Does 6 8 15 form a triangle?.

Answers

Answer 1

No, it is not possible to draw a triangle.

This will be done by the property: the sum of two sides of a triangle should be more than the third side.

(6cm + 8cm) =15cm

14cm = 15cm

LHS<RHS

A triangle is not possible.

A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.

In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.

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Related Questions

What is the gradient of y =- 2x 3?.

Answers

Gradient of given equation x-intercept: a=−32 y-intercept: b=3

The gradient of a function is defined to be a vector field. Generally, the gradient of a function can be found by applying the vector operator to the scalar function. (∇f (x, y))

The given equation of line:

y=2x+3

Comparing above equation with the standard slope-intercept form

y=mx+ c,

we get

Slope:

m=2

Now, given equation can be re-written as

2x−y=−3

x−32+y3=1

Comparing above equation with intercept form:

x a + y b =1,

we get

x-intercept:

a=−32

y-intercept:

b=3

Now, the given straight line intersects the coordinate axes at

(−32,0) & (0,3)

Specify these points on XY-plane & join them by a straight line to get plot.

Gradient of given equation x-intercept: a=−32 y-intercept: b=3

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On Saturday, the vacation reort offer a dicount on both activitie. To take a urfing leon and go paraailing cot $130. That day, 25 people take urfing leon, and 30 people go paraailing. A total of $3,650 i collected. What i the dicounted price of each activity?

Answers

A discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.

Let x represent the discounted cost per person for a surfing class.

Let y represent the reduced cost per person for surfing instruction.

The cost of taking a surfing lesson and going parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

Thus, a discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.

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Find and simplify the function (fg)(x)

Answers

The product between functions f(x) and g(x) is:

(fg)(x) = x^3 - 4x^2 - 16x + 4

How to write the product of functions?

Here we have two functions:

f(x) = x - 4

g(x)  = x^2 - 16

We want to find the product:

(f times g)(x)

So we just need to take the product between the two functions:

(x - 4)*(x^2 - 16)

x^3 - 4x^2 - 16x + 4

Then the product of the functions is:

(f times g)(x) = x^3 - 4x^2 - 16x + 4

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Sid has a baseball cap collection. 75% of his caps have sports team symbols. If 24 of the caps have the team symbols, how many total caps does Sid have? 32 52 98 173

PLSSSSSS HELPPPP

Answers

The total caps does Sid have is 55% of x = 33

x = (33 * 100)/55

x = 60

What is collection?

In programming, a collection is a class used to represent a set of similar data type items as a single unit. These unit classes are used for grouping and managing related objects.A collection has an underlying data structure that is used for efficient data manipulation and storage. Code readability and maintenance improves when collections are used in logical constructs.

Collections are designed to group certain objects with a logical connection. For example, a StudentCollection object may be used to maintain university student details. Details may include the total number of students or offer a student search facility based on attributes, such as name, class or grade.

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A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 4 cheeseburgers and 3 orders of fries for a total of 4100 calories. A deluxe family meal consists of 5 cheeseburgers and 6 orders of fries for a total of 6250 calories. How many calories are in one cheeseburger? calories How many calories are in one order of fries?​

Answers

Answer:

cheeseburger: 650 caloriesfries: 500 calories

Step-by-step explanation:

You want to know the numbers of calories in a cheeseburger and an order of fries if 4 cheeseburgers and 3 fry orders have 4100 calories, and 5 cheeseburgers and 6 fry orders have 6250 calories.

Equations

If we let c and f represent the calories in a cheeseburger and an order of fries, respectively, then we can describe the calories in the two orders by ...

4c +3f = 41005c +6f = 6250

Solution

Subtracting the second equation from twice the first gives ...

  2(4c +3f) -(5c +6f) = 2(4100) -(6250)

  3c = 1950 . . . . . . . simplify

  c = 650 . . . . . . . divide by 3

Then the calories in the fries can be found by substituting in the first equation:

  4(650) +3f = 4100

  3f = 1500 . . . . . . . . . subtract 2600

  f = 500 . . . . . . . . divide by 3

There are 650 calories in one cheeseburger, and 500 calories in one order of fries.

__

Additional comment

The attachment shows solution of these equations using the matrix functions of a graphing calculator. It reduces the augmented matrix of coefficients of the equations to a form that makes the variable values apparent.

