Mathematics High School

Jeff collects toy cars. they are displayed in a case that has 4 rows. there are 6 cars in each row. how many cars does jeff have?

Answers

Answer 1

24.

6 Cars * 4 Rows = 24 Cars

Answer 2

6 x 4 = 24

hope this helps you

Related Questions

What is 8/25 as a percentage?

Answers

I think the answer would be 32%

You know that a certain trait occurs in 30% of the population. You want to know how many individuals you have to draw from the population, on average, to get three subjects with the trait.

Answers

Final answer:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution. The average number of trials until the third success can be calculated by dividing 1 by the probability of success.

Explanation:

To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution.

The probability of success (finding an individual with the trait) is 30% or 0.30, and the probability of failure is 70% or 0.70.

To calculate the average number of trials until the third success, you divide 1 by the probability of success:
1 / 0.30 = 3.33

Therefore, on average, you would have to draw from the population about 3.33 individuals to get three subjects with the trait.

Learn more about Calculating average number of trials here:

https://brainly.com/question/14335882

#SPJ11

SERIOUSLY NEED HELP WITH THIS QUESTION.
The cube in the image has a volume of 1,000 cubic feet. The other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height. What is the volume of the tilted solid?
800 cubic feet

1,000 cubic feet

1,200 cubic feet

2,000 cubic feet

Answers

The answer is 1000 cubic feet either. The reason for that is fallowing:
Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.

what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that the volume of cube is 1,000 cubic feet.

The volume of cube is

[tex]V=a^3[/tex]

[tex]1000=a^3[/tex]

[tex]a=10[/tex]

The side length of cube is 10 feet.

It is given that the other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height.

The area of tilted solid is

[tex]V=\text{Area of base}\times \text{height}[/tex]

Since height and base are same, so the area of tilted solid is

[tex]V=(10 \times 10)\times 10=1000[/tex]

The volume of the tilted solid is 1,000 cubic feet. Therefore the correct option is 2.

Suppose
cos(π/2−x) =3/5, cos x =4/5
find sin, tan, csc, sec, cot

Answers

Final answer:

To find the values of sin, tan, csc, sec, and cot, we use trigonometric identities and given information. Sin x = 3/5, tan x = 3/4, csc x = 5/3, sec x = 5/4, and cot x = 4/3.

Explanation:

To find the values of sin, tan, csc, sec, and cot, we can use the trigonometric identities. From the given information, we know that cos x = 4/5. Using the Pythagorean identity, sin² x = 1 - cos² x, we can find sin x as:

sin x = sqrt(1 - (4/5)²) = sqrt(1 - 16/25) = sqrt(9/25) = 3/5

Now, we can calculate the remaining trigonometric values:

tan x = sin x / cos x = (3/5) / (4/5) = 3/4

csc x = 1 / sin x = 1 / (3/5) = 5/3

sec x = 1 / cos x = 1 / (4/5) = 5/4

cot x = 1 / tan x = 1 / (3/4) = 4/3

Find the lowest common denominator for the set of fractions: 6/a^2-7a+6 and 3/a^2-36

Answers

Answer:

(a-6)(a-1)(a+6)

Final answer:

The lowest common denominator for the fractions [tex]6/(a^2-7a+6)[/tex] and [tex]3/(a^2-36)[/tex] is (a-6)(a-1)(a+6).

Explanation:

To find the lowest common denominator for the fractions [tex]6/(a^2-7a+6)[/tex] and [tex]3/(a^2-36),[/tex] we need to determine the least common multiple of the denominators.

The denominator of the first fraction can be factored as (a-6)(a-1) and the denominator of the second fraction can be factored as (a-6)(a+6).

The common factors are (a-6) and (a-1)(a+6).

Therefore, the lowest common denominator is (a-6)(a-1)(a+6).

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.

Answers

1) y-intercept => x = 0, => y = f(0) = 0 - 0 + 0 - 36 = -36

2) x-intercept => y = 0 => factor the function (start by dividing by x -2)

f(x) = (x-2)(x-3)(x-6) =0 => x =2, x = 3, x = 6 (these are the x-intercepts)

3) critical points:

between x = 2 and x = 3, there is a local maximum

between x =3 and x = 6 there is a local minimum

3) Shape.

The function comes growing from - infinity.

In the third quadrant the function is negative (it does not pass throuhg the second quadrant)

It enters to the fourth quadrant intercepting the y-axis at y = -36. It continues growing and intercepts the x-axis at x = 2.

