find the area of the unshaded reason for these two problems​

Find The Area Of The Unshaded Reason For These Two Problems

Answers

Answer 1

9514 1404 393

Answer:

  a) 96 m²

  b) 26,000 ft²

Step-by-step explanation:

The area of the unshaded region is the difference between the overall area of the rectangle and the area of the shaded region. It can also be found directly using the dimensions of the unshaded region.

a) We have the height of the right triangle, but need to know its base. The Pythagorean theorem can help with that. Let the base of the triangle be represented by x. Then ...

  x² +16² = 20²

  x² = 400 -256 = 144

  x = √144 = 12

The area of the unshaded triangle is given by the formula ...

  A = (1/2)bh

  A = (1/2)(12)(16) = 96 . . . . square meters

__

b) The shaded area at upper left is a square 100 ft on a side. Its area is ...

  A = s² = (100 ft)² = 10,000 ft²

The shaded area at upper right is a triangle with base and height 120 ft and 150 ft. Its area is ...

  A = (1/2)bh = (1/2)(120 ft)(150 ft) = 9,000 ft²

The area of the overall rectangle is ...

  A = LW = (300 ft)(150 ft) = 45,000 ft²

So, the unshaded area is ...

  unshaded area = overall area - left shaded area - right shaded area

  unshaded area = 45,000 ft² -10,000 ft² -9,000 ft² = 26,000 ft²


Related Questions

3. (04.04 MC)
Part A: A graph passes through the points (0, 2), (1, 3), and (2, 4). Does this graph represent a linear function or a non-linear function? Explain your answer in words
Part B: Write one example of a linear function and one example of a non-linear function.. (Use x and y as the variables) (10 points)

Answers

Answer:

Part A:

The graph passes through (0,2) (1,3) (2,4).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2

Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.

Since the slope is constant (the same) everywhere, the function is linear.

Part B:

A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.

An example is  y=2x-3

A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3

A non-linear function contains at least one of the following,

*Product of x and y

*Trigonometric function

*Exponential functions

*Logarithmic functions

*A degree which is not equal to 1 or 0.

An example is...xy= 1 or y= sqrt. x

An example of a linear function is 1/3x = y - 3

An example of a non-linear function is y= 2/3x

The locations of three fish relative to the water’s surface are –13 feet, –33 feet, and 22 feet. Which depth has the least absolute value?

Answers

Answer:

i think its -33 feet

Step-by-step explanation:

(SAT Prep) Find the value of x

Answers

X=25°

................

Determine which of the following are the solutions to the equation below.
x2=6​

Answers

Answer: the answer is b. 6

Step-by-step explanation:

help meee if answer correctly I will follow you and make you brilliant ​

Answers

Answer:

a = 2; b = -1; and c = 3

Step-by-step explanation:

Please see attached image for the step by step answer

If y =- 5x + 3, find the value of x when y = 13.

Answers

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have  10=5x. Then you would divide 5 by 5 and 10. You will get x = 2  

:)

There are six wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are six choices for the first wire, five for the second wire, four for the third wire, etc.)

Answers

Answer:

[tex]S=720[/tex]

Step-by-step explanation:

From the question we are told that

Six wire are attached to a circuit board

Generally using multiplication rule

Let number of possible sequence be given as S

Mathematically  

[tex]S=6! =6*5*4*3*2*1=720[/tex]

Therefore

Number of possible sequence [tex]S=720[/tex]

Kevin works at a restaurant. He stacks glasses as shown below. Let x be the number of glasses and f(x) be the height of the stack. If 5.5-inch glasses with 1.2-inch lips are stacked vertically, which table correctly models this situation?

Answers

Answer:

[tex]f(x) = 5.5x + 1.2 \\ \: is \: the \: required \: situation.[/tex]

As per the given condition f(x) = 5.5x +1.2 inch will be the required model.

What is function?

" A function is a mathematical expression to represent the relation between  one or more variable."

According to the question,

x represents the number of glasses

f(x) represents the height of the stack

height of the glass = 5.5inch

stack vertically with height = 1.2 inch

Therefore,

Required model

f(x) = 5.5x +1.2

Hence, f(x) = 5.5x +1.2 inch will be the required model.

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Order the following integers from least to greatest:
-25, -41, 36, –38, 28 and 16

Answers

Answer:

-41, -38, -25, 16, 28, 36

Step-by-step explanation:

rewrite the expression using the distributive property

2(4 + X)

Answers

Answer:

2(4 + X)

2*4 + 2*X

8+2X

thank you

Step-by-step explanation:

hope my answer is helpful to you

Answer:

EXPRESSION:

2(4+X)

REWRITE ANSWER:

2(4)+2(x)

8+2x or 2x+8

Step-by-step explanation:

correct me if I am wrong

Are 4x, 4y, and 4xy like terms?

Answers

Answer: yes



Explanation:

In algebra, like terms are terms that have the same combination of variables raised to the same powers. Let's determine whether 4x, 4y, and 4xy are like terms.

The term 4x consists of the variable x raised to the power of 1, while the term 4y contains the variable y raised to the power of 1. Thus, both 4x and 4y have the same combination of variables raised to the same power. Therefore, they can be considered like terms. On the other hand, the term 4xy consists of both the variables x and y, each raised to the power of 1.

Although it includes both x and y, the arrangement of the variables is different from the previous terms. This means that 4xy is not a like term to either 4x or 4y. In conclusion, among the given terms, 4x and 4y are like terms, while 4xy is not. It is important to identify like terms in algebra to simplify expressions and combine similar terms for easier calculations.

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How many 2 and 2/3 yard pieces of rope can be cut from a bundle that has 21 yards of rope

Answers

Answer:

21 divided by 2 and 2/3 = 11.1666667

Step-by-step explanation:

4,509/10,000 as a decimal number.

Answers

Step-by-step explanation:

When dividing by 10,000, shift the decimal place 4 places to the left.

4509 => 0.4509

4,509/10,000 = 0.4509.

4,509/10,000 as a decimal number is 0.4509.

What are decimal numbers?

Decimals are used to write a number that is not whole.

Given a fraction, 4,509/10,000

Dividing by 10,000, shift the decimal place 4 places to the left.

Therefore, 4,509/10,000 = 0.4509.

Hence, 4,509/10,000 as a decimal number is 0.4509.

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Find x in the given figure

Answers

Answer:

KNow

Step-by-step explanation:

I dont

Answer: x=9

Step-by-step explanation:

I'm pretty sure you make it,

4x+9=2x+27 then calculate

4x-2x=27-9 making 2x=27-9 then bringing it to

2x=18 then divide both sides to get

x=9

PLEASE HELP 100 POINTS TO WHO HELPS ME

Answers

Answer:

1. 13.65, 136.5, 1365    

2. 57.14, 5.714, .5714

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

1.365 x 10^1 = 13.65

1.365 x 10^2 = 136.5

1.365 x 10^3 = 1365

2.

571.4 / 10^1 = 57.14

571.4 / 10^2 = 5.714

571.4 / 10^3 = 0.5714

3.

479 x 10^(-1) = 4.79 * 10^1 = 47.9

479 x 10^(-2) = 4.79 * 10^0 = 4.79

479 x 10^(-3) = 4.79 * 10^(-1) = 0.479

4.

89.15 x 10^3 = 8.95 * 10^4 = 89500

5.

217.5 / 10^2 = 2.175

6.

I can't see if that is a comma or period, so I will do both

4,000 x 10^(-3) = 4 * 10^(0) = 4

4.000 x 10^(-3) = 4 * 10^(-3) = 0.004

7.

89.25 / 10^1 = 8.925

8.

3.107 x 10^1 = 31.07

9.

45.2 / 10^3 = 0.0452

10.

2,100 x 10^(-2) = 2.1 * 10^1 = 21

11.

5.7 / 10^3 = 0.0057

12.

I can't see if that is a 2 or 3, so I will do both. Standard form refers to the usual way that  numbers are written. Power to the 3 means move the decimal right 3 places, while power to the 2 means move the decimal right 2 places.

4.26 x 10^(3) = 4260

4.26 x 10^(2) = 426

Ira described the data on a dot plot as having a cluster from 0 to 3, a gap at 4, and being skewed right. Which dot plot shows the data that Ira is describing?

