Find the area of the polygon with the given vertices NL-2.1), P3.1). Q(3.-1), R=2. -1
Answers
6
1) Plotting the figure
We have:
We have a quadrilateral
2)
So we have a rectangle FC = 1 and DC =2 So its area is 2 square unts
On the left side, we have a triangle whose height is BF 4 and its base is 2
So the area of the triangle is b*h/2 =4*2/2 = 4
So the total area is 6
Related Questions
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
Answers
Lilia asked 12 students how many courses they have taken so far at her college. Here is a least of answers.
23,16,5,3,22,10,18,26,1,9,3,14
What is the percentage of these students who have taken a fewer than 11 courses?
Answers
Answer:
50%
Step-by-step explanation:
6/12 students have taken fewer than 11 courses.
50% of students have taken fewer than 11 courses.
6/12=50/100
Charles can type 675 words in 9 minutes. How many words can he type per minute?
Group of answer choices
6075 words per minute
75 words per minute
86 words per minute
75 minutes per word
Answers
Answer:
675 devided bye 9 = 75
Step-by-step explanation:
Answer: 75 words per minute
Step-by-step explanation:
We can set this problem up similar to a ratio
675:9
Knowing that this is for 9 minutes, dividing by 9 will give you the amount per one minute
675/9 9/9
75:1 or 75 words per minute
The graphed line shown below is y = 5 x minus 10. On a coordinate plane, a line goes through (2, 0) and (3, 5). Which equation, when graphed with the given equation, will form a system that has no solution? y = negative 5 x + 10 y = 5 (x + 2) y = 5 (x minus 2) y = negative 5 x minus 10
Answers
Answer:
y = 5 (x + 2)
Step-by-step explanation:
Equations with a different x-coefficient will graph as lines that intersect the given one, so will form a system with one solution.
The equation with the same slope and y-intercept (y = 5(x -2)) will graph as the same line, so will form a system with infinite solutions.
The line with the same slope and a different y-intercept will form a system with no solutions:
y = 5 (x + 2)
Answer:
B
Step-by-step explanation:
got it on edge
The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2. When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time.
Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times?
a. A larger sample size was used.
b. The 100 tosses were controlled better.
c. The expected probability changed when the cube was rolled 100 times.
d. The thrower considered only the even rolls, and disregarded the odd rolls.
Answers
Answer:
Step-by-step explanation:
The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answers
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-5y=-5
Answers
Answer: y = 6/5 x + 1
The slope intercept form of a linear equation is:
y = mx + b
where m is the slope and b is the y-intercept value.
According to the question we need the solve this equation for y:
6x – 5y = -5
This can be written as:
-6x + 5y = 5
-6x + 6x + 5y = +6x + 5
0 + 5y = 6x + 5
5y = 6x + 5
5y / 5 = (6x + 5) / 5
y = 6/5 x + 1
Learn more about slope intercept form here
https://brainly.com/question/1884491
https://brainly.com/question/6202710?referrer=searchResults
#SPJ9
Select all lengths that are equal to 3 yards 16 inches.
Answers
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
for more such questions on lengths
https://brainly.com/question/28322552
#SPJ8
Which ordered pairs is a solution to −5x + 3y > 12?
(3, 9)
(-5, 5)
(3, -6)
(-2, -5)
(2, 8)
(-6, 0)
Answers
Answer :-
Given inequality ,
-5x +3y > 12 3y > 5x + 12 y > 5/3x + 12/3y > 5/3x + 4From the options ,
When x is 3 and y = 9
y >1* 5 + 4y > 5 +4 9> 9 ( Not possible )When x is -5 y is 5
y > 5/3*-5 + 4y > -8.3 + 4 5 > -3.7 ( Possible )When x is 3 y is -6
y > 5 + 4 -6 > 9 ( Not possible )When x is -2 y is -5
y > -3.33 + 4 -5 > -0.67 ( Possible )When x is 2 y is 8
y > 3.33 + 4 8 > 7.77 ( possible )When x is -6 y is 0
y > -10 +4 0 > -6 ( possible )We’ll substitute the given points to determine which is a solution that satisfies the inequality:
(3, 9):
-5(3) + 3(9) > 12
-15 + 27 > 12
12 > 12 (False statement, as 12 ≯ 12)
(-5, 5):
-5x + 3y > 12
-5(-5) + 3(5) > 12
25 + 15 > 12
40 > 12 (True statement). Thus, it is a solution.