It continues increasing until a maximum local positive value, starts to decrease, intercepts the x-axis at x = 3, continues decreasing, becomes negative, gets a local minimum in the fourth quadrant, starts to increase, intercepts the x-axis at x = 6, becomes positive, and continues growing.

If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sale tax?

Answers

10% = $25.00 / 10
= $2.50

1% = $25.00 / 100
$0.25

Add them together to get 11%.

$0.25 + $2.50 = $2.75

Please make this the brainiest answer :3.

Sales tax is $ 2.75

Further Explanation

How to calculate

Tax = $ 25.00 x (11/100)

Tax = $ 25.00 x 0.11

Tax = $ 2.75

Initial purchase of $ 22.25 + 11% Tax ($ 2.75) = $ 25.00

Or other alternatives:

11% tax

n = sales tax value

11% = $ 25.00 / n

n = $ 25.00 x 11%

n = ($ 25.00 x 11) / 100

n = $ 275/100

n = $ 2.75

So, the sales tax is $ 2.75

Sales tax (VAT) is tax before Value Added Tax (VAT) and is charged each time a sales transaction. A VAT is charged at the manufacturer level / not to retailers (end users). A VAT is collected when delivering goods or services.

Definition of Tax Debt

Debt is an engagement as a result of a special agreement called a debt payable, which requires the debtor to pay the amount of money he has borrowed from creditors.

Sales tax / value-added debt or Sales tax payable is the company's debt to the tax office for sales tax collected by the company from customers for the sale of goods/services. Sales tax rates are deposited by the tax office multiplied by sales / net sales (net sales).

Example

$ 12 cash sale including 10% VAT

Tax Amount: 10 / ÷ 100 × 12 = $ 1.2

Sales Amount: 12 - 1.2 = $ 10.8

Learn More

VAT https://brainly.com/question/2374116

Sales Tax https://brainly.com/question/2374116

Details

Class: High School

Subject: Mathematics

Keywords: VAT, Tax, Sales

Five boxes of candles contain a total of 60 candles. each box holds the same number of candles.

Answers

divide 60 by 5 and you get 12 candles

Answer:

60/5=12

Step-by-step explanation:

The first term in a sequence is x. Each subsequent term is three less than twice thw preceding term. what is the 5th term in the sequence?
A) 8x-21
B) 8x-15
C) 16x-39
D) 16x-45
E) 32x-93 ...?

Answers

I've solved it by using this sequence:
x, 2x-3,
2(2x-3)-3,
2(2(2x-3)-3)-3,
2(2(2(2x-3)-3)-3)-3
So the answer is D) 16x-45.

If m arc AB = 120°, then which of the following have measures of 60°? (pick as many as you want)

a)∠ADB
b)∠ACD
c)∠BCA
d)∠BAD
e) m arc BC

Answers

<BCA, <ADB, measures 60 degrees.

The correct answers are:

a)∠ADB; and c)∠BCA.

Explanation:

The measure of an intercepted arc is twice as much as the measure of its inscribed angle. AB corresponds with both ∠ADB and ∠BCA. Since the arc is 120°, each angle would be half of that, or 60°.

A basketball player is 15 ft horizontally from the center of the basket, which is 10 ft off the ground. At what angle should the player aim the ball if it is thrown from a height of 8.2 ft with a speed of 29 ft/s ?

Answers

the direction of path should be inclined at and angle of
sin (theta) = (10 - 8.2)/ 15 = 3 / 25
this angle is the ratio of the vertical displacement of the projectile and the horizontal displacement of the projectile.time taken to reach the top most point can found out by by using the formula v = u + at in the vertical direction
intial velocity in vertical direction = 29 sin (theta)
final velocity in vertical direction = 0
acceleration in vertcal direction = - 32 ft / s^2 so u will get the time to be 29 sin (theta) / 32
vertical displacement = [29 sin (theta)] [(29 sin ( theta)/32)] - (1/2)32 [(29 sin (theta)/32)]^ 2
horizontal displacement = [29 cos ( theta )] * 29 sin (theta) / 32
vertical displacement / horizontal displacement= 3/25
if u substitute the values u will get tan (theta) = 6 / 25

Point H is the incenter of triangle ABC. Find DH.
a. 14
b. 7
c. 18
d. 21

Answers

Final answer:

Due to a lack of information provided, the length of segment DH in the triangle ABC, where H is the incenter, cannot be determined as provided options could all be possible or might be something entirely different.

Explanation:

The question doesn't provide enough information to determine the length of segment DH. In a triangle, the incenter is the center of the inscribed circle (incircle). This is the point where all the angle bisectors of the triangle meet. Segment DH would be a line from the incenter to a point on one of the triangle's sides, in other words, a radius of the incircle. However, without more information such as the length of the sides of the triangle or its area, it isn't possible to determine the length of DH. It could be any of the provided options (14, 7, 18, 21) or something else entirely.