The method of solution shown above uses the "elimination" technique to eliminate the 'f' variable from the equations. We noticed that the coefficient of 'f' in the second equation was double that in the first equation, so subtracting 2 times the first from the second makes the 'f' coefficient zero. We chose that subtraction so the 'c' coefficient would end up positive.

Answer: cheeseburger: 650 calories     fries: 500 calories

Step-by-step explanation:

Hope this helps!

Mark me brainliest!

Pls and ty!

f(x)=-x^2-4x+5
find the vertex, zeros, and y-int.

Answers

The vertex, zeros, and y-intercept for the given quadratic equation f(x)=       -x² - 4x+5 are respectively,

Vertex- (2, 1)

Zeros-  (2 + i)

Y-intercept- 5

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

f(x) = y =  -x² - 4x+5

y = -x² - 4x+5

For making it perfect square, we can add and subtract square value of half of coefficient of x

So,  adding and subtracting +4 and -4 in the given equation

y = -x² - 4x+5+4-4

  = -x² - 4x+4+5-4

  = (-x +2)² +1

y-1 = (-x +2)²

So, for vertex

-x +2 = 0

x = 2

y-1 = 0

y = 1

For Zeros, y = 0

y-1 = (-x +2)²

(-x +2)² = -1

x = 2 + i,   -2-i

the zeros are imaginary

For y intercept, x = 0

y-1 = (-x +2)²

y   = 1 + (2)²

y   = 5

Hence,  vertex, zeros, and y-int. are respectively (2, 1), (2 + i), 5

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Use the graphs to evaluate the following:
1. f(1) =_
2.g (-5) =
3. f (g (1)) =
4. f(g(-1.5)) =
5.g (f(-4)) =
6. f(f(-1)) =

Answers

The value for f(1) is -2. The solution has been obtained by forming equations of graphs of functions.

What is equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

First let's find the equation f(x)

Vertex form of parabola is y = a(x-h)^2 + k

where (h,k) is the location of the vertex.

Here, h= -1 and k = -4

We get y = a(x+1)^2 -4

Now, the parabola passes through (-4,0.5)

So,

0.5 = a(-4+1)^2 -4

We get a=0.5

Thus, f(x) is 0.5(x+1)^2 - 4

So, f(1)= 0.5(1+1)^2 - 4

⇒f(1)= 0.5*4 - 4

⇒f(1)= 2 - 4

f(1)= -2

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Since the question contains multiple questions, the question I answered is

Use the graphs to evaluate the following:

1. f(1) =_

To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.

Answers

The circumcenter of the triangle is at the point (22, 36). This is the point where the three thin strips of wood cross and where Mike attached the kite's string.

How to calculate the circumcenter of the triangle ?

The point of concurrency of the lines perpendicular to the sides of a triangle is known as the circumcenter of the triangle. To find the circumcenter of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3), you can use the following formula:

x = (x1 + x2 + x3) / 3

y = (y1 + y2 + y3) / 3

Plugging in the coordinates of the three vertices, we get:

x = (0 + 44 + 0) / 3 = 22

y = (58 + 36 + 0) / 3 = 36

So the circumcenter of the triangle is at the point (22, 36).

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PLSsSS I NEED HELP (and pls give the right answer)

Answers

The volume of right prism is equal to 464 cubic inches.

How to determine the volume of a beam-like right prism

Volume of right prisms (V), in cubic inches, is equal to the product of cross area (A), in square inches, and height (h), in inches:

V = A · h

According to figure, cross area is the result of adding the areas of three rectangles. Area formula for rectangles is:

A' = w · l

Where:

w - Width, in inches.l - Length, in inches.

First, determine the cross area of the prism:

A = 2 · (3 in) · (7 in) + (4 in)²

A = 42 in² + 16 in²

A = 58 in²

Second, calculate the volume of the right prism:

V = (58 in²) · (8 in)

V = 464 in³

The right prism has a volume of 464 cubic inches.

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What happens when there is a negative number in a square root?.

Answers

The Real Numbers collection does not contain the square root of a negative number. truly intended. Mathematicians "created" a new number, i, to address this issue.

Since it was not part of the set of "Real Numbers," this number was referred to as an "imaginary number."

Can a number's square root be negative?

