Help me please asap :(

Help Me Please Asap :(

Answers

Answer 1
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side. 

Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5

In all, I count 9 cases. So the answer to problem 1 is 9.

-----------------------------------------------------------

For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases. 



Related Questions

What is the answer to -n+9n+3-8-8n

Answers

The answer is -5 since -n+9n-8n= 0 and 3-8= -5 
You're just adding and subtracting like terms

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g

Answers

Answer:

A=(4-g) 1.5

Step-by-step explanation:

Let g be the amount of glycerin in the lotion.  We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

Answer:

the awnser is A

Step-by-step explanation:

I did the test

WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!

Answers

29 out of 74 do not like rap

29/74 = 0.39

31 out of 74 do not like hip hop

31/74 = 0.42

0.39+0.42 = 0.81

 answer is 0.81

It's 21/31, which is 0.677419355, or 0.68 when rounding 0.677. So the answer is o.68. The brailiest answer is mine.

Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)

Answers

Final Answer:

(23.6 - 9a - 5.8b)

Explanation:

Steps to simplify the expression:

Combine constant terms:

(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a

Group terms by variable:

(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)

Combine like terms:

19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a

Rewrite the expression with the simplified terms:

(19.6 - 10b) + 2a

Therefore, the equivalent expression is (19.6 - 10b) + 2a.

Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?

Answers

Four out of nine. There are 4 even numbers from 1-9
The answer is 4/9 because there are 4 even numbers between 1-9. And there are 9 cards

The quotient of (x^5-3x^3-3x^2-10x+15) and a polynomial is (x^2-5). What is the polynomial

Answers

Answer:

The polynomial is [tex]x^3+2x-3[/tex].

Step-by-step explanation:

The quotient stands for division, so when we are told that the quotient of [tex]x^5-3x^3-3x^2-10x+15[/tex] and a polynomial, we have to think of a division which result is [tex]x^2-5[/tex]. The goal of this exercise is to find the value of such polynomial that is divisor.

Solving for the divisor

We can write the quotient in a general way using proper naming as follows:

[tex]\cfrac{\text{dividend}}{\text{divisor}}=\text{result}[/tex]

Solving for the divisor we have

[tex]\text{dividend}=\text{divisor} \times\text{result}\\\cfrac{\text{dividend}}{\text{result}}=\text{divisor}[/tex]

So the goal is to work with that division to find the polynomial, that is

[tex]\cfrac{x^5-3x^3-3x^2-10x+15}{x^2-5}[/tex]

Long division

In order to set up for long division, we have to realize that the dividend or numerator has not the [tex]x^4[/tex] term, so we can fill it with [tex]0x^4[/tex]

So we will have

[tex]x^5+0x^4-3x^3-3x^2-10x+15[/tex]

Please check the attached image file to see the steps for the long division that will be explained here in text.

The first step is to divide always the first term of the dividend that is the [tex]x^5[/tex] by the first term of the polynomial we are dividing by, that is [tex]x^2[/tex], so we get

[tex]\cfrac{x^5}{x^2} =x^3[/tex]

We write that on top and then we multiply it times the polynomial we are dividing by that is

[tex]x^3(x^2-5) = x^5-5x^3[/tex]

We write that below the dividend and proceed subtracting each column, that will give us

[tex]2x^3-3x^2-10x+15[/tex]

So we can continue with the division, just looking at first terms we get

[tex]\cfrac{2x^3}{x^2}=2x[/tex]

Then we continue multiplying

[tex]2x(x^2-5) = 2x^3-10x[/tex]

And we write that below as can be seen on the attached image, so the subtraction of each column give us

[tex]-3x^2+15[/tex]

Finally we can work with the last division of first terms.

[tex]\cfrac{-3x^2}{x^2}=-3[/tex]

And we write that -3 on top, and we multiply

[tex]-3(x^2-5) = -3x^2+15[/tex]

And work with the last division and we get 0. Getting 0 is a way to verify that there is no remainder and that our work is correct for the quotient.