(3, -6)
-5(3) + 3(-6) > 12
-15 - 18 > 12
-33 > 12 (False statement. -33 ≯ 12).
(-2, -5)
-5(-2) + 3(-5) > 12
10 - 15 > 12
-5 > 12 (False statement. -5 ≯ 12).
Therefore, the only solution is (-5, 5).
Please mark my answer as the Brainliest, if you find my explanations/solution helpful :)
simplify √([2m5z6]/[ xy])
Answers
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
For such more questions on simplified form
https://brainly.com/question/28323654
#SPJ8
What us the value of IN e^4
Answers
Answer:
4 is your answer
Step-by-step explanation:
How do I find the value
Answers
A = 139°
B = 139°
You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.
The angle around a point always add up to 360°, so add the 41° angles.
41 + 41 = 82°
Then minus this by 360°.
360 - 82 = 278°
And to work out one angle, which gives you the angle for both, divide 278 by two.
278 ÷ 2 = 139°
Both A and B have an angle of 139°
Example:
To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:
3x - 5 = -2x + 7
5x = 12
x = 12/5
Then, plug x = 12/5 into either equation and solve for y:
y = 3(12/5) - 5
y = 36/5 - 25/5
y = 11/5
Therefore, the point of intersection is (12/5, 11/5).
If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:
slope = tan(41 degrees) ≈ 0.87
y = mx + b
y = 0.87x + 0
Then, you can use the same method as before to find the point of intersection with another line.
_______________________________________________________
The answer is 139 degrees, using the method I gave.
MARK AS BRAINLIEST!!!
Can somebody help me please
Answers
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
9514 1404 393
Answer:
(b) Output 6, Input 8
Step-by-step explanation:
One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier
output/input = 12/2 = 30/5 = 66/11 = 6
Then for input 1, output is 1×6 = 6.
For unknown input, we have ...
input × 6 = 48
input = 48/6 = 8
__
The two blanks are ...
input: 8; output 6
Show that the equation 2sinxtanx+3=0 can be expressed as 2cos^(2)x-3cosx-2=0
Answers
The equation 2sin(x)tan(x) + 3 = 0 has been proved to equal 2cos²(x) - 3cos(x) - 2 = 0
How to prove the equationsFrom the question, we have the following equation that can be used in our computation:
2sinxtanx+3=0
Rewrite as
2sin(x)tan(x) + 3 = 0
Express tan(x) as tan(x) = sin(x)/cos(x)
So, we have
2sin²(x)/cos(x) + 3 = 0
Multiply through by cos(x)
2sin²(x) + 3cos(x) = 0
Express sin²(x) as 1 - cos²(x)
So, we have
2(1 - cos²(x)) + 3cos(x) = 0
Expand
2 - 2cos²(x) + 3cos(x) = 0
Multiply through by -1
-2 + 2cos²(x) - 3cos(x) = 0
Rearrange the terms
2cos²(x) - 3cos(x) - 2 = 0
Hence, the equation has been proved
Read more about trigonometry equations at
https://brainly.com/question/24349828
#SPJ1
solve for x in the simplest form
Answers
Answer:
x= 12/5
Step-by-step explanation:
Distribute the fraction and solve for x.
Which of the following value are in the domain of the function graphed below?
Answers
Answer:
look at the domain, where the line is on the x-axis
Step-by-step explanation:
How many ¼ pound bags of nuts can be made from a 2 1/2 pound bag of nuts?
Answers
There are 16 ounces in a pound.
A 1/4 pound bag of nuts is equal to 1/4 * 16 = <<1/416=4>>4 ounces.
Therefore, you can make 40/4 = <<40/4=10>>10 1/4 pound bags of nuts from a 2 1/2 pound bag of nuts.
