=-110 \implies x=5 \\ \\ \therefore -5y+6(5)=40 \implies y=-2[/tex]
Julie cashed a paycheck and repaid her brother $10 that she borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck
Answers
Julie received an amount of $134.4 when she cashed her paycheck.
Let x be the amount of the paycheck.
She gave her brother ten dollars.
She then paid $30 for the car's petrol.
So she departed with an amount equal to x-40.
She now spent half of the remaining accounts on a new camping tent.
Spent camping = (x - 40)/2
Remaining = x - 40 - (x - 40)/2
She paid $29.45 for a pair of running shoes.
Therefore, remaining = x - 40 - (x - 40)/2 - 29.45
As per the question, she had $17.75 remaining.
So x - 40 - (x - 40)/2 - 29.45 = 17.75
Rearrange the terms and solve for x,
(x - 40)/2 = 47.2
x - 40 = 94.4
x = 134.4
Therefore, she received an amount of $134.4 when she cashed her paycheck.
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A bus can hold 20 people in 15 minutes how many people could ride this bus in 4 hours
Answers
a right isosceles triangle has legs 6 meters long each. find the length of the hypotenuse to the nearest tenth of a meter
Answers
Answer:
6√2, or about 8.5 meters
What is the slope of the line represented by y=x+9?
Answers
The slope is 1.
Explanation:
The equation of a line is written in "slope-intercept form as
A rental car company charges a $22 fee to rent a car plus $0.32 per mile. Matt has no more than $100 to spend on a rental car. How many miles can Matt drive the rental car without exceeding his budget?
(a) Write an inequality. Let m represent the number of miles the car is driven by Matt.
(b) Solve the inequality. Show your work.
(c) Graph the answer to the inequality on a number line.
(d)Check your solution. Show your work.
(e)State the solution in complete sentences.
Answers
The solutions to all the parts of the question are discussed below.
What is inequality?Inequality in mathematics is a relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given is a rental car company charges a $22 fee to rent a car plus $0.32 per mile.
Assume that [m] represent the number of miles the car is driven by Matt.
Part [A]
We can write the inequality as follows -
22 + 0.32m ≤ 100
Part [B]
The inequality is -
22 + 0.32m ≤ 100
0.32m ≤ 78
m ≤ 78/0.32
m ≤ 243.75
Part [C]
The graph is attached at the end.
Part [D]
22 + 0.32m ≤ 100
22 + 0.32 x 243.75 ≤ 100
22 + 78 ≤ 100
100 ≤ 100 [verified]
Part [E]
The number of miles that can be driven by Matt after renting the car will be 243.5 miles.
Therefore, the solutions to all the parts of the question are discussed above.
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so if i get a 60% on a math test and my current grade is an 80%, how much will my grade go down?
Answers
The new grade of the student will be 70% and the grade reduced by 10 percent.
PercentageThis is a rate, number, or amount in each hundred. Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
In the given question, we simply need to add the two percentage together and find the average of the value.
This can be done mathematically as
[tex]\frac{60+80}{2} = 70[/tex]
The average grade will be 70% and this shows that the grade dropped by
[tex]80\% - 70\% = 10\%[/tex]
The grade will go down by 10%.
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Examine the following table that represents some points on a line.
xy
-5
-3
1
3
-
5
ст
-
11
1575
LEL95
1
1
5
What is the slope-intercept form of the equation for this line?
Answers
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula,
y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula t.
Explain about the slope intercept ?Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.
The slope-intercept form is provided as y = mx + b, where m is the line's slope and b is the y-intercept. Using this form, we may determine the slope of a line. Here's an illustration. The slope of the line 6x - 3y = 5 should be determined. To convert this into the slope-intercept form, let's solve this for 'y'. The result is y = 2x – (5/3). We calculate the slope to be m = 2 by comparing this to the slope-intercept formula, y = mx + b.
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3 times the sum of a number and 12 is 56
Answers
Answer:
6.6666 or 7
Step-by-step explanation:
Write
–
1
.
5
y
=
4
.
5
x
–
9
in standard form.
Answers
juhfhfufyffuufzk Liznfndjdhs
I NEED HELP!!! Use a property of exponents to simplify 5^8/5^6 . Use 5 as the base.
Answers
The exponent's expression is 5².
Exponent expression:
An exponent refers to the number of times a number is multiplied by itself.
The property of exponents:
[tex]a^{m} / a^{n}[/tex] = [tex]a^{m-n}[/tex]
The expression is:
[tex]5^{8} / 5^{6}[/tex]
Using the property of exponents we have,
[tex]5^{8-6}[/tex]
= 5²
Therefore the exponent expression is 5².
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Giving Brainliest, Please help
Answers
According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:
(g o h)(n) = 2n³ +4n -2.
What does a function mean in the simplest terms?A function is described as a relationship between a group of inputs with one output each. A function is, to put it simply, a relationship between inputs in which each input is connected to exactly one output.
What best describes a function?A function is defined technically as a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.
According to the given data:g(n) = -n² -1 h(n) = -2n + 2
find (g o h)(n)
We can write it as:
g o h = g x h
= (-n² -1) x (-2n + 2)
= 2n³ + 2n +2n -2
= 2n³ +4n -2
According to the solving the value of the given function g(n) = -n² -1 h(n) = -2n + 2:
(g o h)(n) = 2n³ +4n -2.
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june says that there should be a decimal point in the quotient below after the 4. is she correct? use numbers sense to explain your answer.
Answers
The information that June says that there should be a decimal point in the quotient below after the 4 is incorrect.
How to illustrate the information?From the information given, it should be noted that it's important to find the division. This will be:
= 43.94 / 5.2
= 8.4.5
Based on the information, June says that there should be a decimal point. It should be noted that from the question, the decimal wasn't illustrated.
Therefore, June is incorrect. This is because the decimal is before 4.
The complete question is written below.
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Given that June says that there should be a decimal point in the quotient below after the 4. The number given is 43.94/5.2 = 845 is she correct?
Stanley bought 47.8 pounds of melon and 0.3 pounds of cherries. How much fruit did he buy in all?
Answers
Answer: 48.1
Step-by-step explanation:
Two right triangular gardens each have a shorter leg 20 feet. The length of the longer leg of one garden is twice the length of the longer leg of the other garden. The perimeter of the larger garden is 1.6 times the perimeter of the other garden. What is the approximate length of the longer leg of the smaller garden? Use a graphing calculator to help you determine the answer.
Answers
Answer:
about 24.38 feet
Step-by-step explanation:
Graphing window: [0, 30] by [-20, 160]
y1 = 20 + 2x + √(400 + 4x^2)
y2 = 1.6(20 + x + √(400 + x^2))
y1 = y2 when x = 24.3798.
So the length of the smaller garden's longer leg is about 24.38 feet.
Eight out of nine cats weigh less than 20 pounds. What is the decimal equivalent for
humber of cats weighing under 20 pounds?
Answers
Jim and Elaine were driving from Toronto to Ottawa, a distance of 400 kilometres. Jim drove 1⁄4 of the way. Then Elaine took over and drove 1⁄2 of the remaining distance. How far did they still have to travel?
(a) 100 km (b) 150 km (c) 200 km (d) 50 km (e) none of these
could you explain the solution?
Answers
B)150 km
Step-by-step explanation:
The total distance is 400km
and jim drove 1/4 of this distance so
400 x 1/4 = 100km
then subtract this from the total distance 400 - 100 = 300km
Elaine drove 1/2 of this remaining distance
300 x 1/2 = 150 km
Add this with the first result
100 + 150 = 250 km
this is the total disrance that they have treveled
how much do they have to go
400 - 250 = 150km meaning the answer is b
Use synthetic substitution to find f(−3) if f(x)=x^3+4x^2−5x+11 .
Answers
By using the synthetic substitution in the function f(x) = [tex]x^3+4x^2-5x+11[/tex], the value of f(-3) = 35
The function is
f(x) = [tex]x^3+4x^2-5x+11[/tex]
The function is defined as the relationship between the one variable and another variable. If one variable is dependent variable and another variable will be independent variable
To find the value of f(-3), first we have to substitute the value x = -3 in the given function
The function is
f(x) = [tex]x^3+4x^2-5x+11[/tex]
Substitute the value of x = -3
f(-3) = [tex](-3)^3+4(-3)^2-5(-3)+11[/tex]
= -27 + 36 + 15 + 11
= 35
Hence, by using the synthetic substitution in the function f(x) = [tex]x^3+4x^2-5x+11[/tex], the value of f(-3) = 35
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jae has $500 to spend on video games. the video games that cost $60 each. he also wants to get game accessories that cost $45. let x be the # of games he can buy, and let y be the # of accessories he can buy.
Answers
The two variable equation representation of the Jae expenditure of money while buying Video games and gaming accessories will be 60x + 45y = 500
It is given that,
The total money that Jae has = $500
The cost price of each video game = $60
And, the cost price for each game accessories = $45
We need to find an arithmetic equation representation which is known as equation in two variable
To do that, the question has represented both number of games and gaming accessories that Jae bought with x and y variables
It is given,
Total number of video games he an buy = x
Total number of gaming accessories he an buy = y
Now, the total expenditure that Jae will do in buying Video games and gaming accessories should not exceed $500 as this s the total money he had wit him
Therefore,
60x + 45y = 500
This is the two variable equation representation of the Jae expenditure of money while buying Video games and gaming accessories
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Write the ratios as reduced fractions.
(a) The ratio of "yes" to "no" answers is 5 to 4.
(b) The vote was affirmative by a 9 to 8 margin.
Answers
The ratios in their reduced fraction are 4:5 and 9:8 as they are in their simplest form.
Reduced fractions are what?a fraction whose lowest terms are obtained by multiplying the numerator by the highest common factor among its denominator and numerator. The reduced fraction of 8/12, for instance, is 2/3.
Divide the numerator and denominator of a fraction by the GCF to reduce it. (Writing a fraction in lowest terms is another name for this.) Sometimes, this is depicted as "cancelling" the common components.
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(a) if you selected repeated samples of size twelve from the u.s. population, what would be the mean number of individuals per sample who do not exercise regularly?
Answers
The mean number of individuals per sample who do not exercise regularly = 7
According to the survey 58% of the Americans does not exercise.
Hence probability of not exercising, p = 58/100 = 0.58
Define a random variable X denoting the number of people who does not exercise.
Then X follows the binomial distribution.
If p denotes the probability of success and if n is the sample size or number of trials, then
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ gives the probability of the random variable X.
Here, the sample size, n = 12
For a binomial distribution, mean, μ = np
Therefore, mean number of individuals per sample who do not exercise regularly = np
= 12 x 0.58
= 6.96
≈ 7
The question is not complete. Find the complete question below:
According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).
a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly?
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find the area of a circle
Answers
Answer:
452.16 ft²
Step-by-step explanation:
find radius
24 : 2 = 12 ft
find area (πr²)π12² =
3.14 * 12² =
3.14 * 144 =
452.16 ft²
Answer: 452.16 ft
The formula given is πr², where π is 3.14, and r is radius.
radius is half the diameter, so first step is 24/2, which is 12. r = 12.
Then we apply it to the formula.
πr² = 3.14 x 12²
3.14 x 144
area = 452.16 ft
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Here are 6 celebrities with some of the highest net worths (in millions of dollars) in a recent year: George Lucas (5500).
Steven Spielberg (3700), Oprah Winfrey (3200), Paul McCartney (1200), J. K. Rowling (1000), and Jerry Seinfeld (950)
Find the range, variance, and standard deviation for the sample data. What do the results tell us about the
population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?
