Answers
Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
[tex] AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(9 -(-9))^2 + (1 - 4)^2} [/tex]
[tex] = \sqrt{(18)^2 + (-3)^2} [/tex]
[tex] = \sqrt{(324 + 9} = \sqrt{333} [/tex]
[tex] AD = 18.2 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(2 -(-4))^2 + (-4 -(-3))^2} [/tex]
[tex] = \sqrt{(6)^2 + (-1)^2} [/tex]
[tex] = \sqrt{(36 + 1} = \sqrt{37} [/tex]
[tex] BC = 6.1 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
[tex] BE = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-3 -(-4))^2 + (3 -(-3))^2} [/tex]
[tex] = \sqrt{(1)^2 + (6)^2} [/tex]
[tex] = \sqrt{(1 + 36} = \sqrt{37} [/tex]
[tex] BE = 6.1 units [/tex] (nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)
Related Questions
Does anyone know this?
Answers
Answer:
no? :I
Step-by-step explanation:
If 1 day (24 hours) is equal to 1000 years, what does one minute equal?
Answers
Answer:
Step-by-step explanation:
1440 minutes in a day. meaning that 1.44 years is about a minute
Suppose that 84% of the cases of car burglar alarms that go off are false. Let p be the proportion of false alarms in a random sample of 110 cases of car burglar alarms that go off. Calculate the mean and standard deviation of p and describe the shape of its sampling distribution.
Round your answer to four decimals places if necessary
up= ______
op= ______
The sampling distribution of p is normal or skewed to the right?
Answers
Answer:
0.84 ; 0.0349545 ; symmetric
Step-by-step explanation:
Given that:
p = proportion of false alarm
Sample size (n) = 110
The mean of p
Since 84% of car buglar alarms turns out as false, then, the mean value of p = 0.84
To obtain the standard deviation ; we use the relation ;
√(p(1 - p) / n)
Standard deviation :
√0.84(1 - 0.84) / 110
√0.84(0.16) / 110
√0.1344 / 110
√0.0012218
= 0.0349545
np = 110 * 0.84 = 92.4 (distribution is symmetric or normal)
inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational
Answers
Answer:
Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.
for example:
4 = 0 + 1 + 1+ 1 +1 is an integer.
-3 = 0 - 1 - 1- 1 is an integer.
0 is also an integer, you add ones zero times.
Then 5 examples of integers can be:
-10, -5, 0, 4, 18
Whole numbers: this set is the set of the positive integers and the zero.
Then 5 examples are:
0, 1, 4, 6, 173
Rational: All the numbers that can be written as a quotient of two integers.
5 examples are:
2/2, 7/3, 4/16, 100/10, -500/1048
Natural: Is the set of the positive integers.
5 examples are:
1, 4, 6, 120, 47
Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.
5 examples are:
pi, √2, √3, √5, √13
where pi = 3.141592653...
Is the relation between the perimeter of a circle and its diameter.
perimeter = diameter*pi.
6.34 1.645
10.3401-0.34
45
Answers
Step-by-step explanation:
dude wut r we suppose to do??
Graph each set of integers on a number line.
7. (4, -3, 1,5)
-6-5-4-3-2-1 0 1 2 3 4 5 6
8. (-15, -12, -9, -2)
+++++
-14 -12 -10 8-6
H-
-2
4
9. (8,3, -7,-5)
-8 6 4
-2.
0
2.
4
6
8
10. 1-14, - 7, 10, -1)
++
-15
-12
9
3
0
3
6
9
11. 1-6, -1,0,31
-6-5-4-3-2-1 0 1 2 3 4 5 6
Answers
Answer:
-14 -12 -10 8-6
Step-by-step explanation:
2/9 of my number is 4. what is my number?
Be the brainy one ny answerinng the question OK?
Answers
Which statement is true for all triangles with exterior angle 1 and remote interior angles 2 and 3?
