What is the area of the trapezoid shown? trapezoid A = ______ units²?

What Is The Area Of The Trapezoid Shown? Trapezoid A = ______ Units?

Answers

Answer 1

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

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

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

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:


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 :(

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!

It would be $35.00. Convert fraction into 35/100

6.34 1.645
10.3401-0.34
45

Answers

Step-by-step explanation:

dude wut r we suppose to do??

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:

I'm so stressed Please help I will try to give you BRAINLIEST if you get it right I promise please help​

Answers

A: (10,-3) Quadrant IV (4)
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)

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.

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.

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:

Does anyone know this?

Answers

Answer:

no? :I

Step-by-step explanation:

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

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

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:

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:

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    .

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:

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:

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)

Your friend says that he can get a dozen dvds from website for $90

Answers

                              *BEWARE*

                        The website probably sells pirated DVD

Answer:

He is wrong. The total cost would be $111

Step-by-step explanation:

Hope this helps!

2/9 of my number is 4. what is my number?

Be the brainy one ny answerinng the question OK?

Answers

18 should be your number

I am trying to be a​

Answers

Yes, X will equal 44

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

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

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!

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! :)

Factor the expression completely. -24x-6x^5

Answers

Answer: -6x(x^4 + 4)

Step-by-step explanation:  factor the -6 out of the problem

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

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