Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.

Find The Area Of The Shaded Region In The Figure Above Using Two Different Ways. Do You Get The Sameanswer

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

First way:

Find the area of the big triangle and subtract the area of the rectangle.

Area of shaded part = 1/2 * 25 * 34 -  10*24 =  185 m^2

Second way:

Add the area of the 3 shaded triangles:

= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10

= 180 + 25 + 25 = 230 m^2

The areas are different. The reason must be that given lengths are not possible for this diagram.

Check The length of the hypotenuse of the large triangle by 2 different methods:

The hypotenuse = √(25^2 + 17^2)

= 30.23.

Now let's work out the hypotenuse of the shaded triangles:

Top one = √(15^2 ^ 12^2) = 19.21

Bottom one = √((5^2 + 10^2) = 11.18

Adding these we get 30.39  which is different than previously calculated but it should be the same.

So what we have here is impossible geometry. This accounts for the different areas.


Related Questions

Another not so difficult one, Giving Brainliest and 35 points

Answers

Answer:

[tex] 3^{-2}=\frac{1}{3²}=\frac{1}{9}[/tex]

Answer:

1/9

Step-by-step explanation:

cause it would the negative would got the 3 so it would be -3×-3 so it would be positive 9 with a 1 over it

Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA

Answers

Step-by-step explanation:

f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.

What is the answer ?????

Answers

Step-by-step explanation:

very difficult............

Plsss help I will give brainliest

Answers

The correct answer is A. Grade 7
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal

Which of these quadrilateral types must have all four sides congruent?

A. Rectangle, square
B. Parallelogram, rectangle, square, rhombus
C. Square, rhombus
D. Rectangle, square, rhombus

Answers

C. Square & rhombus

C. Square, a rhombus is the right answer.

What does it mean that all four sides are congruent?

A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.

Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.

Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.

Learn more about congruent here:https://brainly.com/question/22616

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Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer:

Answers

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answers

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is a parallelogram, and m-ABC = 127º. The length of BC is 10 units, and the length of AB is 5 units.
1271
D
units, and m_BCD is
The perimeter of the parallelogram is

Answers

Answer:

Perimeter = 30 units

m<BCD = 53°

Step-by-step explanation:

Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.

We would use this knowledge to solve the problem given.

m<ABC = 127° (given)

BC = 10 units

AB = 5 units

✔️Perimeter of the parallelogram = AB + BC + CD + AD

AB = CD = 5 units (pair of parallel sides)

BC = AD = 10 units (pair of parallel sides)

Perimeter = 5 + 10 + 5 + 10

Perimeter = 30 units

✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)

m<BCD = 180° - 127° (Substitution)

m<BCD = 53°

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

simplify 3^3 - 2x(5x-5) + √25

Answers

-10x^2+10x+32 is the simplified answer

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

Con procedimiento por favor

Answers

Answer:

C

Step-by-step explanation:

Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places​

Answers

Answer:

0.9

Step-by-step explanation:

His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.

Solution:

The z score shows by how many standard deviations the raw score is above or below the mean.

Given that:

The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96

The margin of error (E) is given by:

[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

What is the answer I need helppppp

Answers

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

If I had 3000 plums and I sold 100 how much money would I have plums would I have left.

Answers

Answer:

2,900 plums left

Step-by-step explanation:

3,000 plums - 100 sold plums = 2,900 plums left

Answer:

2900

Step-by-step explanation:

3000 (plums) - 100 (plums sold) = 2900 (plums left.)

You didn't say how much money you started out with by the plums.

The question is in the screenshot. ( I really need help in this one)

Answers

Answer:

V=A*L

V=72*6

V=432 in cube

Please help me I will give you 16 points I don’t know what that do but I will

Answers

Answer:

40

Step-by-step explanation:

The serving sizes, [tex]x[/tex], of 20, 80, and 120 have a required amount of meat in pounds, [tex]y[/tex], of [tex]y=\frac{1}{10}x[/tex] (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to [tex]\frac{6}{40}=\frac{3}{20}[/tex] the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.

Answers

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If
23
you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose
50
another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of
picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely
to pick a tile that is the letter Y?

Answers

Answer:

23

Step-by-step explanation:

234Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If

23

you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose

50

another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of

picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely

to pick a tile that is the letter Y?

The probability of picking the letter Y from bag of 50 letters is 23/50 or 0.46 or 46% and probability of picking the letter Y form bag of 200 letters is 172/200 or 0.86 or 86%. as the probability of getting the letter Y is more in second bag this it is better to pick the bag containing 200 letters.

What is a probability?

The probability explains the chances of happening a event. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event to happen and 1 indicates certainty of the event to happen.

From the question it is said that a bag of 50 letter contain 23 Y letters. Thus the probability of the letter Y picking is 23/50 i.e, number of times the letter Y can come out if we pick the letters 50  times. So, it is certain that 23 Y letters can come out.

23/50= 0.46 or 46%

And if the bag contain 200 letters in which 172 are Y letters then the probability to pick Y is 172/200

172/100 =0.86 or 86%

As the chance to get Y letter is mor in bag containing 200 letters thus pick this bag.

thus the 1st bag probability is 46% and for 2nd bag is 86%. Hence choose 2nd bag

To know more about probability click here

https://brainly.com/question/11234923

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what is the area of parallelogram if base is 13 and the height 14

Answers

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

Can someone help me with this? i’m struggling urgent help please!!!!

Answers

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar


A 5-pack of granola bars costs $3.55. What is the unit price?

Answers

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

Pls help math coordinates of pt P

Answers

Answer:

( 3, - 2 )

Step-by-step explanation:

p is located at below 3

Can u guys hurry up pleasee The manager of a local appliance store wants to conduct a customer satisfaction survey. Which population should the manager survey? A.Sales people in the store. B.People in charge of repairs at the store. C.People who bought a major appliance from the store. D.Prospective buyers who visit the store.

Answers

Answer:

C. People who bought a major appliance from the store.

Step-by-step explanation:

A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.

For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;

i. They are the consumers of the product.

ii. They have bought and definitely used the product.

iii. They have some usable and useful experiences since they have handled the product.

A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.

Answers

Answer:

16

Step-by-step explanation:

4 option: Pork, chicken, beef, or veggie burritos.

and for each of the 4 options: rice, beans, hot or mild salsa.

4x4=16

Example:

Pork with rice

Pork with beans

pork with hot salsa

pork with mild salsa

etc.

Pork: 4 possibility

Chicken: 4 possibility

Beef: 4 possibility

Veggie burritos: 4 possibility

4+4+4+4=16

Hope this answer help you.

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