Answers
Answer:
The answer is below
Step-by-step explanation:
The measure of the exterior angle 1 of a triangle is equal to the sum of the corresponding interior angles 2 and 3.
This is evident in the Theorem 3 of a triangle
For example
Given a hypothetical triangle, with the following angle QRS, ∠1, ∠2, and ∠3 are interior angles. And ∠4, ∠5, and ∠6 are the three exterior angles.
We have the following ∠4 = ∠2 + ∠3
∠5 = ∠1 + ∠3
∠6 = ∠1 + ∠2
Advertising. I know I have to write about advertising. What do I know about advertising? I know you have to market a product to a specific audience.
Advertising is used to sell things like soft drinks or cars. I think I need to narrow down my choices of what to advertise Advertisements can be written,
heard, or seen. Should I have a visual advertisement on a new brand of energy drink? Which prewriting strategy is shown above? (4 points)
• Brainstorming
O Freewriting
O Clustering
Journalist Questions
Answers
Answer:
i think brainstorming
Step-by-step explanation:
0.09 divided by 0.81
Answers
Answer:
9
Step-by-step explanation:
Basically just remove the decimals and do 81/9 and you will get nine
You can remove the decimals because you are dividing which means that either way, you will get the same answer
the answer is 9 hope this helps
I am trying to be a
Answers
WILL GIVE 25 POINTS PLEASE HELP
Answers
Answer:
A: rising B: falling C: falling D: falling
Step-by-step explanation:
i think its correct i might be wrong
Is (-4)6 positive or negative?
Answers
Answer:
+2/positive 2
Step-by-step explanation:
positive 2 because + and - = - but the number 6 is bigger than 4 thats why it is +2
Answer:
Negative
Step-by-step explanation:
Any time you multiply a positive number by a negative, the answer will always be negative.
N = negative
P = positive
N*N = P
N*P = N
P*P = P
Graph the line by plotting any two ordered pairs that satisfy the equation.
-6y = 9
Answers
Answer:
GRAPH IS IN THE PICTURE BELOW
Step-by-step explanation:
Define the is a way of expressi a relationship between x and y in set notation it is called an
Answers
Answer:
I think it’s an ordered pair?
Step-by-step explanation:
Assume that process that makes the parts can be altered to adjust the overall mean of the reflectiveness score. Also assume that if an individual part has a score less than 85, then the part is given a passing quality score. The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is:______
a. greater than 80
b. less than 80
c. equal to 80
Answers
Answer:
c. equal to 80
Step-by-step explanation:
Given that:
The population mean = 80
The standard deviation is = 6
The sample mean = 85
The objective is to find the probability that is less than 85
[tex]P(X < 85) = P( Z < \dfrac{x-\mu}{\sigma})[/tex]
[tex]P(X < 85) = P( Z < \dfrac{85-80}{6})[/tex]
[tex]P(X < 85) = P( Z < \dfrac{5}{6})[/tex]
[tex]P(X < 85) = P( Z < 0.833)[/tex]
From the standard normal table
P(X <85) = 0.7977
P(X< 85) = 79.77%
P(X< 85) = 80%
Therefore, The adjusted value of the true mean in population S that would result in approximately 80% of parts from that population being given a passing score is: equal to 80 .
I'm so stressed Please help I will try to give you BRAINLIEST if you get it right I promise please help
Answers
B: (8,9) Quadrant I (1)
C: (-3,-2) Quadrant III (3)
D: (4,0) On the x-axis
E: (-7,-4) Quadrant III (3)
F: (8,7) Quadrant I (1)
G: (0,-7) On the y-axis
H: (1,5) Quadrant I (1)
HELPPPPPP ASAPPPPP!!!!!
Katie wants to buy a scooter. It costs $100. She has to wait until the scooter goes on sale for at least 35% off before she has enough money buy it. How much money does Katie have to buy the scooter?