Answer:
9 bags
Step-by-step explanation:
2 1/4 ÷ 1/4
9/4 ÷ 1/4
9/4 x 4/1 = 9
The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?
Answers
Answer: a
Step-by-step explanation:
just took test edg2020
The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.
What is an Inequality?An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
The equation is
y = tan²x
y = 1
the inequalities are
tan²x < 1 ( 0≤ x ≤ 2π)
The graph of the system of equations and the inequality is plotted, and attached with the answer.
The answer can be seen as x = π/6.
To know more about Inequality
https://brainly.com/question/20383699
#SPJ5
(g) Every student of class IV donated as much money as their number to make a fund for landslide, If there are 68 students in class IV how much money did they collect?
Answers
Answer:$2346
Step-by-step explanation: Assuming that the students' numbers start at 1, we have 1+2+3+4.....+65+66+67+68 as the total amount of money raised. We can see that 1+68 = 69 and 2+67 also equals 69. So, we can use this method to figure out how many 69s are in the sum. Since 68 divided by 2 is 34, there are 34 69s in the sum. 34x69 = 2346.
Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answers
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
Let A= { 10,11,12,13}
n(A)
The number of non-empty subsets of A
Answers
The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.
In the question, we are given a set A = {10, 11, 12, 13}.
We are asked for the cardinal number of the set n(A).
Also, we are asked for the number of non-empty subsets of A.
The cardinal number of any set A is given as n(A), which represents the number of elements in set A.
For the given set A = {10, 11, 12, 13}, the number of elements are 4.
Thus, the cardinal number of the set A is, n(A) = 4.
The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.
The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.
Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.
Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.
Learn more about sets at
https://brainly.com/question/19498725
#SPJ9
Please HELP!! Need answer ASAP
Answers
Answer:
last option: answer is 'x'
Step-by-step explanation:
(3x + 1 - 1) / 3 = 3x / 3 = x
18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
Answers
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
To learn more about polynomial refer to:
https://brainly.com/question/2833285
#SPJ1
What is the area of
the segment? Express
the answer in terms
of pi.
Answers
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
learn more about area of segment from
https://brainly.com/question/22599425
#SPJ1
Given: 5x - 2 = -12 . Prove: x = -2 Statements 1. 5x - 2 = -12 1.
Answers
Answer:
x=-2
Step-by-step explanation:
5x-2=-12
+2=+2
5x=-10
/5 /5
x=-2
(5*-2=-10)-2=-12 is correct
Sam lives 45 miles due West of where he works. Everyday he drives on the highway at 65 mph. Jim works in the same building, and lives 30 miles due East, but is only able to drive 40 mph. Use this information to answer the following question.If they do not stop at the building where they work and just kept on driving, after how much time would they pass each other on the road? Round to the nearest THOUSANDTH of an hour, and label your answer.
Answers
Let's begin by listing out the information given to us:
Sam's travel time: 45/65 * 60 = 41.56 min
Jim's travel time: 30/40 * 60 = 45min
The difference in the time taken is: 45 - 41.56 = 3.44 mins
Since they did not stop along the way, the distance between them when they start is given by: 45 + 30 = 75 miles
We will proceed to calculate the time when they meet by using the Distance equation. We have:
distance = speed * time
65t + 40t = 75 ⇒ 105t = 75
t = 70/105 = 0.7143
t = 0.7143 hr
When they pass one another, they are this distance apart:
Jim: (0.7143 * 65) - 45 = 1.43 mi passed the office
Sam: (0.7143 * 40) - 30 = 1.43 mi before the office
Therefore, they are 1.43 miles away when they pass one another
Thank you for taking the time out of your day to help me. Appreciate it.
Answers
Answer:
calculator gave me 6.5732
Step-by-step explanation:
What is 2x + 2 when x = 0?
solve fast if you do i will mark you as brainlist and make sure its correct
Answers
The answer is 2
2 × 0 = 0 0+2=2
What is the value of the rational expression below when x is equal to 4?
X+ 20/X+4
Answers
Answer: 3/2
Step-by-step explanation:
when x=4.
4+20/4+4
24/16 = 6/4 = 3/2
Please help, I have no clue how to answer this.
Answers
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.