Lastly the expression on top is the original polynomial of the quotient, we can conclude that the polynomial is [tex]x^3+2x-3[/tex]

Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K

Answers

The sketch of the garden and the pond is shown below

Area of garden = length × width
Area of garden = [3x + 5] × 3x
Area of garden = 3x[3x+5]
Area of garden = 9x² + 15x

Area of pond = [x-2] × x
Area of pond = x[x-2]
Area of pond = x² - 2x

Area to be re-sod = Area of garden - Area of pond
Area to be re-sod = 9x² + 15x - [x² - 2x]
Area to be re-sod = 9x² - x² + 15x + 2x
Area to be re-sod = 8x² + 17x

The amount of sod needed to be bought would depend on how much in each packaging they are being sold.

A six-sided die with sides numbered 1 through 6 is tossed 2 times. What is the probability that the product of the two toss results will be even?

Answers

Final answer:

The probability of the product being even when two six-sided dice are rolled is 3/4 or 0.75, since there is a 1/2 chance of rolling an even number on each die, and the only way to have an odd product is if both dice show odd numbers.

Explanation:

To solve this problem, we will find the probability that the product of two rolls of a six-sided die is even. The product of two numbers is even if at least one of the numbers is even. In the case of a six-sided die, there are 3 even sides (2, 4, 6) and 3 odd sides (1, 3, 5).

For the first roll, the probability of rolling an even number is 3 out of 6, or 1/2. The second roll is independent of the first, so the probability of rolling an even number again is also 1/2. To find the probability that at least one roll is even, we can use the complement rule which states that the probability of an event 'E' is 1 minus the probability of the event's complement. The only way not to get an even product is to roll two odd numbers.

The probability of rolling an odd number on the first toss is 3/6, and similarly 3/6 for the second toss. Therefore, the probability of both being odd is (3/6) × (3/6) which simplifies to 1/4. Hence, the probability of at least one die being even (and therefore the product being even) is 1 - 1/4 = 3/4.

The final answer is that the probability of getting an even product from two rolls of a six-sided die is 3/4 or 0.75.

The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?

Answers

Assume the bigger number is x, since the difference is 18, another one should be x - 18

So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81

Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81

Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)

Answers

use subsitution


m+5n=20
m=n-4

sub n-4 for m in other equation

n-4+5n=20
6n-4=20
add 4 both sides
6n=24
divide by 6 both sides
n=4

sub back

m=n-4
m=4-4
m=0

(m,n)
(0,4)

Answer:

(m,n) = (0,4)

Step-by-step explanation:

We have

          m + 5n = 20 -----------------------eqn 1

          m = n - 4 ----------------------------eqn 2

eqn 1 - eqn 2

        m + 5n - m = 20 - ( n- 4 )

         6n = 24

           n = 4

Substituting in eqn 2

           m = 4 - 4

            m = 0

So the correct set is (0,4)

(m,n) = (0,4)

4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0

Answers

Final answer:

The question provided is a fifth-degree polynomial equation in mathematics, specifically algebra, which requires solving for variable x. Higher-degree polynomial equations like this may require numerical methods or synthetic division to solve. The solutions may include both real and complex numbers.

Explanation:

The given question is a polynomial equation that requires solving for the variable x. In mathematics, specifically in algebra, solving polynomial equations can sometimes be achieved through factoring, applying the rational root theorem, or using synthetic division. However, the provided equation 4x5 – 12x4 + x3 – 52x2 – 60x – 16 = 0 is a fifth-degree polynomial, which might not have a straightforward solution method such as factoring or simple root identification.

To solve higher-degree polynomials, one can use numerical methods, attempt to factor by grouping (if that results in a solvable factorization), or apply the synthetic division repeatedly to find possible real roots. If the equation can be factored down to quadratic factors, the quadratic formula ax² + bx + c = 0 could be applied to find the roots of those quadratic factors. It's important to note that a fifth-degree polynomial will have five roots according to the Fundamental Theorem of Algebra, which can be real or complex numbers.

Other examples provided in the question seem to be related to solving quadratic equations or conditions for quadratic expressions which are not directly applicable to the fifth-degree polynomial but showcase general algebraic problem-solving techniques.

what is a function?

Answers

it is an expression involving one or more variables

 examples:

2x +5

x^2

a+b


Find the area of a triangle with a base of 10 meters and a height of 6 meters

Answers

A = (1/2)bh  [b = 10 m, h = 6 m]

A = (1/2) * 10 * 6 = 30 m²
area of triangle=1/2 times base times height
given
base=10
height=6

area=1/2 times 10 times 6
area=5 times 6
area=30 squaer meters

True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Answers

Final answer:

A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.



To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.



Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

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6.
(05.05 LC)
A company rents gym equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting gym equipment for x number of days:

Gym Equipment Rentals
Number of Days
(x) (y)

0 25
1 40
2 55

What is the fixed amount charged? (1 point)


$2

$15

$25

$40

Answers

The fixed amount is a price you pay before using equipment. So, it is the price you pay at the 0-th day: 25$.

Then, after one you pay 15 more dollars (25+15=40), and after another day you pay 15 extra dollars again (40+15=55).

So, we can see that the pattern is that you start from $25 (fixed price), and then you pay $15 per day (renting price per day)

Answer:

The answer is 25

Step-by-step explanation:

i did the quiz :)

the difference of 3 times a number and 20 is greater then 10

Answers

If the number is x, then 3 times x -20 >10 and 3x-20>10. Adding 20 to both sides, we get 3x >30 and by dividing by 3 we get x >10

-6•(-18).......help this is due tomorrow

Answers

two positives multiplied together give us a positive answer. and 18 • 6 is 108.
108 is the answer
hope this helped, xx
-6·(-18)

Remember : A negative times a negative is a POSITIVE.

So, the negatives cross each other out.

So, we simply pretend that there are NO negatives in this question.

So, what is 6 × 18?

6 × 18 = 108

Therefore, -6·(-18) = 108

~Hope I helped!~

Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2

Answers

The area of rectangle ABCD would be 80.

answer for 10 points/other drop downs are x value and y values

Answers

This does represent a function because x values can have the same y values

Solve the system algebraically.

3x - 2y - 1 = 0
y = 5x + 4

What is the solution?


{(-9/7,-17/7)}


{(9/7,17/7)}


{(9/7,-17/7)}

Answers

3x -2(5x + 4) - 1 = 0

3x - 10x -9 = 0

3x - 10x = 9 

-7x = 9 x= 9/-7 x=-9/7

y = 5(-9/7) + 4 

y= -17/7

The answer is A

Simplify 5 • 2 • (–4) + 6 ÷ 2

Answers

Your answer is -37. (work from left to right)
PEMDAS
paranthesis
exponents/roots
multiplication/division
addition/subtraction

so your question: 5 x 2 x (-4) + 6 divided by 2

5 x 2 x (-4)= -40 
-40 / 2 = -20
-20 + 6 = -14

your answer is -14 

hope this helps :D

workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. paint in all

Answers

80% = 0.80

divide the area done by the percentage:

920/0.80 = 1150

total area is 1150 square feet

n someone answer this question for me please : how can I write repeated multiplication using powers ?

Answers

You can rewrite the number as repeated multiplication and perform the multiplication.

Solve the compound inequality. 7x > -35 and -5x > -50

Answers

7x > -35
x > -35/7
x > -5

-5x > -50
x < -50/-5
x < 10

-5 < x < 10 <==

Describe how the sizes of the 1/2 strip and the 1/6 strip compare. Then descrube how the denominators of the fractions 1/2 and 1/6 are related

Answers

this is not an answer Although writing 500 word essay may seem to be an easy task, the process can be rather daunting and tough especially if you never had an experience of writing the 500-word essay before. If you fail to deliver a good paper, it may have rather negative consequences to the detriment of the education process. For this reason, you should be well-aware of writing rules for a 500-word essay in order to avoid possible academic obstacles and failures in future. We introduce some useful tips in case you want to complete the task by yourself. If you want to save time and be sure regarding the quality of the content, you are welcome to buy a 500-word essay format from our company.

