Find the area of a shaded portion 10 km 20 km 20km

Answers

Answer 1

The area of the shaded region will be 150 square kilometers.

What is Parallelogram? What is triangle?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a 2- D figure as shown in the image.

The area of the shaded region will be -

A[shaded] = A [square] - {A [Δ1] + A [Δ2] + A [Δ3]}

A[shaded] = (20 X 20) - [{1/2 x 10 x 10} + {1/2 x 10 x 20} + {1/2 x 10 x 20}]

A[shaded] = 400 - [50 + 100 + 100]

A[shaded] = 400 - 250

A[shaded] = 150 square kilometers

Therefore, the area of the shaded region will be 150 square kilometers.

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Find The Area Of A Shaded Portion 10 Km 20 Km 20km

Related Questions

What is Four divided by 1 8. It’s a faction the one and eight

Answers

Answer: 32

Step-by-step explanation:

4 ÷ 1/8
You can reduce the expression by cancelling out common factors;
4/1 ÷ 1/8
Cross cancel the ones, and then multiply 4 and 8
4 x 8 = 32

A contractor has 18 gallons of paint that will cover 2,808 square feet

Answers

The rate that best represents the relationship between the number of square feet and the number of gallons of paint is 156 square feet per gallon of paint.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that a contractor has 18 gallons of paint that will cover 2,808 square feet. Therefore, the relationship between the number of square feet and the number of gallons of paint can be written as,

Number of square feet per gallon of paint

= Total area painted by 18 gallons / Total area of the paint

= 2,808 square feet / 18 gallons

= 156 square feet per gallon of paint

Hence, the correct option is C.

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The complete question is:

A contractor has 18 gallons of paint which will cover 2,808 square feet. Which of the following rates best represents the relationship between the number of square feet and the number of gallons of paint?

1 point

A. 182 gallons of paint per square foot

B. 2,912 gallons of paint per square foot

C. 156 square feet per gallon of paint

D. 16 square feet per gallon of paint

The frame of a bicycle weighs 16 pounds. Each tire weighs 9 ounces. The seat weighs 12 ounces. The handlebars weigh 24 ounces. How many pounds does the bicycle weigh?

Answers

The weight of the bicycle is 19.375 pounds.

Define weight.

In physics and engineering, the weight of an object refers to the gravitational force that pulls on it. Weight is frequently described as a scalar quantity that measures the gravitational force's strength.

The weight of the frame of the bicycle= 16 pounds

1 pound= 16 ounces

Therefore, 16 pounds= 16 x 16 = 256 ounces

The weight of one tire= 9 ounces

Therefore, the weight of two tires= 9 x 2 = 18 ounces

The weight of the seat= 12 ounces

The weight of handlebars= 24 ounces

Therefore, the total weight of the bicycle = 256 + 18 + 12 + 24                                                                              

                                                                     = 310 ounces

Therefore, the bicycle weighs 310 ounces

That is 310/ 16 = 19.375 pounds

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What is the distance between Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles what is the difference between them I need it in scientific notation

Answers

The distance between Texas and Rhode Island will be;

⇒ 2.59 × 10⁵ square miles

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.

Now,

Since, Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.

Hence, The distance between Texas and Rhode Island will be find as;

⇒ 2.6 × 10⁵ - 1.21 × 10³

⇒ 260 × 10³ - 1.21 × 10³

⇒ (260 - 1.21) × 10³

⇒ 258.79 × 10³

⇒ 2.59 × 10⁵ square miles

Thus, The distance between Texas and Rhode Island will be;

⇒ 2.59 × 10⁵ square miles

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Whats the answer please help its worth 10 points!

Answers

x < 4
This is the correct answer. Hope it helps :)

[tex]y= 4\\y = \frac{8}{3} x - 4\\[/tex]

Answers

Answer: x=3

Step-by-step explanation:

Assuming you want to solve the system,

You are already given y = 4, so plug 4 in for the other y in the other equation.

