Which of these lengths CANNOT represent the sides of a triangle? {28, 30, 58} {32, 34, 60} {13, 20, 27} {2, 4, 5}

Answers

Answer 1

Answer:

[tex]A.\ {28, 30, 58}[/tex]

Step-by-step explanation:

Required

Which of the lengths do not form a triangle

To do this, we make use of triangle inequality theorem which states that.

[tex]a + b > c[/tex]

[tex]b + c > a[/tex]

[tex]a + c > b[/tex]

Where [tex]a,\ b\ and\ c[/tex] are the sides of the triangle.

So, we have:

[tex]A.\ {28, 30, 58}[/tex]

[tex]28 + 30 > 58[/tex] --- False

[tex]58 + 30 > 28[/tex] --- True

[tex]28 + 58 > 30[/tex] --- True

[tex]B.\ {32, 34, 60}[/tex]

[tex]32 + 34 > 60[/tex] -- True

[tex]32 + 60 > 34[/tex] -- True

[tex]34 + 60 > 32[/tex] -- True

[tex]C.\ {13, 20, 27}[/tex]

[tex]13 + 20 > 27[/tex] -- True

[tex]13 + 27 > 20[/tex] -- True

[tex]20 + 27 > 13[/tex] --- True

[tex]D.\ {2, 4, 5}[/tex]

[tex]2 + 4 > 5[/tex] --- True

[tex]2 + 5 > 4[/tex] -- True

[tex]5 + 4 > 2[/tex] --- True

From the computations above, only (A) cannot form a triangle


Related Questions

Dmitri's mom is making him a tent to use for backyard camp outs with his friends.

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Answer:

The answer is 21.4.

Step-by-step explanation:

Hope this helps!

Answer:

21.4 is correct =)

Step-by-step explanation:

how do I solve x-11/2<-7

Answers

Answer:

x < -3

Step-by-step explanation:

1. multiply both sides by 2

2. isolate the x by adding 11 to both sides

3. simplify

(i have included an attachment showing the work for clarification)

Please help me bruvs, it's all greatly appreciated.

Answers

Answer:

D. (x+1)^1/3

Step-by-step explanation:

f(x) = x³-1 is the same as y = x³-1

Replace x with y, and y with x =

x = y³ - 1

y³ = x + 1

y = ∛(x+1)

or y = (x+1)^1/3 (d)

_____________________

#IndonesianPride - kexcvi

Answer:

(x + 1)^1/3 (D)

Step-by-step explanation:

x = y^3 - 1

y^3 = x + 1

y = (x + 1)^1/3

Hope this help!

Help please! Will give brainiest if correct!
Find the slope of the line. Write your answer in simplest form.

Answers

Slope is 3/4
You are welcome

Answer:

find the two points on the graph and do rise over run

Step-by-step explanation:

go to point (-2,0) and then go up and over to point (2,3)

What type of polynomial is this? 6x + 3​

Answers

Answer:

Binomial

Step-by-step explanation:

A binomial has two terms. Each term consists of a coefficient, and a variable with an exponent. We can see the two terms:

6x (the exponent would be 1) + 3 (the variable and exponent would be x to the 0. Any variable to the power of 0 is equal to 1, which is why it's not shown)

y'all I'm crying...help ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

<1 and <2 are complementary angles.the measure of <1 is 10
the Measure of <2 is 4c

Answers

Answer:

c = 20

Step-by-step explanation:

You have not really asked a question.

I will assume you are asking about the value of c.

The measure of angle 1 is 10 (assuming degrees!), so the measure of angle 2 is 80.  (Complementary angles have measures that sum to 90.)

The measure of angle 2 is also described as 4c, so 4c = 80.  That makes c = 20.

Find the circumference of a circle
with a diameter of 45.

Answers

Answer:

141.4 centimeters

Step-by-step explanation:

circumference = diameter * pi c = d * pi c = 45 * 3.1416 c = 141.4 (rounded)

Answer:

C= 141.37

Step-by-step explanation: go0gle

X = 10
3.2 + 5y = 20
What is the solution (x, y) of the system of equations?