Answers

Answer: the answer is A

Step-by-step explanation:

Make a frequency table in descending order in inclusive form from the data given below,
Selecting a class-interval of 4 units each :
12 16 17 14 15 17 19 21 23 26
13 19 11 12 13 15 18 20 18 12
16 17 22 14 7 8 9 8 12 11

Answers

Answer:

Class interval _ Frequency __cumm /frequency

26 - 23 _________ 2 _______ 2

22 - 19 __________5 ________7

18 - 15 __________ 9 _______ 16

14 - 11 __________ 10 _______26

10 - 7 ___________4 _______ 30

Step-by-step explanation:

Given the data:

12 16 17 14 15 17 19 21 23 26 13 19 11 12 13 15 18 20 18 12 16 17 22 14 7 8 9 8 12 11

Rearranged data:

7, 8, 8, 9, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 21, 22, 23, 26

Using a class interval of 4 ; and arranging in descending order :

Class interval _ Frequency __cumm /frequency

26 - 23 _________ 2 _______ 2

22 - 19 __________5 ________7

18 - 15 __________ 9 _______ 16

14 - 11 __________ 10 _______26

10 - 7 ___________4 _______ 30

In the accompanying diagram, transversal EF intersects parallel lines AB and CD at G and H, respectively. If m∠EGB = 2x + 40 and m∠FHC = 3x - 10, what is the value of x

Answers

No diagram is provided but we can still work it out (it may vary).

So the from the description, we can tell that m∠EGB = m∠FHC through alternate exterior angles.

So,

m∠EGB = 2x + 40

m∠FHC = 3x - 10

m∠EGB = m∠FHC

2x + 40 = 3x - 10

40 = 3x - 2x - 10

40 = x - 10

40 + 10 = x

50 = x

x = 50

The value of x is 50

If a system of two linear equations has no solutions, which of the following statements describes the graph of the two corresponding lines in the xy-plane?
a. The lines are coinciding
b. The lines intersect at only one point
c. The lines are parallel
d. The lines are perpendicular
Explain why you picked your answer:

Answers

3 because it is the best

From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.

Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.

Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.

Learn more about equations on:

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can someone please help me with this question?

Answers

Answer:

1/2

Step-by-step explanation:

you are going from 20 to 10, meaning you have to multiply by a 1/2. This means that the scale factor is 1/2! Brainly pls!

2 x 10 + 4 x 1 + (7 x 1/10) + (4 x 1/100) + (5 x 1/1000) in standard form

Answers

Answer:

4949/200=

Step-by-step explanation:

7xy2-343x
factorize the expression​

Answers

Answer:

7x(y - 7)(y + 7)

Step-by-step explanation:

[tex]7x {y}^{2} - 343x \\ \\ = 7x( {y}^{2} - 49) \\ \\ = 7x ( {y}^{2} - {7}^{2} ) \\ \\ = 7x(y - 7)(y + 7)[/tex]

Select the two equations that will help you to solve this problem:

The combined average weight of an okapi and a llama is 450 kilograms.

3 llamas, on average, weigh 190 kilograms more than an average okapi.

You want to find the average weight of each type of animal.

Answers

Answer:

An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.

Step-by-step explanation:

Let,

x be the average weight of a Ilamas

y be the average weight of an okapi

According to given statement;

x + y = 450     Eqn 1

3x = y + 190   Eqn 2

From Eqn 2

y = 3x - 190     Eqn 3

Putting this value of y in Eqn 1

x + (3x-190) = 450

x + 3x - 190 = 450

4x = 450 + 190

4x = 640

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{640}{4}\\x=160\\[/tex]

Putting x = 160 in Eqn 3

y = 3(160) - 190

y = 480 - 190

y = 290

Hence,

An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.

Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Similar Preferences Number of Married Couples
All four 30
Three 128
Two 124
One 61
None 32
Suppose that a married couple is selected at random.
(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.)
0 1 2 3 4
1 2 3 4 5
(b) Do the probabilities add up to 1? Why should they?
i. Yes, because they do not cover the entire sample space.
ii. No, because they do not cover the entire sample space.
iii. Yes, because they cover the entire sample space.
iv. No, because they cover the entire sample space.
(c) What is the sample space in this problem?
i. 0, 1, 2, 3 personality preferences in common
ii. 1, 2, 3, 4 personality preferences in common
iii. 0, 1, 2, 3, 4, 5 personality preferences in common
iv. 0, 1, 2, 3, 4 personality preferences in common

Answers

Answer:

a. Probability (0) = 36/375 = 0.096

Probability (1) = 61/375 = 0.162

Probability (2) = 124/375 = 0.330

Probability (3) = 128/375 = 0.341

Probability (4) = 30/375  = 0.08  

b.  iii) Yes, because they cover the entire sample space.    

c. Obviously, the sample space in this problem is iv.

iv = {0,1,2,3,4}  personality preferences in common.    

Step-by-step explanation:

In this question, we are asked to calculated the probability of preferences in common.

As we know, the general formula for probability is:

Probability = Number of favorable outcome/ Total number of favorable outcomes

Data Given:

For 0 = 36

For 1 = 61

For 2 = 124

For 3 = 128

For 4 = 128

Total = 375 Married Couples

Probability (0) = Number of favorable outcomes/ Total Number of Favorable outcomes

Probability (0) = 36/375 = 0.096

Similarly,

Probability (1) = 61/375 = 0.162

Similarly,

Probability (2) = 124/375 = 0.330

Similarly,

Probability (3) = 128/375 = 0.341

Similarly,

Probability (4) = 30/375  = 0.08

b. Total Probability can never be greater than 1 and less than 0.

So,  Probabilities of the sample  will add up to 1

iii) Yes, because they cover the entire sample space.

Total Probability = P(0) + P(1) + P(2) + P(3) + P(4) = 1

Total Probability = 0.09 + 0.16 + 0.33 + 0.34 + 0.08 = 1

c. Obviously, the sample space in this problem is iv.

iv = {0,1,2,3,4}  personality preferences in common.

Solve for the value of m.
38°
(8m+4)°

Answers

Answer:

m = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesCombining Like Terms

Geometry

Complementary Angles - Angles that add up to 90°

Step-by-step explanation:

Step 1: Set Up Equation

The 2 angles must add up to 90°.

(8m + 4)° + 38° = 90°

Step 2: Solve for m

Combine like terms:                    8m + 42 = 90Isolate m term:                             8m = 48Isolate m:                                      m = 6

A 27 foot plece of wire is connected
from the top of a 24 foot telephone
pole to a stake in the ground. How
far is the stake from the base of
the telephone pole?

Answers

3 .......................

Abigail wants to ride her bicycle 30.4 miles this week. She has already ridden 7 miles.
If she rides for 3 more days, write and solve an equation which can be used to
determine m, the average number of miles she would have to ride each day to meet
her goal.

Answers

Answer:

3m + 7 = 30.4

m = 7.8

Step-by-step explanation:

3m, where m is the average number of miles per day, will represent how many miles she rides in the next 3 days.

She has already ridden 7 miles, so 7 has to be added to 3m in the equation.

Then, the equation has to be set equal to 30.4, because that is her goal for the week

Put this all together:

3m + 7 = 30.4

Solve for m:

3m + 7 = 30.4

3m = 23.4

m = 7.8

So, Abigail has to ride an average of 7.8 miles per day to meet her goal.

PLEASE HELP ITS DUE TODAY!!!

Answers

6/8 = p/12= tan∅

so p= 9

brainliest

C.9 I attached a photo of my calculator with my work lmk if you need any further explanation or a step by step answer

A set of data is normally distributed with a mean of 86 and a standard deviation of 1.5. What percent of the data is in the interval 86-87.5? a 68.3 c. 34.15% b. 47.75 d. 49.85% Please select the best answer from the choices provided​

Answers

Answer:

Hey mate here's your answer ⤵️

Option C

Hope it was helpfulll

Answer:

C:95.5%

Step-by-step explanation:

edge

2/3 + 1/2
i just want to give some points away

Answers

Answer: 7/6, 1 and 1/6, or 1.16


Step by step explanation:

2/3 + 1/2

4+3/6

7/6

Answer:

7/6 or 1 and 1/6

Hope this helps! <33

Lol I'm answering this so late-

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