[tex]y=\frac{8}{3} x-4\\\\4=\frac{8}{3} x-4\\4+4=\frac{8}{3} x-4+4\\\frac{3}{8}\times 8=\frac{3}{8} \times\frac{8}{3}x\\\\x=3[/tex]

Determine the values of A, B, and C when y- 7= 3(x-4) is written in standard form, Ax+By = C.

Answers

Answer:

A = 3

B = -1

C = 5

Step-by-step explanation:

y - 7 = 3(x - 4)    Distribute the 3

y - 7 = 3x -12  subtract y from both sides

-7 = 3x -y -12  Add 12 to both sides

5 =3x -y  Flip the equation around the equal sign

3x -y = 5

The 3 is the A, -1 is the B and 5 is the C.

which figure should be next, following the pattern?

Answers

The figure that should be the next, following the pattern is option (b)

How to determine the next figure?

The missing information that completes this question is added as an attachment

From the attached figure, we have the following pattern:

Each of the figure represents the alphabet letter PThe next figure is gotten by rotating the current figure by 45 degrees to the right i.e. in clockwise direction

When the pattern is studied carefully, we can see that the next figure is the figure in option (b)

This is so because the figure in option (b) is gotten by rotating the last figure in the pattern by 45 degrees to the right

Hence, the conclusion about the figure that should be the next figure is that the next figure should be figure (b)

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verify that (sin x -cos x)^2 =1-2 sin x cos x is an identity

Answers

By trigonometric formulas and algebra properties, the equivalence between the trigonometric expression (sin x - cos x)² and the trigonometric expression 1 - 2 · sin x · cos x.

How to prove the equivalence between two trigonometric expressions

In this problem we need to prove if the trigonometric expression (sin x - cos x)² is equivalent to the trigonometric expression 1 - 2 · sin x · cos x, this can be proved by trigonometric formulas and algebra properties. First, write the initial expression:

(sin x - cos x)²

Second, expand the binomial:

sin² x - 2 · sin x · cos x + cos² x

Third, use the fundamental trigonometric expression:

1 - 2 · sin x · cos x

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24 - 10x = 9 (ignore---------------------------------------------------------------------------------------------------------------)

Answers

[tex]\fbox{x=$\dfrac{3}{2}$}[/tex] or [tex]\fbox{x=1.5}[/tex]

Simplify Equation:

[tex]24-10x=9[/tex]

[tex]-10x+24=9[/tex]

Subtract 24 from both sides:

[tex]-10x+24-24=9-24[/tex]

[tex]-10x=-15[/tex]

Divide both sides by -10:

[tex]\dfrac{-10x}{-10} =\dfrac{-15}{-10}[/tex]

[tex]x=\dfrac{3}{2}[/tex] or [tex]x=1.5[/tex]

Please help! The answer is the slope and it needs to be rounded to 3 decimal places.

Answers

The slope is 0.003

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

the coordinates are (12000, 20) and (18000, 2)

so, slope= 18 / 6000

              = 0.003

The 3 in the thousandths place rounds down to 3, or stays the same, because the digit to the right in the ten thousandths place is 0.003.

Hence, the slope is 0.003.

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For what value of x is line m parallel to line n? ​

Answers

Answer: x=-2

Step-by-step explanation:

they’re corresponding angles meaning they’re congruent or equal to each other then solve like any other problem

HELP!! 30 POINTS!!
What is the correlation of the data shown?


0
1
-0.5
-1

Answers

The correlation of the data shown on the graph is 0

How to determine the correlation?

In this question, the graph represents the given parameter

From the graph, we have the following observations

The x values is on the horizontal axisThe y values is on the vertical axisAs the x values increase, the y values do not follow a pattern

When the change (increase) in the x values causes a random change (increment) in the y values, then the correlation is 0

From the list of options, we have

-1, -0.5 and 1 are not zero i.e. 0

This means that the correlation is (a) 0

Hence, the correlation of the data is 1

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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.

Answers

Answer is y = -2x + 45
Assuming this is what you were looking for.

We know points (6,33) (15,15) are on the line, we can use them to find slope using slope formula y2 - y1 over x2 - x1

15 - 33 over 15 - 6 = -18/9 or -2 slope

Using slope and the y intercept of 45 (where the line crosses the y axis) we can find the equation.
y = mx + b

y = -2x + 45

If we take one set of points and substitute them into our equation we can prove our equation.

15 = -2(15) + 45

15 = -30 + 45

15 = 15 they agree so problem solved!

You purchased 5,000 shares of a mutual fund at a price of $7.50 per share. You later sell those shares for $8.35 per share. During the time you owned the shares, the fund paid a dividend of $0.41 per share. Determine your investment return on the fund? Round answer to nearest tenth of a percent. Show your work

Answers

The required investment return on the fund is $6300 which is 16.8% of the investment.

Given that,
purchased 5,000 shares of a mutual fund at a price of $7.50 per share. Later sell those shares for $8.35 per share. During the time you owned the shares, the fund paid a dividend of $0.41 per share.

What is the investment?

When someone applies for their money on something so that he can get a higher value in returns of his money.

Here,
Profit = 5000[8.35 + 0.41-7.50]
profit = $6300
Profit percentage = 6300 / [7.5 × 5000] × 100%
Profit percentage = 16.8%

Thus, the required investment return on the fund is $6300 which is 16.8% of the investment.

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Solve the following equations
25x²-4=0

Answers

Answer: x= (2)/5 & x= (-2)/5

Step-by-step explanation:

Factor Form:

1. Use the sum product patturn

25x^2-4=0 → 25x^2+10-10-4=0

2. Common factors from each pair

25x^2+10-10-4=0 → 5x(5x+2)-2(5x+2)=0

3. Rewrite the factored form

5x(5x+2)-2(5x+2)=0 → (5x+2)(5x-2)=0

4. Create separate equations

(5x+2)(5x-2)=0 → 5x+2=0  5x-2=0

5. Solve

5x+2=0  5x-2=0 → x=(2)/5   x=(-2)/5

what is the reciprocal of 8?

Answers

Answer:1/8

Step-by-step explanation:

The reciprocal of a number is what you multiply by a number to give 1. Therefore

8x = 1

x = 1/8

Susan runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

Answer:

Step-by-step explanation:

4.2 miles

two more than a certian number is 15 less than the product of 7/8 and the number

Answers

The number is -136.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Let the number be x.

Given that, two more than the number, x, is 15 less than the product of 7/8 and the number, therefore:

x + 2 = (7/8)x - 15

x - (7/8)x = -15 -2

x/8 = -17

x = -136

Hence, the number is -136.

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Four students in Mr. Morales' math classes are
conducting surveys in their school. They each
handed out 100 surveys. The table shows the
response rates of each student's survey.
Response Rates
Min-seo: 4 out of 5 students responded
Orlando: 8 out of 10 students responded
Jian: 3 out of 4 students responded
Leona: 10 out of 12 students responded

2. Did Min-seo and Orlando get the same ratio of responses? Explain.

3. Did Jian and Leona get the same ratio of responses? Explain.

Answers

Min-Seo and Orlando have the same ratio of responses but Jian and Leona do have not the same ratio of responses.

What is ratio?

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

The ratios given in the question are,

2.

The ratio obtained by Min-SEO = 4/5 and,

The ratio obtained by Orlando = 8/10

The ratio in the simplest form will be: 4/5

This means that Nin-SEO and Orlando have the same ratio of responses.

3.

The ratio obtained by Jian = 3/4 and,

The ratio obtained by Leona = 10/12

The simplest form of ratio = 5/6

This means that Jian and Leona do have not the same ratio of responses.

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right triangleXYZ with hypotenuse line segment YZ, the length of line segment XY is b units long, and the length of line segment XZ is three times the length of line segment XY

Answers

The length of the hypotenuse side of the right triangle ΔXYZ, found using Pythagorean Theorem is b·√(10)

What is Pythagorean Theorem?

Pythagorean Theorem  indicates that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the legs of the right triangle.

The specified parameters of triangle are;

The hypotenuse of the triangle, ΔXYZ = [tex]\overline{YZ}[/tex]

The length of the legs of the right triangle are;

[tex]\overline{XY}[/tex] = b, and [tex]\overline{XZ}[/tex] = 3 × [tex]\overline{XY}[/tex]

Therefore;

[tex]\overline{XZ}[/tex] = 3 × b (substitution property of equality)

The length of the hypotenuse side can be calculated as follows;

Therefore;, according to Pythagorean theorem, we get;

[tex]\overline{YZ}[/tex]² = [tex]\overline{XY}[/tex]²  +  [tex]\overline{XY}[/tex]²

[tex]\overline{YZ}[/tex]² = b²  +  (3·b)² = b² + 9·b² = 10·b²

[tex]\overline{YZ}[/tex] = [tex]\sqrt{10\cdot b^2} = b \cdot \sqrt{10}[/tex]

The  length of the  hypotenuse side , [tex]\overline{YZ}[/tex] = b·√(10)

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Sarah spent 30 minutes practicing her spelling words. She spent 3 times as much time reading. How many minutes did Sarah spend reading?

Answers

Sarah spends reading 30 min + [tex]0.05 min^{2}[/tex].

What is a mathematical expression?

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.

The problem is in a mathematical expression.

30 min+3s min did Sarah spend reading

Convert s to min

.30min+3s min× 1min/60s

Cancel the common units and simplify.

Cross-cancel units.

30 min + [tex]0.05 min^{2}[/tex]

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(Area of Circles MC) A circular cookie cake costs $15.70. If the diameter of the cookie cake is 10 inches, what is the cost of one square inch of the cookie cake? Use π = 3.14.​

Answers

The cost of one square inch of the cookie cake is $5.

What is area of circle?

The area encircled by a circle with radius r is known as πr^2 in geometry. Here, the Greek letter π stands for the constant proportion of a circle's circumference to its diameter, which is roughly equal to 3.14159.

Given:

A circular cookie cake costs $15.70.

The diameter of the cookie cake is 10 inches.

We have to find the cost of one square inch of the cookie cake.

Let the diameter is 10 inches.

So, the radius is 10/2 = 5 inches.

Area of circle = πr^2

                      = 3.14 x (5)^2

                       = 3.14 x 25

Area of circle  = 78.5 square inches.

So, the cost of one square inch cookie cake is,

78.5 / 15.70 = 5

Hence, the cost of one square inch of the cookie cake is $5.

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Answer: The answer is $0.20.

Step-by-step explanation: Hope this helps! :)

Anna works at an electronics
store as a salesperson. Anna earns a 5% commission a
the total dollar amount of all
phone sales she makes, and earns a 7% commission Or
all computer sales. Anna made a total of $2100 in sales
and earned $119 in
commission. Write a system of equations that could be used to determine the dollar
amount of phone sales Anna made and the dollar amount of computer sales she
made. Define the variables that you use to write the system.
Let

Answers

Let p be the amount of sales (in dollars) of phones.

Let c be the amount of sales (in dollars) of computers.

Equation 1: sales

    p + c = 2100

the amount of all sales is 2100

Equation 2: commission

   0.05p + 0.07c = 119

5% commission on phones plus 7% commission on computers totals to 119

Given h of x equals x squared minus 2 x minus 35, which statement is true?

Answers

The zeros of the quadratic equation: h(x) = x^2 - 2x - 35

are -5 and 7, thus the correct option is B.

What are the true statements?

Here we have the quadratic equation:

h(x) = x^2 - 2x - 35

Using the quadratic formula we will get the two solutions:

[tex]x = \frac{2 \pm \sqrt{(-2)^2 - 4*1*-35} }{2*1} \\\\x = \frac{2 \pm 12 }{2} \\\\[/tex]

The solutions are:

x = (2 + 12)/2 = 7

x = (2 - 12)/2 = -5

Then the factors of the quadratic are (x - 7) and (x + 5), the correct option is B.

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I need the answer for this

Answers

Answer:  3.46

Step-by-step explanation:

5[tex]u^{2}[/tex] = 60

 [tex]u^{2}[/tex] = 12

 u = [tex]\sqrt{12}[/tex]

 u = 3.46

"2. Compare and contrast the two major sects of Islam, Sunni and Shia, by filling out the table below. (10 points)
Similarities in the sects Differences between the sects"

Answers

The similarity is that Sunni and Shia Muslims agree on the fundamental tenets of Islam, such as worshiping Allah as God, acknowledging Muhammad (Peace Be Upon Him) as the Prophet, and adhering to the Quran's teachings.

The difference is that Shia place a greater emphasis on Muhammad's family ancestry through a succession of Imams than Sunnis do on imitating the Prophet and his example.

What is the Similarities and difference between the difference Islamic sect?

All Shia and Sunni Muslims recognize the importance of the Quran; contrary to popular belief, Shi'a does not use a corrupted version of the Quran.

Shi'a and Sunni Muslims both use the Hadith, though they often prefer different collections of sayings.

They have different perspectives on imams. Imams are considered saints in Sunni Islam and must have a strong commitment to the Quran and Sunnah in order to be nominated. In Shia Islam, however, only God has the authority to name an imam. Only imams in Shia Islam have the authority to translate the Quran.

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Daniel rollerbladed 3 1/4 miles in 4 minutes. What was his speed in miles per hour?

Answers

Answer: 48 3/4 miles/hour.

Step-by-step explanation: To find Daniel's speed in miles per hour, we need to first convert the time he rollerbladed to hours. We can do this by dividing the number of minutes he rollerbladed by 60 minutes per hour, as follows:

time in hours = 4 minutes / 60 minutes/hour = 1/15 hours

We can then use the formula for speed, which is distance divided by time, to find Daniel's speed in miles per hour as follows:

speed in miles per hour = distance in miles / time in hours

speed in miles per hour = 3 1/4 miles / 1/15 hours

speed in miles per hour = 3 1/4 miles * 15 hours/1

speed in miles per hour = 48 3/4 miles/hour

Therefore, Daniel's speed in miles per hour was 48 3/4 miles/hour.

Answer:

Check explanation!

Step-by-step explanation:

Daniel  rollerbladed at 15 mph, we know this because 60 divided by 4 = 15 (number of minutes in an hour divided by his time = answer)

so daniel rollerbladed at 15 mph

4. Which of the triangles below is not a right triangle?
3 cm, 4 cm, 5 cm
27 cm, 36 cm, 45 cm
6 ft, 8 ft, 12 ft
√6in, √10in, √4in

Answers

Answer:

3cm,4cm,5cm

Step-by-step explanation:

5 is the longest side ( the hypotenuse)

and by Pythagoras theorem x=√(3²+4²)

= √(9+16)

=√(25)

= 5

so 3cm,4cm,5cm is a right angle triangle.

x=√(27²+36²)

=√(729+ 1296)

=√2025

=45

so 27cm,36cm,45cm is a right angle triangle

to find out if a triangle is a right angle triangle try applying the law of Pythagoras theorem to see if it matches, and if it matches then it is a right angle triangle but if it doesn't then it's not a right angled triangle Try for the last two and put it down the comments I'll try to check

y=-3x-17 y=x-1 solving linear equations by substitions​

Answers

x=-4, y=-5

You can substitute equation 2 into equation 1 since it's easier. After that, just substitute x=-4 back into equation 2.

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