Answers

I can’t see the question

HELp MeEeeEEE!!!

I will give Brainliest!!

Answers

Answer:

1: the answer is 6x

2: its 39

Step-by-step explanation:

for 1 I I used 8 x X = 8x - 2 = 6x.

for 2 all I did was substrac 3 out of 42 which gave me 39

Good luck

The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
this histogram.
Glasses of Water Drank
Number of Days
72 3-4 5-6 7-8
Number of 8-ounce Glasses
Based on this histogram, which statement must be true?
A On exactly 2 of these days, Shane drank 1 to 2 glasses of water.
BOn exactly 3 of these days, Shane drank 7 to 8 glasses of water,
C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.
Don exactly 60% of these days, Shane drank 5 to 6 glasses of water

Answers

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

The boiling temperature (in degrees Celsius) of platinum is 199 more than four times the boiling temperature $z$ (in degrees Celsius) of zinc.
a. Write an expression that represents the boiling temperature (in degrees Celsius) of platinum.
b. The boiling temperature of zinc is 907 degrees Celsius. What is the boiling temperature of platinum?

Answers

Answer: THIS IS SO HARD!

Step-by-step explanation:

The required boiling temperature of platinum is 3,739 degrees Celsius.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
a. Let's start by defining a variable for the boiling temperature of zinc, which we'll call z.

According to the problem statement, the boiling temperature of platinum is 199 more than four times the boiling temperature of zinc. In other words,

Boiling temperature of platinum = 4z + 199

So the expression that represents the boiling temperature of platinum in degrees Celsius is:

4z+199

b. The problem tells us that the boiling temperature of zinc is 907 degrees Celsius. So we can substitute this value for z in our expression:

4z+199 = 4(907)+199 = 3,739

Therefore, the boiling temperature of platinum is 3,739 degrees Celsius.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

40 POINTS!! RIGHT ANSWERS ONLY PLEASE!!

The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent more than 4 days?


Probability Distribution
Days Absent: X 0 1 2 3 4 5
Probability: P(X) 0.78 0.14 0.03 0.01 0 0.04


A
0.25

B)0.04

C)0.004

D)0.05

Answers

Three rare coins with diameters of 7/8 inch, 3/4 inch, and 5/8 inch are mounted in a rectangular frame, as shown in the diagram below. What is the perimeter of the frame if the coins fit exactly?

Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?

Answers

Answer: 7 hours

Step-by-step explanation: Driving one kilometer per hour, all you have to do is divide 700/100 to get your answer which is seven.

Plz help I was in the hospital and I am behind in math now. How do I show my work for this?!

Answers

Answer:

-16

Step-by-step explanation:

[tex]28-(\sqrt{44} )^2\\28 - (44)\\-16[/tex]

When you square a square root, the number inside is the answer.

Tara is the costume manager for a large theater company she has 15 different hats, including 6 berets what’s is the probability that a randomly chosen hat from taras inventory will be a berets

Answers

Answer:

2/5

Step-by-step explanation:

probability it is  a beret = total number of berets / total number of hats

6/15

To transform to the simplest form. divide both the numerator and the denominator by 3

2/5

Hi so i have a question that is..... A pool is in the shape of a right rectangular prism and has a volume of 192 cubic feet. The area of the base of the pool is 32 square feet. Could anyone help me?

Answers

Answer:

h = 6 feet

Step-by-step explanation:

Given that,

The volume of a right rectangular prism = 192 cubic feet

The area of the base of the pool is 32 square feet.

We need to find the height of the prism. We know that the volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

We have, V = 192 cubic feet, lb = 32 sq feet

So,

[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{192}{32}\\\\=6\ feet[/tex]

So, the height of the prism is equal to 6 feet.

Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2

Please answer ASAP

Answers

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

567 ÷ 12 with working out

Answers

Answer:

Step-by-step explanation:

567 ÷ 12

= 47.25

Answer:

47.25

Step-by-step explanation:

What are the solution(s) of -1/2X+4= X+ 1?

O-1 and 8
О 1 and 4
O 2
O 3

Answers

Answer:

X = 2

Step-by-step explanation:

-1/2X+4= X+ 1

Add 1/2X to each side

-1/2X+ 1/2 X+4= X+ 1 + 1/2 X

4 = 3/2 X +1

Subtract 1 from each side

4-1 = 3/2 X +1-1

3 = 3/2 X

Multiply each side by 2/3 to isolate x

3 * 2/3 = 3/2 X * 2/3

2 =X

HELP, thanks.... If a triangle has side lengths of 3 inches and 4 inches, what must be true of the third
side?
a. The third side must be greater than 7 inches
b. The third side must be equal to or greater than 7 inches
c. The third side must be less than 7 inches
d. The third side must be less than or equal to 7 inches

Answers

Answer:

In a triangle the sum of any two sides must be greater than the third side. We have 3+4=7 which is less than 8. So this triangle is never true.

b. The third side must be equal to or greater than 7 inches

Step-by-step explanation:

pleae mark this answer as brainlest

A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?​

Answers

Answer:

a(4) = 1.5(-36) = -54

Step-by-step explanation:

a(1) = -16 is given.

a(n) = 1.5*a(n-1).  

a(2) = 1.5(-16) = -24

a(3) = 1.5(-24) = - 36

a(4) = 1.5(-36) = -54

[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]

A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?

[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]

[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

X x K i m 0 2 x X

write 4,193,538 in word form.

Answers

Answer:

four million, one hundred ninety three thousand, five hundred thirty eight

Step-by-step explanation:

Answer:

Four million, one hundred ninety-three thousand, five hundred thirty-eight

Step-by-step explanation:

Can someone help me pls?

Answers

Answer:

[tex]sa = \pi {d}^{2} \\ = {6}^{2} \pi \\ = 36\pi \\ [/tex]

N=36

Answer:

Answer attached

Step-by-step explanation:

Show work please! Herald is keeping track of eagles. To do so, he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were tagged. Find the best estimate for the Eagle
population?

Answers

Answer:

188

Step-by-step explanation:

16/120=0.133

0.133 times 100=13.3%

this means 25 eagles is only 13.3% of the population

therefore 25/0.13=188

JL is a common tangent to circles M and K at point J. If angle MLK measures
619, what is the length of radius MJ? Round to the nearest hundredth. (Hint:
Show that triangles LMJ and LKJ are right triangles, and then use right triangle
trigonometry to solving for missing sides of the right triangles.) (10 points)

pls help

Answers

Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

The length of radius MJ is 5.99 units

How to calculate the radius MJ?

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

Read more about line of tangents at:

https://brainly.com/question/6617153

Factor the expression completely.
15x2 - 40x-15

Answers

Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

The figure shows five polygons: ABCDE, FGHIJ
, KLMNO, PQRST, and UVWXY.
Polygon
cannot be mapped onto the others by similarity transformations.

Answers

Answer:

PQRST

Step-by-step explanation:

This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.

Answer:

PQRST

Step-by-step explanation:

EMERGENCY PLS HELP: Calculate the volume.

Answers

Answer:

[tex]525\pi[/tex]

Step-by-step explanation:

Volume of a cylinder is given by the function [tex]v=\pi r^{2}h[/tex]

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

[tex]\frac{10}{2} =5=r[/tex]

now we just plug the values in the formula

[tex]v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi[/tex]

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π

Rian is packing toys in boxes. Each box is 3 inches by 4 inches by 6 inches. Each toy takes up 65% of the volume of the box, and the rest of the volume of the box is filled with foam packing beads. What is the volume, in cubic inches, of the foam packing beads used to fill each box

Answers

9514 1404 393

Answer:

  25.2 in³

Step-by-step explanation:

The volume of the box is ...

  V = LWH

  V = (3 in)(4 in)(6 in) = 72 in³

__

65% of the box is filled with a toy, so the remaining 100% -65% = 35% is filled with packing beads. The volume of packing beads required is ...

  0.35 × 72 in³ = 25.2 in³

25.2 in³ of foam packing beads are used to fill each box.

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