Learn more about Incenter of a Triangle here:

https://brainly.com/question/2279756

#SPJ12

Final answer:

The incenter of a triangle is the point where the angle bisectors of the three angles of the triangle intersect.

Explanation:

The incenter of a triangle is the point where the angle bisectors of the three angles of the triangle intersect. To find the distance DH, we can use the fact that the incenter is equidistant from the three sides of the triangle.

Let AD, BE, and CF be the angle bisectors of triangle ABC, where D, E, and F are the points of intersection with the sides.The incenter H is equidistant from each side of the triangle. So, we have DH = EH = FH.Let DH = x. Then, we have AH = 2x, BH = 2x, and CH = 2x.

Therefore, DH = x = (AH + BH + CH)/3 = (2x + 2x + 2x)/3 = 6x/3 = 2x.

Since DH = 2x, the distance DH will be twice the distance from the incenter to any side of the triangle. Without knowing the specific values of the sides of triangle ABC, we cannot determine the exact value of DH. Therefore, none of the given options (a, b, c, d) is the correct answer.

Learn more about Incenter of a Triangle here:

https://brainly.com/question/2279756

#SPJ12

The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.

Answers

V=(4/3)πr^3
(4/3)*π*5.83≈817.28323 or Rounded to the nearest tenth, 817.3

Philip charges $12 to rake the yard she charges $5 per hour to bag the piles of leaves for 2 hours what is the expression

Answers

Philip makes $22 in 2 hours

An electrician charges a $50 house call fee and $65 per hour for work

Answers

Can't fully answer this because there is no question just information but to solve your question as best as possible the equation is:

A=65x + 50

A= Answer
X = number of hours

2-5|5m-5|=-73 absoute value

Answers

solutions i found was m=4 or m=-2

Wouldn't the answer be m=4 or m=−2..

What is the solution to the equation -2n -2 / 3 =12 ? n =

Answers

the answer is n= -19/3

Which law would you use to simplify the expression (x^⁴)⁹ ?

A. product of powers
B. power of a product
C. power of a quotient
D. power of a power

Answers

the answer is
D. power of a power

x^⁴)⁹ = (x^4*9)= x^36

if you see this similar format you will recognize the equation as power of a power ^^•

Point E has a negative x-coordinate, and its y-coordinate is not 0
Where could point E be located on the coordinate plane?

Answers

Quadrants II and III

Which of the following is a factor of 3x3 + 18x2 + 27x?

9x

x3

x + 3

x - 3

Answers

I hope this helps you

3x (x^2+6x+9)

3x (x+3). (x+3)

3x. (x+3)^2

So based on the given expression above, that factor of 3x3 + 18x2 + 27x would be x + 3. So the answer is the third option. So how did we get x + 3. Firstly, we factor the given expression by 3x. So, it would look like this.
3x (x+3)(x+3). Hope this is the answer that you are looking for.

Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what number must be added to the set so that the mean of the 6 numbers is 9?

Answers

easy

median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median

if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4

so

3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another

mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5

the number added must be 5

to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234

to make the mean 9, add 5 to the set

45 equals the quotient of a number n and 3

Answers

This means that n=45(3), which is 135.

Final answer:

The equation representing the student's question is 45 = n / 3. To find n, we multiply both sides by 3, resulting in n = 135.

Explanation:

The student's question, "45 equals the quotient of a number n and 3," can be translated into a mathematical equation. The word 'quotient' indicates a division operation. We set up the equation as 45 = n / 3.

To find the value of n, we multiply both sides of the equation by 3, giving us 3 * 45 = n. Therefore, n equals 135. The solution to this problem demonstrates how to manipulate an equation to solve for an unknown variable.

In this question, 45 is equal to the quotient of a number, represented by n, and 3.

We can represent this equation as:

45 = n / 3

To find the value of n, we can multiply both sides of the equation by 3:

45 * 3 = n

Therefore, n is equal to 135.

Learn more about Solving for a Variable here:

https://brainly.com/question/28552170

#SPJ2

AT THANKSGIVING DINNER, EMMA'S FAMILY ATE 1/3 OF A PUMPKIN PIE. WHAT FRACTION OF THE PIE WAS LEFT OVER?

Answers

3/3-1/3=2/3 of pie is left over

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Total pumpkin in fraction = 1

= 1 - 1/3

= 2/3

The fraction of the pie left over is 2/3

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pumpkin pie eaten by the family = 1/3

Let the total pumpkin in fraction = 1

Now,

The fraction of the pie left over.

= 1 - 1/3

= (3 -1)/ 3

= 2/3

Thus,

The fraction of the pie left over is 2/3

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 13 feet more than the length of the shortest side. Find the dimensions if the perimeter is 125 feet

Answers

parameter is sum of all sides therefore

2x + x + x + 13 = 125
4x = 125-13
4x = 112
x = 28

A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.

Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?

Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?

Answers

2000x+1500y<=150,000 x+y<=200
is the correct option

Answer: [tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

Step-by-step explanation:

Let x be the number of loads by land carriers and y be the number of loads by air carriers.

Given: A mall distribution center processes as many as 150,000 pieces of mail each day.

Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.

[tex]2000x+1500y\leq150,000[/tex]

The loading equipment is able to handle as many as 200 loads per day.

[tex]\Rightarrow x+\leq200[/tex]

Hence, the system of inequalities represents the situation is

[tex]2000x+1500y\leq150,000[/tex]

[tex]\Rightarrow x+\leq200[/tex]

The Shelby University rose garden is a rectangular shape with an area of 192 square feet. The dimensions of the garden are x^2 feet wide by x^2– 61 feet long. How wide is the garden?
a. 3 feet c. 64 feet
b. 8 feet d. 131 feet
...?

Answers

c. 64 ft

x² = 64
(64 - 61) x 64 = 192

a student finds the slope of a line between (14,1) and (18,17). she writes 1-17/18-14 what mistake did she make?

Answers

she substract 18 from 14 she supposed to subtract 14 from 18

Answer:

Mistake was in denominator.

Step-by-step explanation:

If a line passes through two points ( a, b ) & ( c, d )

Then slope of this line will be = [tex](\frac{d-b}{c-a})[/tex]

Now we come to the question.

a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as

slope = [tex](\frac{1 - 17}{18-14})[/tex]

This formula is not the form of [tex](\frac{d-b}{c-a})[/tex]

Accurate answer should be

slope = [tex](\frac{1-17}{14-18})[/tex]

So mistake was in denominator.

Find the coordinates for the vertex of the graph of the function y = 3x^2- 12x + 12

Answers

first, you have to put the graph in vertex form by factoring. there is a GCF of 3, so take it out of the equation.
3(x²-4x+4).
now do bottoms up method.
1 × 4= 4, and -4 is the middle number.
-2 and -2 multiply to 4 and add up to -4.
factor: 3(x-2)(x-2). vertex form 3(x-2)²
vetex coordinates: (2,0)

what is the distance between 0 and 7/10?

Answers

um i think the answer would be 7/10?

Evaluate 0!÷1!.

0
1
undefined

Answers

UNDEFINED YOU CANT DEVIDE BY 0 MAN

Answer:

it is actually not undefined because of the (!), due to this the answer is 1

Step-by-step explanation:

