A triangle with angle measures of 27 degrees, 90 degrees, and 63 degrees is classified as ?
Answers
Answer:
Right-angled Triangle
Explanation:
Since one the angles of the triangle is 90 degrees then the triangle will be a right-angle triangle because it has a one right angle in it.
Related Questions
A focus group of 12 people is to be chosen randomly from among 24 right-handed people and 5 left-handed people. In order to find the probability that 3 of the people chosen are right-handed, you should use
Answers
Let 1 and 2 mean that a person is right-handed or left-handed, respectively.
Consider the probability space as the different groups of 12 people that can be formed with the 29 total people. {(1,1,1,1,1,...1),(2,1,1,1,1,...,1),...}
We need to use the binomial distribution in order to find the answer.
Consider X to be the number of right-handed people in the group.
The probability of X=3 is then:
\(Pr(X=3)=\text{ binomial coefficien(}12,3\text{)}(\frac{24}{29})^3(1-\frac{24}{29})^{12-3}\)We used the formula
\(\begin{gathered} Pr(X=k)=\text{ binomial coefficient(n,k)}\cdot p^k(1-p)^{n-k} \\ \text{where } \\ k=3 \\ n=12 \\ p=\frac{24}{29} \end{gathered}\)Finally, we need to simplify the expression, as shown below
\(\Rightarrow P(X=3)=220(\frac{24}{29})^3(\frac{5}{29})^9=0.0000167\)This is the answer one obtains using the binomial distribution; nevertheless, the actual probability is equal to zero because it is not possible to form a group of 12 people that only contains 3 right-handed people as there are only 5 left-handed people (3+5=8).
Find the slope to the points (-3,5) and (2,-5)
Answers
Answer:
NEED graph
Step-by-step explanation:
If you need help
Is precipitation a function of month? Explain why or why not, in at least
two full sentences.
Answers
Answer:
I cannot see the question
Step-by-step explanation:
NO LINKS!!
f(x)= (x^2 + x - 12)/(x^2 + 6x + 9)
Discuss the behavior of f near any excluded x-values/
a. f(x) --> -∞ as x --> 3^+ and as x--> 4^-, f(x) --> ∞ as x --> 4^+ and as x --> 3^-
b. f(x) --> ∞ as x --> 4^+ and as x --> 4^-
c. f(x) --> -∞ as 4^+ and as x --> 4^-, f(x) --> ∞ as 3^+ and as x --> 3^-
d. f(x) --> -∞ as x --> 3^+ and as x --> 3^-, f(x) --> ∞ as x --> -4^+ and as x --> -4^-
e. f(x) --> -∞ as x --> -3^+ and as x --> -3^-
Answers
Answer:
e. f(x) --> -∞ as x --> -3^+ and as x --> -3^-
Step-by-step explanation:
You want to know the behavior of f(x)= (x^2 + x - 12)/(x^2 + 6x + 9) near any excluded x-values.
DomainThe function can be factored as ...
\(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}=\dfrac{(x+4)(x-3)}{(x+3)^2}\)
The excluded values are values of x where the denominator is zero. The only excluded value is x = -3. (eliminates all answer choices except E)
Asymptotic behaviorAt either side of x = -3, the sign of the numerator is negative and the sign of the denominator is positive. That makes f(3-) < 0 and f(3+) < 0.
f(x) will never approach +∞, but f(x) approaches -∞ as x nears -3 from either direction.
Answer:
\(\textsf{e)} \quad f(x) \rightarrow -\infty\;\;\textsf{as}\;\; x \rightarrow -3^+ \;\;\textsf{and as}\;\;x \rightarrow -3^-\)
Step-by-step explanation:
Given function:
\(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}\)
Factor the numerator:
\(\implies x^2+x-12\)
\(\implies x^2+4x-3x-12\)
\(\implies x(x+4)-3(x+4)\)
\(\implies (x-3)(x+4)\)
Factor the denominator:
\(\implies x^2+6x+9\)
\(\implies x^2+3x+3x+9\)
\(\implies x(x+3)+3(x+3)\)
\(\implies (x+3)(x+3)\)
\(\implies (x+3)^2\)
Therefore, the rational function is:
\(f(x)=\dfrac{(x-3)(x+4)}{(x+3)^2}\)
As the degree of the numerator is equal to the degree of the denominator, there is a horizontal asymptote at y = 1.
A vertical asymptote occurs at the x-value(s) that make the denominator of a rational function zero.
\(\implies (x+3)^2=0\)
\(\implies x+3=0\)
\(\implies x=-3\)
Therefore, there is a vertical asymptote at x = -3.
As there is a vertical asymptote at x = -3, the excluded x-value is x = -3.
As x approaches x = -3 from both sides, the numerator of the rational function approaches -6 and the denominator approaches a very small positive number. Therefore, the function approaches a very large negative number.
Therefore, the end behaviour of the function as it approaches the excluded value is:
\(f(x) \rightarrow -\infty\;\;\textsf{as}\;\; x \rightarrow -3^+ \;\;\textsf{and as}\;\;x \rightarrow -3^-\)Nikhil and Mae work at the same company. Nikhil has been at the company 4 time+s as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Answers
Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to Apply a System of Equations?To solve the system of equations, let's substitute the value of x from the first equation into the second equation:
x = 4y
8 + 2y = 4y
Simplifying the equation, we get:
8 = 2y
Dividing both sides by 2:
4 = y
Now, substitute the value of y back into the first equation to find x:
x = 4y
x = 4(4)
x = 16
Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.
The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
Learn more about System of Equations on:
https://brainly.com/question/13729904
#SPJ1
[3x (4.6÷2)] +14.1 =
Answers
Answer:
21
Step-by-step explanation:
PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
First, we want to deal with the parenthesis within the parenthesis.
(4.6/2) = 2.3
Rewrite it into the equation.
[3 * 2.3] + 14.1 = ?
Now, do the work in the parenthesis again.
[6.9] + 14.1 = ?
There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.
6.9 + 14.1 = 21
? = 21
The answer is 21.
i need help with my homework PLEASE CHECK WORK WHEN FINISHED
Answers
In the queston, we must choose the option that would be the best to
Fundamental theorem of calculus
\(g(s)=\int\limits^s_6 {(t-t^4)^6} \, dt\)
Answers
Answer:
\(\displaystyle g'(s) = (s-s^4)^6\)
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
\(\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)\)
Where a is some constant.
We can let:
\(\displaystyle g(t) = (t-t^4)^6\)
By substitution:
\(\displaystyle g(s) = \int_6^s g(t)\, dt\)
Taking the derivative of both sides results in:
\(\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]\)
Hence, by the Fundamental Theorem:
\(\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}\)
Use the graph to find the indicated function value. y = f(x). Find f(4)
Answers
Looking at the graph, we can see that there is a point on the graph that lies on the vertical line x = 4 and has a corresponding y-value of 3. This point is the point (4, 3). So, the value of f(4) is 3.
What is function?In mathematics, a function is a relation between two sets of objects in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range).
To find f(4) from the given graph, we need to locate the point on the graph that corresponds to x = 4 and read off the corresponding value of y.
The graph shows that there is a point (4, 3) on the graph of the function y = f(x). This means that when x = 4, the value of y (or f(x)) is 3. Therefore, f(4) = 3.
In general, to evaluate a function at a given point, we need to substitute that point's value for the independent variable (in this case, x) in the function expression and simplify the resulting expression.
However, in this case, we are given the value of x and simply need to read off the value of y from the graph.
To know more about expression visit:
https://brainly.com/question/28637270
#SPJ1
The complete question is given below.
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answers
Answer: is A
Step-by-step explanation:
Alan buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount he pays.
Answers
Answer: $12.60
Since a pound of roast costs $2.25, we will just multiply this to the weight of roast Alan bought,
\(2.25\frac{\text{ dollars}}{\text{ pound}}\times5.6\text{ pounds}=12.6\text{ dollars}\)Therefore, Alan paid $12.60
simplify 12 - 8 (-8) x 4=?
please help thanks in advance
Answers
Answer:
268
Step-by-step explanation:
Hope this helps! ;-)
Answer:
A 100ft fence is used to enclose a rectengular plot that has an area of 456 suare feet fine the equation to dtermine the length (x) of the plot
Step-by-step explanation:
bro help me bots keep awnswering my questions adding files to them
Find the length of the line joining A (3,5) and B (1,3)
Answers
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
A town population is 50,000 in 2018. The population has been growing at a rate of 3.7% each year. What is the estimated population of 2025?
Answers
Answer:
The formula for exponential growth is: Total = Starting value(1 + rate)^time
2018 to 2025 is 7 years:
Step-by-step explanation:
Total = 50,000(1+0.037)^7
Total = 50,000(1.037)^7
Total = 64,479 -(Answer)
Write the equation of the line passing through the given point that is
parallel to the given line
16. y = 2/3 x - 2: (-3, 4)
17. -2x+ 7y = 14; (-7, -3)
18. 3x - 4y = 16; (8, -5)
19. 4x + y = 7: (2,4)
Answers
The equation of the line passing through the given point that is
parallel to the given lines are;
16) y = ²/₃x + 6
17) y = ²/₇x - 1
18) y = ³/₄x - 11
19) y = -4x + 12
What is the equation of the Line?
16) We are given the equation of a line as;
y = ²/₃x - 2
The general equation of a line in slope intercept form is ;
y = mx + c
where;
m is slope
c is y-intercept
Thus, equation passing through (-3, 4) is;
y - 4 = ²/₃(x - (-3))
y - 4 = ²/₃x + 2
y = ²/₃x + 6
17) We are given the equation of a line as;
-2x + 7y = 14
7y = 2x + 14
y = ²/₇x + 2
Thus, equation passing through (-7, -3) is;
y - (-3) = ²/₇(x - (-7))
y + 3 = ²/₇x + 2
y = ²/₇x - 1
18) We are given the equation of a line as;
3x - 4y = 16
4y = 3x - 16
y = ³/₄x - 4
Thus, equation passing through (8, -5) is;
y - (-5) = ³/₄(x - 8)
y + 5 = ³/₄x - 6
y = ³/₄x - 11
19) We are given the equation of a line as;
4x + y = 7
y = -4x + 7
Thus, equation passing through (2, 4) is;
y - 4 = -4(x - 2)
y - 4 = -4x + 8
y = -4x + 12
Read more about Equation of Line at; https://brainly.com/question/13763238
#SPJ1
Evaluate the expression when =c24 and =d25. +dc4
Answers
The expression given is 3c + 5d and the expression when c = 24 and d =25 will be 197.
How to illustrate the expression?It should be noted that an expression is simply used to illustrate the relationship between the variables.
In this case, the expression given is 3c + 5d.
Therefore, the expression given is 3c + 5d and the expression when c = 24 and d =25 will be:
= 3c + 5d
= 3(24) + 5(25)
= 72 + 125
= 197
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question:
The expression given is 3c + 5d. Evaluate the expression when c = 24 and d =25.
Which one, please?!
Quickly!
Answers
Answer:
c) FJ and GH
Step-by-step explanation:
So the answer is choice C) FJ and GH
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
please solve all i will mark brainliest and 15 points.
Answers
Answer:
Hope that will help you get
Is the ordered pair
(8, 3)
a solution to the equation 2x + y = 14?
Answers
Answer:
35.7t
Step-by-step explanation:
i took the quiz so i now its rhit at least i think
Determine the rate of this problem -> A 18-kg bag of cherries for $2.65 =_____per kg
Answers
Answer:
$0.14 per kg
Step-by-step explanation:
A 18-kg bag of cherries for $2.65
for 1 kg
\( \frac{2.65}{18} = 0.14 \\ \)
so, the answer is $0.14
I neeeeeeed help. Pleaseeee helpppp. I dont get the last question like what am i supposed to do?