In order to have a clear understanding of how to write 500 words essay, you need to have at least the foggiest idea of what 500-word scholarship essay actually is! Let’s have a closer look at this type of the academic assignment.

The 1/2 strip is larger than the 1/6 strip because dividing something into fewer parts results in larger parts. The relationship between the denominators 2 and 6 is based on the number of equal parts into which a whole is divided, with 6 being a multiple of 2, indicating smaller parts for 1/6.

To compare the sizes of the 1/2 strip and the 1/6 strip, we should visualize the strips as portions of the same whole. Imagine a bar divided into 2 equal parts; one of those parts is the 1/2 strip. Now imagine the same bar divided into 6 equal parts; one of those parts is the 1/6 strip. It's evident that the 1/2 strip is larger than the 1/6 strip because when you divide something into fewer parts, each part is larger.

The denominators of the fractions 1/2 and 1/6 are related through the concept of divisibility and the number of equal parts into which a whole is divided. The denominator 2 in the fraction 1/2 tells us that the whole is divided into 2 equal parts, while the denominator 6 in the fraction 1/6 indicates that the whole is divided into 6 equal parts. Because 6 is a multiple of 2, each part of the 1/6 strip is smaller than each part of the 1/2 strip.

do the opposite angles in a parallelogram have the same measure please explain why

Answers

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.
Final answer:

Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.

Explanation:

Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.

In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.

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Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2

Answers

The equations presented in the choices above are all derived from the Pythagorean theorem. This states that the sum of the squares of the two shorter sides is equal to the square of the longest side which is also referred to as the hypotenuse. 

If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A. 

Answer:

it is abtuse triangle

Step-by-step explanation:

no step

Which of the following are properties of the incenter of a triangle? Check all that apply. A. The incenter is where all of the bisectors of the angles of the triangle meet. B. The incenter of a triangle is always inside it. C. The incenter of a right triangle lies on the side opposite the right angle. D. The incenter is where all of the perpendicular bisectors of the sides intersect.

Answers

Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect. So, the correct options are A) and B).

Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect.

According to the definition of incenter the correct statement from the given options will be:

A). The incenter is where all of the bisectors of the angles of the triangle meet.

B). The incenter of a triangle is always inside it.

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Option A and B

Incenter of a Triangle Properties:

A. The incenter is where all of the bisectors of the angles of the triangle meet.B. The incenter of a triangle is always inside it.

Step-by-step explanation:

The incenter is where the angle bisectors intersect, making choice A true.The incenter lies inside the triangle, making choice B accurate.The incenter doesn't necessarily lie on the right triangle's side opposite the right angle, making choice C incorrect.The incenter is not where all the perpendicular bisectors of the sides intersect, making choice D false.

Which set of side lengths is a Pythagorean triple?

Answers

D because it will fit into the equation and will make a 90 degree angle
D

11² = 121
60² = 3600
121 + 3600 = 3721
√3721 = 61

An auditorium has 40 rows. the first row has 20 seats and each row after has 2 additional seats. How many seats are there total?

Answers

This is an arithmetic sequence of the form:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number

The sum of an arithmetic sequence is the average of the first and last terms times the number of terms.

s(n)=(a+a+d(n-1))(n/2)

s(n)=(2a+dn-d)(n/2)

s(n)=(2an+dn^2-dn)/2

We are told that the initial term a=20 and that the common difference, d=2 so:

s(n)=(40n+2n^2-2n)/2

s(n)=(2n^2+38n)/2

s(n)=n^2+19n, so for 4o rows the total number of seats will be:

s(40)=40^2+19(40)

s(40)=1600+760

s(40)=2360

Answer: 20, 22, 24, 26

An arithmetic sequence

a1=20

d=2

98 seats

an arithamtic series

2,360 total seats

Step-by-step explanation:

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