0! 1 5! 120

1! 1 6! 720

2! 2 7! 5,040

3! 6 8! 40,320

4! 24 9! 362,880

those are the factorial calculations

Other Questions

Coach brown bought 6 basketballs for $16 each and 6 footballs for $24 each. The expression 6 16+624 gives the total cost in dollars of the basketballs and footballs. Use the distributive property to write the expression another way. Then evaluate. What aspect of culture does the following excerpt from "What For" by Garrett Hongo celebrate?"I lived for stories about the warmy grandfather told over hana cards,slapping them down on the matswith a sharp Japanese kiai."A.holidaysB.religionC.familyD.cuisine In which situation is a historian using a primary source to learn about life for the Pilgrims who established the Plymouth Colony in 1620? A.A historian views a photograph of actors depicting Pilgrim life. B.A historian reads an encyclopedia entry about Pilgrims. C.A historian watches a play about Pilgrim life. D.A historian reads a journal entry by a Pilgrim. In the 1950s, an experimental train, which had a mass of 2.50X10^4 kg, was powered across a level track by a jet engine that produced a thrust of 5.00X10^5 N for a distance of 509m.a. Find the work done on the trainb. Find the change in Kinetic energy.c. Find the final kinetic energy of the train if it started from rest.d. Find the final speed of the train if there had been no fricion. ...? The hand on a clock shows 6:00pm what is the measure of the angle Which statement describes an effect of urbanization?Living conditions improved in city centers.The middle class grew in cities.Cities became less segregated.The unemployment rate increased in cities. A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. % What does the e in the verb pensar change to in four of the six present tense conjugations? 13 tenths plus 8 tenths plus 32 hundredths =,to 2.42 If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?It includes points in Quadrant I.It includes points in Quadrant II.It does not include points in Quadrant I.It does not include points in Quadrant II. Who is the most powerful member of the house of representatives? the president of the house the house whip the speaker of the house the majority party leader Which of the following is most likely to move through the cell membrane by facilitated diffusion? A. Small lipids, B. 02, C. C02, C. Na+ To Kill a Mockingbird1. When Scout and Dill talk to Mr. Dolphus Raymond outside the courthouse, what do they learn about him?A. They learn that he only pretends to be drunk so that people do not question his choices.B. They learn that he is an extremely mean man who does not like children.C. They learn that he does not smell good, and that he really needs to take a bath.2. What is ironic about Jem's certainty that Tom Robinson will be acquitted? A. Jem missed the part of the trial where Tom confessed to the crimeB. Jem is certain his father will win because Atticus did such a good job defending Tom, but he is not worldly enough to know that no defense would be good enough in this case.C. Because Jem is so certain his father will win, the author must be alluding to the fact that Atticus will not win.3. Why do Atticus's eyes fill with tears when he sees the food offerings from the African-American community?A. His eyes fill with tears because he is extremely allergic to many of the items.B. His eyes fill with tears because he is extremely moved by their generosityC. His eyes fill with tears because he is saddened by their struggles4. Jem says that perhaps Boo Radley stays in his house "because maybe he wants to stay inside." What does Jem mean? A. Jem means that Boo is crazy and would probably come out and hurt people.B. Jem means that Boo may stay inside because he doesn't know anybody outside.C. Jem means that Boo may stay inside by choice so that he does not have to interact with people and their hate and injustice5. How does the "pinprick of apprehension" that Aunt Alexandra feels and shakes off before the pageant create suspense?A. It makes the reader believe that something bad might happen to Scout and Jem when they go to the pageant alone.B. It makes the reader think that something is going to happen to Aunt Alexandra while Jem and Scout are away.C. The "pinprick" alludes to something the reader does not know.6. How do the townspeople respond to the news of Tom's death? A. They quickly dismiss his actions as typical of an African-AmericanB. They are outraged by the way that Tom was treatedC. They demand justice for Tom7. What reasons does Atticus give for wanting Jem cleared of any charges in an actual courtroom? A. One reason he gives is that Jem is too young to go to trial for murder, and the other reason is that Scout saw Bob Ewell still alive while Jem was unconscious.B. One reason he gives is that he knows for certain that Bob Ewell fell on his knife so it wasnt murder, and the other reason is that he would fight for Jem for as long as it takes because his kids are all he has.C. One reason he gives is that he does not want this hanging over Jem's head, and the other reason is that he wants to avoid losing his children's respect.8. Why doesn't the author reveal who carried Jem into the house after the attack? A. because he doesn't want Jem to knowB. to create suspense and to keep from distracting from Jem's conditionC. it makes everyone suspicious of each other's motives9. What is one of the main and most powerful examples of irony in To Kill a Mockingbird? A. Boo Radley turns out to be an extremely shy man who saves the children.B. The people of Maycomb quickly forget about Tom Robinson.C. Scout changes her mind about being a lady.10. Scout comments that publicizing Boo Radleys part in the death of Bob Ewell would be sort of like shootin a mockingbird, suggesting that a mockingbird represents innocence. What is the literaryterm for the role played by the mockingbird in this context? A. symbolB. themeC. irony A bag cost 10.50 but you get 20 percent off how much is the bag now? The __________ clash of clans and candy crush saga are video games that exploit the real worlddigital world convergence by building huge personal-rewards psychology for players. What is a killer app?? what is the main purpose of the cartagena film festival Which of the following is the statement of the triangle inequality theorem? A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle. B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C. The longest side of a triangle is opposite the largest angle. D. The largest angle of a triangle is between the two longest sides. Yolanda and her 3 brothers shared a box of 156 toy dinosaurs. About how many Dino's did each child get? When studying history, it is important to understand bias and its possible impact on a historical narrative. Historians are a product of their various opinions and backgrounds, and the student of history must keep this in mind when studying a secondary historical source. One historian, for example, might place emphasis on the social causes of a historical event while another historian might argue for economic causes. These two points of view would have the potential to greatly impact the historical narrative told by these historians. Which of the following is the main point of the passage used here? A. There can only be a few causes of any particular historical event. B. Social causes of events are usually overshadowed by economic causes. C. A historian's narrative will reflect his or her own opinions. D. Bias should be excluded from historical analysis as much as possible.