The shaded diagram represents a block of land.

What is the area of the block?

The Shaded Diagram Represents A Block Of Land.What Is The Area Of The Block?

Answers

Answer 1

By using Heron's formula and standard formula for the area of a triangle, the area of the composite figure is 921006.497 square meters.

What is the area of a composite figure?

In this problem we must determine the area of a composite figure, which consists in subtracting the area of an isosceles triangle from the area of the equilateral triangle:

Big triangle

The area of the big triangle is determined by Heron's formula:

s = [3 · (520 m)] / 2

s = 780 m

A = √[(780 m) · (1560 m - 520 m)³]

A ≈936693.077 m²

Small triangle

H = (520 m) · sin 60°

H ≈ 450.333 m

h = 450.333 m - 390 m

h = 60.333 m

A = 0.5 · (520 m) · (60.333 m)

A = 15686.580 m²

Then, the area of the composite figure is 921006.497 square meters.

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Related Questions

How many significant digits are in the given measurement:

6040.0050 m

7

0

8

4

Answers

Answer:

8 significant digits

Step-by-step explanation:

Let's count

6040.0050

⬇ ⬇⬇⬇.⬇ ⬇⬇ ⬇

1 234 567 8

therefore it's 8 significant figures

which expression shows the prime factorization of 36? 2 × 2 × 3 2 × 2 × 3 2 × 3 × 3 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 2 × 3 × 3 2 × 2 × 3 × 3

Answers

Answer:

36 = 2 x 2 x 3 x 3

Answer:

2 2/3 * 2 2/3 = 64/9 = 7 1/9 ≅ 7.1111111

Step-by-step explanation:

The result:

2 2/3 * 2 2/3 = 64/

9

= 7 1/

9

≅ 7.1111111

Spelled result in words is sixty-four ninths (or seven and one ninth).

How do we solve fractions step by step?

Conversion a mixed number 2 2/

3

to a improper fraction: 2 2/3 = 2 2/

3

= 2 · 3 + 2/

3

= 6 + 2/

3

= 8/

3

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Multiple: 8/

3

* 8/

3

= 8 · 8/

3 · 3

= 64/

9

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(64, 9) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight thirds multiplied by eight thirds is sixty-four ninths.

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Best painters charges $100 to paint a room and $15 per can of paint used. Top Painters charges $75 to paint a room and $30 per can of paint used. Which equation could be used to find the number of cans of paint (p) for which the cost of the two companies is the same?
a) 45p = 175
b) p(100 + 15) = p(75 + 30)
c) 100p + 15 = 75p + 30
d) 15p + 100 = 30p + 75

Answers

d. 15p + 100 = 30p + 75

Please Help I will give Brainlist !!! Its a Math Problem !! Given that the length of two sides of a triangle are 3 cm and 2 cm, which of the below is the only measure that could possibly be a length of the last unknown side?

Question options:

2 cm

5 cm

6 cm

9 cm

Answers

Answer:

2

Step-by-step explanation:

Triangle side theorem states the sum of the lengths of any two sides of a triangle must be greater than the remaining side

3 + 2 = 5     third side would have to be LESS than 5

            so the only answer is 2 cm

Find the reciprocal of -1 1/17

Answers

Answer:

17/-11

Step-by-step explanation:

why,because reciprocal in mathematics means changing the numerator to the denominator and denominator to numerator.

HOPE THIS HELPS

Please answer this math equation.

Answers

The table that represents the linear function is table (B)

How to determine the linear function?

As a general rule, a linear function is any function that has a constant rate of change

This means that as the function independent value changes by a constant, the function dependent value changes by a constant

In other words, as the function x value changes by a constant, the function y value changes by a constant

Using the above as a guide, we can see the table B represents a linear function

This is so because, as x increases by 3, the y value decrease by -2

Hence, the table that represents the linear function is table (B)

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Find the measure of ∠ b ?

Answers

Answer:

38 degrees

Step-by-step explanation:

Angle 38 and b are the same.

find f(-2)
i need help

Answers

Answer:

f(-2) = -1

Step-by-step explanation:

wwwwwwwwwwww

Answer: f(-2) = 5

Step-by-step explanation: In this piecewise function, when x is less than -1, the equation is -3x-1. -2 is less than -1 so we use the first equation. -3(-2)-1= 6-1 = 5.

solve the inequality |x +4|-4>0

Answers

The inequality form of the given expression is:

x < -8 or x > 0

The interval notation is : (−∞,−8)∪(0,∞)

Given, the expression is |x + 4| - 4 > 0

An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

Isolate the variable by dividing each side by factors that don't contain the variable.

⇒  |x + 4| - 4 > 0

⇒  |x + 4|  > -4

Remove mod.

⇒ x + 4 > -4 or  x - 4 > -4

⇒ x > -4 -4 or x > -4 +4

⇒ x <-8 or x > 0

Hence the internal notation is :

(−∞,−8)∪(0,∞)

The required graph is plotted.

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PLEASE ANSWER FAST

How many times larger is 7 x 10^5 than 2 x 10^3?

Answers

Answer:

698,000

Step-by-step explanation:

7×10^5=700000

2×10^3=2000

700,000-2000=698,000

The given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.

Given that,

To determine, how many times larger is 7 x 10^5 than 2 x 10^3.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
We have two values, here we have to determine the relationship between the two values.

[tex]ratio = 7*10^5 / 2 * 10^3\\Ratio = 3.5 * 10 ^2[/tex]
Implies,
[tex]7*10^5 = 3.5*10^2 (2 * 10^3)[/tex]

Thus, the given 7 * [tex]10^5[/tex] is 3.5*10² times larger than 2 * 10³.


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which two cards show reflection, rotation, or translation?

Answers

Answer:

1 & 4

Step-by-step explanation:

because 3 & 5 is a reflection, 2 & 6 is a translation.

Prove the following inequality.

Answers

The proof of the inequality → (a + b)²/2 ≥ 2ab, is given below -

We have the following inequality -

(a + b)²/2 ≥ 2ab

We have to prove it.

What is inequality ?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

According to the question, we have -

Inequality -

(a + b)²/2 ≥ 2ab

Proof -

Starting from the inequality - (a - b)² ≥ 0

(a - b)² ≥ 0

a² + b² - 2ab ≥ 0

a² + b² - 2ab + 2ab ≥ 2ab

a² + b² ≥ 2ab

Add - 2ab on both sides, we get -

a² + b² + 2ab ≥ 4ab

(a + b)² ≥ 4ab

Divide both sides by 2, we get -

(a + b)²/2 ≥ 2ab

Hence Proved.

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russell runs 9/10 miles in 5 minutes. at this rate how many miles can he run in one minute

Answers

Answer:

I´m pretty sure it is 1.8 miles

Step-by-step explanation:

if angle 2 equals (2x+5)degrees and angle 3 equals 85degrees, what is the value of x

Answers

Based on the information given, the value of x is 40 degrees

What are corresponding angles?

Corresponding angles are defined as any pair of angles which on the same side of one or two lines, there is a  cut through by a transversal.

It is also important to note that when a transversal intersects two parallel lines, the corresponding angles of the lines would be equal.

Given the angles;

Angle 2 equals (2x+5) degrees Angle 3 equals 85 degrees

We have that;

Angle 2 = Angle 3

Substitute the values

2x + 5 = 85

collect like terms

2x = 85 - 5

2x = 80

Make 'x' the subject by dividing both sides by 2

2x/ 2 = 80/ 2

x = 40 degrees

Thus, the value of x is 40 degrees

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Please answer the 2 question in photo [ Brainliest + easy points ]

Answers

1.) The angle in the first picture is a right angle. Right angles are 90° angles, so think of them as 90° right turns (this will help you remember them).

2.) The angle in the second picture is 180.° This is by the definition of a straight line. Think of this like a circle cut into 1/2; a circle is 360,° so 360/2 = 180.

A parallelogram has an AREA of 7 square units. If the height that corresponds to a base is 14 units, what is the base?

Answers

Answer:

b = 0.5

Step-by-step explanation:

a = b x h

7 = 14b  Divide both sides by 14

0.5 = b

your friend says that you can write any equation in slope-intercept form. is your friend correct? explain.

Answers

Answer:

almost.

Step-by-step explanation:

You can write almost every linear equation in slope-intercept form.

Slope-intercept form is:

y = mx + b

So every line except a vertical line can be written in the form y=mx+b.

This form cannot be used when m is undefined.

10. Two of the greatest rainfalls ever recorded were on, July 4, 1956.
In Unionville, Maryland it rained 1.23 in. in 1 min. In Curtea-de-
Arges, Romania on July 7, 1889 it rained 8.1 in. in 20 min. If it
had rained for 20 min in Unionville at its same record pace, what
would be the difference between the two rainfall amounts?

Answers

Answer:

The difference would be Unionville would have had 24.6 in. of rain and Arges only had 8.1 in

Step-by-step explanation:

during math class, you find the length of a right triangle's hypotenuse with a theorem created long ago. who do you have to thank for that theorem?

Answers

The length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = the hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

We need to find the length of a right triangle's hypotenuse with a theorem created long ago.

What is a Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

The Pythagoras theorem equation is expressed as, c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Therefore, the length of a right triangle's hypotenuse with a theorem created long ago is c² = a² + b², where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

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write an equation of the line . through (1,-2);parallel to 2x=3y+4

Answers

Answer:

y = 2/3x - 8/3

or 2x = 3y + 8

Step-by-step explanation:

2x = 3y + 4

3y = 2x - 4

y = 2/3x - 4/3

If two lines are parallel, their slopes are equal

if m = 2/3, y = -2, x = 1

y = mx + b

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3 = -8/3

y = 2/3x - 8/3

or 3y = 2x - 8

or 2x = 3y + 8

Let g(x) = {2x + 4 if x < −1, x + 4 if x ≥ −1.
Find the value of g^-1(-1)

Answers

The inverse of a function when x = -1 is g^-1(-1) = -5/2

Inverse of a function

Linear functions are function that has a leading degree of 1. Given the expression below;

g(x) = 2x + 4

Determine the inverse

y = 2x + 4

Replace y with x

x = 2y + 4

Make y the subject of the formula

2y = x - 4

y = (x-4)/2

g^-1(x) = (x-4)/2

Substitute x = -1 into the equation

g^-1(x) = (-1-4)/2

g^-1(-1) = -5/2

Hence the inverse of a function when x = -1 is g^-1(-1) = -5/2

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The price of a watch was increased by 20% to £162.
What was the price before the increase?

Answers

Answer:

120% = 162

10% = 13.5

100% = 135

so it's £135

hope this works :)

What is the equation of the line?
y=-12+1
Oy=2x-1
O y=-2z+1
Oy=-z-1

Answers

Answer:

y = -1/2 x + 1.

Step-by-step explanation:

The slope is -1/2.

The y intercept is at y = 1

So, it's

y = -1/2 x + 1.

Get 15 points and 1 Thanks if ur answer is correct.

Answers

Answer:

1 3/4

Step-by-step explanation:

OK but what if brainliest instead

Answer:1 3/4

Step-by-step explanati

The circumference is 25 ft I have to find what X is for my radius
R= -4x-5

Answers

The value of x based on the information given about the circumference is 2.24.

How to illustrate the information?

It should be noted that the circumference is calculated as:

= 2πr

where

π = 3.142

r = radius = 4x - 5.

Circumference = 25

Therefore, circumference = 2πr.

(2 × 3.142)(4x - 5) = 25

6.284(4x - 5) = 25.

25.136x - 31.42 = 25

Collect like terms

25.136x = 25 + 31.42

25.136x = 56.42

x = 56.42 / 25.136

x = 2.24

Therefore, the value of x based on the information given about the circumference is 2.24.

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Enlarge triangle A by scale factor 1.5 with centre (0,2)

Answers

Scale factor 1.5

Let O (0,2)  as the centre of enlargement

A (0, 0)

B (-2, 0)

C (-2, 4)

Step 1:

First draw lines from point O through A, B and C, as shown in the image attached below

Step 2:

Measure the length O A and multiply it by 1.5 to get the distance from O of the image point A';

<=> O A' = 1.5 × O A.

<=> OA' = 1.5 * [tex]\sqrt{2^2}[/tex]

<=> OA' = 1.5*2

<=> OA' = 3

Mark the point A' on the diagram

Step 3:

The images B' and C' can then be marked in a similar way and the enlarged triangle A' B' C' can then be drawn.

OB' = 1.5OB

<=> OB' = 1.5 *[tex]\sqrt{( 2^2+2^2}[/tex]

<=>  OB' = 1.5*2[tex]\sqrt{2}[/tex]

<=> OB' = 3[tex]\sqrt{2[/tex]

OC' = 1.5*[tex]\sqrt{2^2+2^2}[/tex]

<=> OC' = 1.5*2[tex]\sqrt{2[/tex]

<=> OC' = 3[tex]\sqrt{2}[/tex]

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Given negative four and one sixth times negative three and fifteen hundredths, determine the product.

Answers

The resulting product of the expression is 13 1/8

Product of fractions

Fractions are written as a ratio of two integers

Given the following expression

-4 1/6 * -3 15/100

Convert to improper fraction to have:

-25/6 * -315/100

-1/6 * -315/4

315/24

13 1/8

Hence the resulting product of the expression is 13 1/8

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find the indicated value for the given function. f(4) =|2x-7|

Answers

Answer: 1

I did this problem a couple times and got 1 every time

The measure of an angle is 56.3°. What is the measure of its complementary angle?

Answers

Answer:

33.7

Step-by-step explanation:

Complementary angles are angles that when added, sum up to 90*

First, make the equation, x being the missing angle
90*= x + 56.3

Rewrite the equation to find the missing angle
90 - 56.3 = x

x= 33.7

Answer:33.7°

Step-by-step explanation:

To find the complement of an angle, subtract that angle's measurement from 90 degrees. The result will be the complement

90° - 56.3°

=33.7°

Which graph shows the function f(x) = x with an input of f ?

A coordinate plane with a line passing through (negative 4, negative 1), (negative 3, 0), and (0, 3).

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

A coordinate plane with a line passing through (negative 1, negative 3), (0, 0), and (1, 3).

A coordinate plane with a line passing through (negative 3, negative 2), (0, 0), and (3, 1).

Answers

Using translation concepts, the graph that shows that function f(x) = x with an input of f(x - 3) is given by:

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

What is the missing information?

The input of the function, of f(x - 3), is missing.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the function is:

f(x) = x.

The translation is in the input, f(x - 3), meaning that the function is shifted 3 units right and defined by:

f(x - 3) = x - 3.

Hence three points on the graph are:

x = -2, f(x) = -5.x = 0, f(x) = -3.x = 3, f(x) = 0.

Hence the correct description is:

A coordinate plane with a line passing through (negative 2, negative 5), (0, negative 3), and (3, 0).

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Answer:

D

Step-by-step explanation:

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