Answers
Answer:
0.1429
Step-by-step explanation:
The formula for the average rate of change is \(\frac{f(b)-f(a)}{b-a}\). a = 0, b = 7, f(a) = 2, and f(b) = 3, We plus the numbers into the formula and get 0.1429 as our answer.
6th grade math ! Help me please :))
Answers
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
I need help with this please help me
Answers
Answer: 18
Step-by-step explanation:
\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.
Using the segment addition postulate, \(GK=9\).
Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.
Using the segment addition postulate again, \(GM=9+9=18\).
2nd time asking please helpp!!
Answers
Answer:
exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1 1/5
Step-by-step explanation:
Answer:
6/5, 1.2, or 1 1/5
Assessment Practice
13. Draw lines to show how to divide this
rectangle into 3 equal pieces. Then select
the fraction that represents 1 of
the pieces. 3.1.1.1.3.FR.1.3
152
A
B
2
3
Topic 10 Lesson 10-1
6
1
8
Remember that a unit
fraction represents one
of the equal parts.
Copyright © Savvas Learning Company LLC. AS
Answers
Based on the information, we can infer that the fraction represented by this graph is 1/3.
What fraction does the graph represent?To identify the fraction that the graph represents, we must take into account that the table is divided into three equal fractions and one of them is colored in another color. According to the above, we can infer that we have 3 boxes available and one of them is colored. This would be represented as a fraction like this:
1/3So the correct option would be 1/3 (option B).
Note: This question is incomplete. Here is the complete information.
Attached Image
Learn more about fractions in: https://brainly.com/question/10354322
#SPJ1
louis goal is to use 462 gallons of water or less per day at his business his water bill showed that 8,324 gallons were used in a 18 day period did loui meet his goal?
Answers
The true statement is that Loui did not meet his goal
How to determine if he meets his goalThe given parameters are:
Goal = 462 gallons per day (or less)
Days = 18 days
Amount = 8324 gallons
Start by calculating the rate of water used in this period
\(Rate = Amount/Days\)
So, we have:
\(Rate = 8324/18\)
Divide
\(Rate = 462.4\)
462.4 is greater than 462
Hence, Loui did not meet his goal
Read more about rates at:
https://brainly.com/question/8728504
What should be subtracted from thrice the rational number -5/3 to get 1/2?
Answers
Answer:
-11/2
Step-by-step explanation:
According to the information given, you can write the following:
3(-5/3)-x=1/2, where x is the number that should be subtracted from thrice the rational number -5/3 to get 1/2.
Then, you can solve for x:
-15/3-x=1/2
-5-x=1/2
x=-5-1/2
x=-11/2
According to this, the answer is that -11/2 is what should be subtracted from thrice the rational number -5/3 to get 1/2.
Suppose the radius of a cylinder changes, but its volume stays the same. How must the height of the cylinder change?
1. If the radius increases then height must increase
2. If radius decreases then height must decrease
3. The height doesn’t change
4. If the radius increases, height decreases
Answers
If the radius increases, height decreases, Therefore option no 4 is correct
If the radius of a cylinder changes, however its volume remains the same, then the height of the cylinder have to change.
Mainly, if the radius increases, then the height must decrease & if the radius decreases then the height must to increase. this is because the volume of a cylinder is given by means of the formulation:
\(V = \pi r^2h\)
In which V is the volume, r is the radius &h is the height. If we keep the volume constant, and increase the radius, then we ought to lower the height in order to make amends for the increased extent.
Similarly, if we decrease the radius, then we must increase the height to catch up on the reduced volume.
Therefore, the appropriate answer is:
If the radius increases, height decreases
Learn more about volume of cylinder formula:-
https://brainly.com/question/24224789
#SPJ1
which ordered pair could ba added to this function
Answers
Answer:
(1,7)
Step-by-step explanation:
in order for something to be a function, each x value can only have one y value (vertical line test). because all of the other answers use x values that were previously assigned a y value, (1,7) is the only one that works.