$35.00
$60.00
$65.00
$75.00
Answers
Answer:
C) $65.00
hope that helps!
Factor the expression completely. -24x-6x^5
Answers
Answer: -6x(x^4 + 4)
Step-by-step explanation: factor the -6 out of the problem
what is the rule for this table, IN -7,0,2,13,14,18. OUT -18,-11,-9,2,3,7
Answers
9514 1404 393
Answer:
y = x -11
Step-by-step explanation:
The table values don't have "nice" differences, so it is not easy to identify the pattern immediately. I found it worked to plot the points on a graph. This shows they are all on a line with a slope of 1. The point (0, -11) tells us that the y-intercept is -11.
A line with a slope of 1 and a y-intercept of -11 has the equation ...
y = x - 11
Rewrite in simplest terms: -3(-8d – 1) + 2d
Answers
Answer:
26d+3
Step-by-step explanation:
first parentheses
-3×-8d=24d
remeber negative × negative = positive
-3×-1=3
24d+3+2d=
26d+3
I hope I helped! :)
Write a story about temperatures that this expression could represent: ½ + (-¾)
Answers
Answer:
boom
Step-by-step explanation:
Answer:
so when your in the avatar state it is below zero, so you have to wear warm cloths
Step-by-step explanation:
help me how to answer this please
Answers
Step-by-step explanation:
x^2 + 4x - 21 = 0
(x - 3)(x + 7) = 0
x = 3 or x = -7
x^2 - 14x = -24
x^2 - 14x + 24 = 0
(x - 12)(x - 2) = 0
x - 12 = 0 or x - 2 = 0
x = 12 or x = 2
2x^2 - 12 = 2x
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 or x = -2
Topic: Factorisation
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
What is happening to this graph when the rvalues are
between - 1 and 1?
Answers
Answer:
Where's The graph?
Step-by-step explanation:
Answer:
There is no graph post the graph
Step-by-step explanation:
Solve for x in this equation: 3/4 +|5-x| = 13/4
Step 1: Isolate the absolute value by subtracting
from both sides of the equation.
Answers
Answer: this is correct
Step-by-step explanation:
It says it’s correct
Your friend says that he can get a dozen dvds from website for $90
Answers
The website probably sells pirated DVD
Answer:
He is wrong. The total cost would be $111
Step-by-step explanation:
Hope this helps!
Jessica has 3 cards in a bag,each marked with a letter. The letters are X, Y, and Z. Without looking, she reaches into the
bag, pulls out a
card, and then puts the card back in the bag. If Jessica does this 3 times, what is the probability she pulls out the X card first, then the Y
card, and then the Z card? In a fraction
Answers
Answer:
Step-by-step explanation: It’s 3/7, 1/27, 3/20 idk which one tho :(
Which of the following quantities are continuous ?
Answers
Answer: A. only II
Step-by-step explanation:
Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's the divisible unit.
The number of books and bracelets also discrete, thus the answer is A.
If AD : AB = 2 : 5, the coordinates of point F are . Point E has the coordinates (2.8, -3), and the coordinates of point D are .
Answers
Answer:
(4.4, -4.6) and (4.4, -1.4)
Step-by-step explanation:
Got a 100 on plato
Coordinates are usually denoted by (x,y) the x-value and y-value.
What is a Coordinate?This has to do with the system which makes use of numbers or coordinates in order to find the location of a point.
Please note that your question is incomplete so I gave you a general overview to get a better understanding of the concept.
Read more about coordinates here:
https://brainly.com/question/17206319
#SPJ2
Which inequality is true?
–1.5 > –0.5
Negative one-half
–2.5 < –2
Negative 1 and one-half
Answers
Answer:
-2.5 < -2
Step-by-step explanation:
-3, -2.5, -2,...,0,1 ,2, 3, ...
Answer: the answer is -2.5 =2 1/2, -0.5 <0, -2.5 <-2 im probably wrong but oh well...
Step-by-step explanation: