Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.

Answers

Answer 1
No, because side 11 is greater than the sum of the two other sides.
Answer 2

Answer:

No, this triangle is not possible

Step-by-step explanation:

By the Triangle Inequality Theorem, it should be that:

a + b > c,

a + c > b,        ⇒         a, b, and c are sides of this triangle

b + c > a

~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~

4 + 6 > 11,

4 + 11 > 6,        ⇒         Here 10 is not greater than 3rd side and thus    

11 + 6 > 4                                        doesn't form a triangle


Related Questions

help ASAP 20 POINTS!!!!!!!

Answers

Answer:

fraction 2/3

decimal 0.66666

percentage 66.70%

Step-by-step explanation:

Hope this helps.

Answer:

Fraction Die: 1/6

Decimal Die: 0.16 or 0.2

Percentage Die: 16.6% or 17%

Fraction Spinner: 1/2

Decimal Spinner: 0.5

Percentage Spinner: 50%

Step-by-step explanation:

There are two of each color in the spinner, so it is a 50% chance of getting yellow.

There are 6 faces in the die so the chance of getting a 4 is 1/6

Guyss please help me with this question. I tried a thousand times but it's still incorrect.

Answers

Answer: [tex]17.68cm[/tex]

Step-by-step explanation:

Using the area formula of a cone, find the height first.

[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]

Solve for h,

Begin by dividing by [tex]\pi r[/tex]

[tex]\frac{A}{\pi r}=r+\sqrt{h^2+r^2}[/tex]

Subtract r.

[tex]\frac{A}{\pi r}-r=\sqrt{h^2+r^2}[/tex]

Square both sides.

[tex](\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2[/tex]

[tex](\frac{A}{\pi r}-r)^2=h^2+r^2[/tex]

Subtract [tex]r^2[/tex]

[tex](\frac{A}{\pi r}-r)^2-r^2=h^2[/tex]

Extract the square root.

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}[/tex]

[tex]\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h[/tex]

Plug in your values.

[tex]\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h[/tex]

Solve;

[tex]\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{(18.67cm)^2-(8cm)^2 } =h[/tex]

[tex]\sqrt{348.57cm^2-64cm^2}=h[/tex]

[tex]\sqrt{284.57cm^2}=h[/tex]

[tex]15.77cm=h[/tex]

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

Now, to find the slant height use this formula: [tex]l=\sqrt{h^2+r^2}[/tex]

[tex]l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm[/tex]

Which number has the least value?

Answers

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

The number that has the least value is given as -13.142.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.

Write all the numbers in one equivalent form as below,

⇒ |-10.869| = 10.869

⇒ -14⁶/₇ = -14 + 6/7 = -13.142

⇒ 9.21

⇒ |-10.25| = 10.25

It is clear from the equivalent form that the least value is -13.142.

Hence, the the least value number is obtained as -13.142.

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PLEASE HELP!! WILL GIVE BRAINLIESTTTT
Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

Jackie randomly picks some clothes.

What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?

Answers

2/13+2/13+2/13

= 6/13

Step-by-step explanation:

The probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt is given by P ( A ) = 22.22 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.

Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.

So , There are a total of 3 x 3 x 4 = 36 possible outfits.

The number of outfits with the specified choices is:

2 (choices of shoes) x 2 (choices of pants) x 2 (choices of shirts) = 8

Therefore, the probability that Jackie chooses an outfit consisting of the specified choices is:

8 / 36 = 2 / 9 ≈ 0.2222 or about 22.22%

Hence , the probability is P ( A ) = 22.22 %

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15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively ​

Answers

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

Find the parallelogram.

Answers

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Mary had 45 blue ribbons for every 15 yellow ribbons. If she bought 30 yellow ribbons how many blue ribbons will she need?

Answers

Answer:

90 blue ribbons

Step-by-step explanation:

Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:

A) ƒ(x) = (6x + 1)2

B) ƒ(x) = (1∕6x + 1)2

C) ƒ(x) = 6(x + 1)2

D) ƒ(x) = 1∕6 (x + 1)2

Answers

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Fun Tees is offering a 30% discount on all merchandise. Find the discounted price of a T-shirt originally priced at $16. Solve in at least two ways.

Answers

Answer:

Step-by-step explanation:

Discount = % discount × cost price given.

Discounted price = cost price - discount

% discount = 30%

cost price given = $16

Discount = % discount × cost price given.

= (30/100) × $16

= $4.8

Giveaway price = $16 - $4.8

= $11.2

I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor

Answers

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation:

Carys is checking her tax bill for the last year

Answers

Answer:

i dont under stand the question

Step-by-step explanation:

A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.


Determine the probability that the card is an E

Answers

Answer: 1/10 or 10%

Step-by-step explanation:

The required probability that the card is an E will be 0.1%.

What is probability?

A Probability can be defined as the ratio of favorable outcomes to the total number of events.

P(E) = Number of favorable outcomes / total number of outcomes

A set of cards has sample =  U E A R Q H C H L A

Total number of sample s(n) = 10

We need to find the probability that the card is an E

For probability for  E,

  p(E)= 1 / 10 = 0. 1%

Thus, the required probability that the card is an E will be 0.1%.

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range math questions

Answers

Answer:

Quiz 4 = 72

oldest = 75

Step-by-step explanation:

The range is the largest minus the smallest

27 = 99 - smallest

99-27 = smallest

72 = smallest

Quiz 4 = 72

The range is the largest minus the smallest

35 = largest - 40

Add 40 to each side

35+40 = largest

75= largest

oldest = 75

Solve for x. 2x + 3 =9

Answers

Answer:

x=3

Step-by-step explanation:

- 3 on both sides

2x=6

divide by 2 on both sides

x=3

Answer:

x = 3

Step-by-step explanation:

[tex]2x+3=9[/tex]

Subtract 3.

[tex]2x=9-3\\2x=6[/tex]

Divide by 2.

[tex]x=\frac{6}{2}\\ x=3[/tex]

please help me i really need to pass.

Answers

The answer is B. Because X and Z are considered congruent.

Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Answers

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Liza comes to the swimming pool once every 6 days. Jenny comes once every 4 days and Olga comes once every 10 days. This Monday all of them were in the pool.
How many days after this Monday will all of them meet at the swimming pool again?

Answers

Answer:

60 days

Step-by-step explanation:

L.C.M. of 6,4,10=60

as 6=2×3

4=2×2

10=2×5

L.C.M. =2×3×2×5=60

after 60 days they will again together.

I need help to find the volume

Answers

Answer:

224ft^3

Step-by-step explanation:

l*w*h= volume

Answer:

The Volume is 224

Step-by-step explanation:

w * h * l

distance between two points: what is the distance between 2, -3 and 8, -9?

Answers

Answer:

6sqrt(2) units

Step-by-step explanation:

Distance² = (-9 - -3)² + (8 - 2)²

Distance² = (-6)² + 6²

Distance² = 36 + 36

Distance² = 72

Distance = 6sqrt(2)

sqrt: square root

The distance between 2 and -3 is 5, and the distance between 8 and -9 is 17

-25z+1+35z=10z+1 how mu

Answers

The question is unfinished but if it’s supposed to be evaluated the answer is 0.

What is the slope of the line that passes through the points (2, 3) and (-2, 6)?

Answers

Answer:

Step-by-step explanation:

(6-3)/(-2-2) = -(3/4)

Answer:

-3/4

Step-by-step explanation:

You use the slope formula y2 - y1

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

                                             x2- x1

Plug the numbers in and subtract, simplify if possible.

WHen you plug it in it should look like this.   6 - 3            3

                                                                         ----------  = -  ---

                                                                         -2 - 2            4  


What is the volume of a cube with a side length of 5 cm?
A) 10 cm3
B) 15 cm3
C) 25 cm3
D) 125 cm3

Answers

Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

Answer:

[tex]125 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = b \times h \times l \\ = 5 \times 5 \times 5 \\ = 125 {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what will happen to the volume of a cylinder if the length if the height is tripled?

A. Double
B. Stay the same
C. Triple
D. 9 times as large

Answers

Answer:

Triple

Step-by-step explanation:

V = π * r^2 *h

h is directly proportional to V so when h increases V increases.

This is a linear relationship so if h is tripled the volume will be tripled as well.

if r tripled then V would be 9 times as large since r has a square relationship with V.

If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.

what is the volume of the solid​

Answers

Answer:

204 cubic feet

Step-by-step explanation:

The formula for the volume of a rectangular prism is simply to multiply together the length, width, and height. In this case, 6*17*2=204 cubic feet. Hope this helps!

Answer:

do 16x17 divided by 2

Step-by-step explanation:

:)

What is the slope of the line that passes through (1,-19) and (-2,-7)?

Answers

The formula for the slope of a line is m = (y2 - y1) / (x2 - x1).

Point 1 = (1, -19)

Point 2 = (-2, -7)

m = (-7 - -19) / (-2 - 1)

m = (-7 + 19) / (-2 - 1)

m = 12 / -3

m = -4

Hope this helps! :)

Please help,thank you

Answers

Answer:

The answer would be pupil

Step-by-step explanation:

Pupils tend to become bigger (dilate) in low-light situations. This allows more light into the eyes, making it easier to see, I looked it up to make sure. Pupil is the right answer.

25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5

Answers

Answer:

no solutions

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

Subtract 13 from each side

(X-2)^2/3 + 13-13 = 5-13

(x-2) ^2/3 = -8

Raise each to the 3/2 power

(x-2) ^2/3  ^3/2= -8^3/2

(x-2) = (-512) ^1/2

We cannot take the square root of a negative number and remain in the real number system

There are no solutions

Answer:

No real solutions

Imaginary/complex solutions:

x = 2 +/- 16sqrt(2)i

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

(X-2)^2/3 = -8

(X - 2)² = (-8)³

X - 2 = +/- sqrt(-512)

No real solution

x = 2 +/- 16sqrt(2)i

(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5

[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5

(-512)^⅓ + 13 = 5

-8 + 13 = 5

5 = 5

please help quickly !

Answers

Answer:

75-52.5 =x

Step-by-step explanation:

We know that the total amount they eat is 75

They eat 52.5 is acacia leaves.  The rest is other types of leaves

75 - 52.5 = other types of leaves

75-52.5 =x

PLSSS HELP!! WILL GIVE BRAINLIEST!

Answers

Answer:

Although it's blurry, I believe y is equal to 3.

Step-by-step explanation:

You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.

Answer:

y =  [tex]2 \frac{11}{12}[/tex] gallons

Step-by-step explanation:

The water run at a constant speed with the slope of 5/12.

Slope-intercept form would be y = 5/12x.

So if we were to plug it in the equation,

y = 5/12 (7) = 35/12 or 2 11/12.

Hope this helps ;D

Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?

Answers

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

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