With the exception of zero, all numbers have positive and negative square roots. The positive square root, abbreviated as b, is the principal square root. Write b to denote the negative root, and b to denote both roots.

How is a negative square root solved?

Theorem: Square Roots of a Negative Number Simplifying an expression involving the square root of a negative number by simplifying the number as if it were a positive number and putting an i in front of it as a coefficient is one method. To put it another way, x=ix x = i x for every x where x is a positive number and where x is a negative number.

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What is the solution of the equations 8x +3y 5 and 3x 2y 5?.

Answers

The solution of the equation 8x + 3y = 5 and 3x + 2y = 5 is x = -5/7 and y = -7/24

In math the term called equation is defined as a mathematical statement that shows that two mathematical expressions are equal

Here we have given that the equation 8x + 3y = 5 and 3x + 2y = 5 and we need to solve the equation to find the values of x and y.

in order to solve the equation we have to multiply 2 with the equation (1), then we get,

=> 16x + 6y = 10

And then we have to multiply 3 with the equation (2), then we get,

=> 9x + 6y = 15

Now, we have to subtract these two equation then we get,

=> 7x = -5

=> x = -5/7

Then the value of y is calculated as,

=> 8(-5/7) + 3y = 5

=> -40/7 + 3y = 5

=> 3y = -35/40

=> 3y = -7/8

=> y = -7/24

Therefore, the solution is found.

Complete Question:

What is the solution of the equations 8x + 3y = 5 and 3x + 2y = 5?

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How do you do thissss‍♀️..?

Answers

Answer:

the answer is A because you can know

Two cards are selected, without replacing the first card, from a standard deck. Find the probability that both cards are sevens.

Answers

The probability that both cards are sevens is 0.0044
What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

There are 52 cards, 4  are sevens.  

So the probability of picking the first 7 is 4/52.  

If you don't replace the card, then there are only 51 cards left, 3 of which are sevens.

So the probability of picking a seven on the second draw is 3/51.  

The probability of picking sevens on both draws is:

P(picking two sevens) = (4/52)·(3/51) =0.076*0.058=0.0044

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Jada had 30 dollars to spend on 3 gifts. She spent 10
9
10
dollars on gift A and 4
3
5
dollars on gift B. How much money did she have left for gift C?

Answers

She has 16 left for gift C.
30-14=16
16 dollars left that how much she save

Carl's BBQ is increasing the amount of fries in their family value meal by 10%. If there were originally 16 ounces of fries in the family value meal, how many are there after the increase?​

Answers

Answer:

17.6

Step-by-step explanation:

What is the main difference between an expression and a polynomial class 8?.

Answers

Expression and polynomial are both mathematical terms that are used to represent mathematical equations.

An expression is any combination of symbols, numbers, and operations that represent a value or a quantity. Expressions can be represented as algebraic equations, numerical equations, or verbal phrases.

A polynomial is a specific type of expression that is composed of one or more terms with each term containing a power of a single variable. A polynomial can be represented with a single variable or multiple variables.

A formula is an expression or equation that represents an idea or a relationship between two or more variables. A calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

In summary, an expression is any combination of symbols, numbers, and operations that represent a value or quantity, while a polynomial is a specific type of expression composed of one or more terms with each term containing a power of a single variable.

A formula is an expression or equation that represents an idea or relationship between two or more variables, while a calculation is the actual process of evaluating an expression or equation to determine a numerical value or answer.

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How many domestic stamps do I need for an international letter?.

Answers

You need only Two stamp. If you are tranfering from the United States of America to the United States of America, you just have to pay $0.550 for a Domestic Forever Stamp. Your letter will reach the destination within 1 to 3 working days.

How cool is that? Just 50 cents for such quick delivery should be truly cherished

Carry in mind though, that this covers the first ounce. As soon as your wrapper goes over that weight, you need to add an extra 15-20 cents per ounce onto the price.

Do not stress, we’re going to know this in more detail

There are following requirements that your envelope must fit to be eligible for posting this way. These rules are as follows:

1. The envelope needs to be at least 4-5 inches by 3.5 inches but not much bigger than 11.5 inches by 6.125 inches, and no thicker than ¼ inches.

2. It needs to have a constant thickness.

3. It must be rectangular.

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At a school play, 750 tickets were sold. Each adult paid $0.75 admission and each minor paid 50 cents. How many adults attended if the receipts were $437.50?

Answers

Answer:

583 adults.

437.50/.50 = 583.333333333

Step-by-step explanation:

Hope it helps! =D

Classify this triangle by its sides and angles.

A.) right and scalene
B.) acute and scalene
C.) right and equilateral
D.) acute and equilateral

Answers

Answer: acute and scalene

Step-by-step explanation:

we can see from the figure that no side has an angle greater than 90°. Therefore triangle must be an acute angled triangle

Also given in the figure that no two or all sides are equal that is all sides are of different length which means it is a scalene triangle

Hence the answer is acute and

Tomo is making brownies.

He has 4/3 cups of sugar.
He needs 1/3 cup of sugar to make one whole batch of brownies.

Use the drop-down menus to complete the statements below about the brownies that Tomo can make.

Answers

Tomo can make more one whole batch of brownies. Tomo can make exactly four batch(es) of brownies with the sugar he has.

How to determine the true and complete statement?

Based on the information provided, we can logically deduce the following parameters:

Number of cups of sugar is equal to 4/3 cups of sugar.

Number of cups of sugar to make one whole batch of brownies is equal to 1/3 cup of sugar.

In order to determine the exact batches of brownies which Tomo can make based on the number of cups of sugar he has, we would divide the  number of cups of sugar by the number of cups of sugar that is required to make one whole batch of brownies as follows;

Batch of brownies = 4/3 ÷ 1/3

Batch of brownies = 4/3 × 3

Batch of brownies = 12/3

Batch of brownies = 4 batches of brownies.

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Complete Question:

Tomo is making brownies he has 4/3 cups of sugar. He needs 1/3 cup of sugar to make one whole batch of brownies. Tomo can make _____ one whole batch of brownies. Tomo can make exactly _____ batch(es) of brownies with the sugar he has.

Does the following equation has the sum of its roots as 3 3x² 3x 3 0?.

Answers

The equation -x² + 3x - 3 = 0 has the sum of the roots as 3. Given that a quadratic equation's roots add up to three.

A quadratic polynomial in terms of the zeroes (α,β) is given by

x2 - (sum of the zeroes) x + (product of the zeroes)

f(x) = x2 -(α +β) x +αβ

From the options,

A) 2x² - 3x + 6 = 0

Dividing by 2,

x² - 3/2x + 3 = 0 ------------------ (2)

Comparing (1) and (2),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

B) -x² + 3x - 3 = 0

The equation can be written as x² - 3x + 3 = 0 ------------- (3)

By comparing (1) and (3),

α + β = 3

Therefore, the sum of the roots of the equation is 3.

C) √2x² - 3/√2x + 1 = 0

Dividing by √2,

x² - 3/2x + 1/√2 = 0 ------------ (4)

By comparing (1) and (4),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

D) 3x² - 3x + 3 = 0

Dividing by 3,

x² - x + 1 = 0 -------------------------- (5)

By comparing (1) and (5),

α + β = 1

The equation's roots are added together, and the result is 1.

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Evaluate the expression when a=6 and b=4. b - 3a

Answers

-14 is the value of the expression b - 3a at a =6 and b = 4.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Find the value of $x$ .

Two right triangles are shown, triangle A B C and triangle D E F. Angle B and angle E are marked as right angles. Angle C and angle F are marked as being congruent. For triangle A B C, side A C is labeled x inches and side B C is labeled 6 inches. For triangle D E F, side D F is labeled 12 inches and side E F is labeled 8 inches.

Answers

Answer:

9

Step-by-step explanation:

x/6=12/8

x=12*6/8

x=72/8

x=9

The dot plots show the ditribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living. Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation

Answers

From the situation described in the problem: all the required values are given below.

What is a distribution?

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

Given:

The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.

The shape of the distribution:

For living species - Left-skewed distribution

For extinct species - The symmetric distribution.

Measures of the center:

For living species - mean = 2.32

For extinct species - mean = 3.02

The measures of variability:

For living species - 0.13

For extinct species - 0.55

Therefore, all the required values given above.

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Khalid and Jesse took different overnight buses. The graph shows the relationship between the total distance Khalid traveled and the time in hours. The distance Jesse traveled after x hours is given by the equation y=130x

Answers

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

How is a graph calculated?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line.

According to the graph, the climb is 140 and the run is 1.

Since 140/1 equals 140, Khalid's slope is 140.

The slope is 150 according to the equation (y = 150x; y = mx).

Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.

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Complete Question -

find an equation of the line in the form ax=by=c whose x-intercept is -18 and y-intercept is -16, where a, b, and c are integers with no factor common to all three, and a0.

Answers

x + 0.89y = -14.22
Hope this helps.

A penny is tossed twice.
What is the probability that it will land tails up both times?

Answers

the correct answer is 25% or 1/4

ratios equal to 8:14

Answers

Answer: Two equivalent ratios are, 16:28 and 24:42

Step-by-step explanation:

Please help me with 1 and 2!!!!

Answers

The solution is, 1) f+g =3x^3+x^2+2x-9 and, 2)  f+g = x^2-6x +2√(x-2)+17

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

1.) f(x) = 3x^3 -6x

            g(x) = x^2+8x-9

so, f+g

=3x^3+x^2+2x-9

and,

2.) f(x)=x^2-6x+7                                      

             g(x)=2√(x-2)+10

so, f+g

= x^2-6x +2√(x-2)+17

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Simple fly expression 4•3+4•x

Answers

The value of x is -3 for the given equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 4 *3 + 4*x = 0

Simplify the equation using PEMDAS

=> 4*3 + 4*x = 0

=> 12 + 4x = 0

=> 4x = -12

=> x = -3

Therefore, the simplified value of the Given equation is x = -3.

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Two step equations pls help with explanation Is it possible to construct a triangle whose sides are 5. 5 cm 4. 5 cm and 10 cm Yes No )?. it would be greatly appreciated if someone could help me. Write the linear equation that gives the rule for this table.X y2 263 454 645 83 mutual funds fund net asset value offering price change capital $9.01 $9.59 - .02 common $6.37 $6.64 - .04 corporate $7.72 $8.44 .03 a customer who placed an order to buy 200 shares of capital fund this day will pay: What is the meaning of participle in Urdu?. A string can withold a maximum tension of 10N. A 1kg mass is spun around at a radius of 10m using this string. What is the maximum speed that can be attained by the mass At the end of the day, a pizzeria turns off its pizza oven.The table shows the linear relationship between thetemperature of the oven and the first five minutes afterit was turned off. protest over whiskey tax, washington used domestic force to stop rebellion Match the term with the correct response.4% milkfat2% or 1% milkfatless than .02% milkfat35% to 40% milkfat15% to 18% milkfat which part comes first just like humans, dogs shiver and chatter their teeth when they are cold. the dog's nervous system and other systems interact in the temperature cycle. the result is to warm the dog to its normal temperature. What is the vapor pressure of a solution made from 23.5 g of glycerin in 130 g of methanol at 50 c? the vapor pressure of pure methanol at 50 c is 400 torr. report your answer in torr and round to the first decimal place? Amidst the COVID-19 pandemic, a major retailer is reopening its stores and running a sales ad in the Sunday newspaper. To test its pulling power, them retailer will run another ad the same day advertising an online sale. The strategy of using a(n) will help the retailer learn how quickly peop are venturing back to brick-and-mortar storesa.) combination rateb.) ROPc.) tearsheetd.) split rune.) full-position rate Elements of product strategy can include all of the following EXCEPT _______.a. the physical goodb. an intangible ideac. package designd. where the product is sold hello everyone, well i has to draw something using elements of art and principles of design.So i did this and i wanted to know if it correspond to the question. The assignment is due for tommorow so... What happens when parents favor one child over another? How is Rev. Hale being sarcastic? Which values of x make the following equation true?3x = -x^2A) x= -3B) x= 0,-3C) x= 0,3D) x= 3 PLSSSS HELP Part ESinuosity is a measure of how much a river meanders or curves. It is a ratio of the rivers entire curved length compared to a straight path from the rivers beginning to its end. According to this formula, a straight river would have a sinuosity equal to 1 because its entire length is equal to its straight-line length. A river that curves would have a sinuosity greater than one.Calculate and record the sinuosity of your river. Then, based on the diagram, rate the river as straight, sinuous, or meandering. To obtain your river length, snake a piece of string through your river bed, and then measure the strings length with your ruler. For the straight line length, measure the distance from the beginning of your river to the end along a straight path. Why did Atahualpa meet with Pizarro in 1532?.