Answers
Part a: Range = 4550
Part b: Variance = 287,034
Part c: Standard deviation = (287,034)².
What is termed as the standard deviation?The standard deviation is just a statistic that calculates as the square root of the variance and measures the distribution of a dataset relative to its mean. The standard deviation is determined as the square root of the variance by determining the deviation of each data point from the mean.For the given question;
The highest net worths (in millions of dollars) for 6 celebrities is shown.
George Lucas (5500).Steven Spielberg (3700), Oprah Winfrey (3200),Paul McCartney (1200), J. K. Rowling (1000), and Jerry Seinfeld (950)Part a: calculate the range;
Range = highest value - lowest value
Range = George Lucas (5500) - Jerry Seinfeld (950)
Range = 4550
Part b: Calculated the variance;
σ = ∑X²/n - μ² = ∑(X²- μ²)/n
σ = varianceμ = mean n = total frequencyFirst find the mean;
μ = ∑X/n
μ = (5500 + 3700 + 3200 + 1200 + 1000 950)/6
μ = 7775/3
σ = (5500² + 3700² + 3200² + 1200² + 1000² 950²)/6 - (97775/3)²
σ = 287034
Variance = 287,034
Part c: Calculated the standard deviation;
standard deviation = σ²
σ² = (287,034)²
Thus, the standard deviation is found as (287,034)².
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The table shows sets of ordered pairs that form a relation.
Does each set of ordered pairs represent a function?
Select Function or Not a Function for each set of ordered pairs.
Answers
The ordered pairs that are also functions are listed below.
1. {(2,4),(3,1),(0,5),(-1,-3)}
2. {(2,4),(-4,1),(0,4),(-3,-0)}
4.{(7,-3),(3,-7),(2,4),(4,2)}
The ordered pairs that are not functions are listed below.
3.{(-2,-3),(4,1),(4,4),(-3,2)}
A function is a relation between two sets of ordered pairs that describe that there should be only one output for each input, or that for every element in set A, there should be one and only one relation in set B.
A relation between two sets of ordered pairs can be considered a function when every X value is associated with only one Y value.
Here in the first, second, and fourth sets of ordered pairs
1. {(2,4),(3,1),(0,5),(-1,-3)}
2. {(2,4),(-4,1),(0,4),(-3,-0)}
4.{(7,-3),(3,-7),(2,4),(4,2)}
Hence, every value in X has only one single value in Y. Hence, all these relations can be considered functions.
In the third set, i.e.,
3.{(-2,-3),(4,1),(4,4),(-3,2)}
It can be seen that element 4 has two values as its output, which are 1 and 4 ((4,1),(4,4)). Hence, it cannot be considered a function.
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I’m very confused on how to solve this. Can someone please help me
Answers
Considering the average rate of change of the function, the matched pairs are given as follows:
1 - a.2 - b.3 - c.4 - d.What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given according to the following rule:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For the interval given by item 1, between -1 and 2, we have that:
f(-1) = -2.f(2) = -17.Hence the rate is:
r = (-17 - (-2))/(2 - (-1)) = -15/3 = -5.
Meaning that 1 matches with a.
For the interval given by item 2, between -1 and 0, we have that:
f(-1) = -2.f(0) = 3.Hence the rate is:
r = (3 - (-2))/(0 - (-1)) = 5/1 = 4.
Meaning that 2 matches with b.
For the interval given by item 3, between 1 and 2, we have that:
f(1) = -2.f(2) = -17.Hence the rate is:
r = (-17 - (-2))/(2 - 1) = -15/1 = -15.
Meaning that 3 matches with c.
For the interval given by item 4, between -2 and 0, we have that:
f(-2) = -17.f(0) = 3.Hence the rate is:
r = (3 - (-17))/(0 - (-2)) = 20/2 = 10.
Meaning that 4 matches with d.
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