find all possible values of x if these represent side of a triangle 2x,5-x,4

Answers

Answer 1

Answer:

-1/3 < x < 3 or x = (-1/3, 3)

Step-by-step explanation:

Given sides of a triangle:

2x, 5 - x, 4

Triangle inequality theorem:

Any side is smaller than the some of the other two.

Apply to the given triangle:

2x + 5 - x > 4 ⇒ x > -12x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/35 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3

Combine all the inequalities:

-1/3 < x < 3x = (-1/3, 3)

Related Questions

A taxi service charges $4.50 to pick someone up and then $0.75 per mile during the ride.

Part A. Write an expression that can be used to find the cost of a taxi ride for any number of miles, m.

Part B. What is the cost of a taxi ride that is 5 miles long?

Enter the correct answers in the boxes.

Answers

Part A : y=$0.75m+$4.50
Part B : $8.25

How many fifths are there in
2 1/5

a. 11 b. 10 c. 9 d. 8​

Answers

Answer:

in 2 there are 10 fifths 10 fifths + 1 fifth = 11 fifths.

Answer:

A- 11

Step-by-step explanation:

Number = 2 1/5 = 11 / 5

Fifths = 1/5

Answer = 11/5 ÷ 1/5 = 11/5 x 5/1 =11

I hope im right!!

Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?

Answers

Answer:

A

Step-by-step explanation:

(x, y) = (3, 10) . . . . Point A

answer:a is the answer i’m pretty sure sorry if i’m not correct

What is the area of this figure?

Notice that you can divide this figure into a rectangle and a triangle.

Answers

For the rectangle do 10x15 to get 150cm squared
14-10 is 4 so triangle height is 4
Width is 5 as given
4x5 is 20 divide by two as triangle so 10cm squared
150+10=160cm squared

The quantities x and y are proportional. Find the constant of proportionality, and write the equation relating the two variables (y = rx) HURRY PLEASE!!

X1 Y1
3 15
5 25
7 35

Answers

7277272727 hvsbdbn 8672

the diameter of a circle is 7 m. find its area and perimeter.Answer fast!!!!!

Answers

Answer:

Area≈38.48m²

perimeter≈43.98

The Area is 38.48 and the Perimeter is 21.99

Simplify fully

8n

10n

Answers

Answer:

The answer is 4/5

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, please?

Answer: 4/5

Step-by-step explanation: 8n/10n

8/10

4/5

A zookeeper is 6 feet tall. A young giraffe in his care is 9 feet tall.
1. How many times as tall as
the zookeeper is the giraffe?
2. What fraction of the giraffe's
height is the zookeeper's height?
(Pls help due in 40 minutes)

Answers

Answer:

Step-by-step explanation:

The giraffe is 3 times taller than the zookeeper. 2/3 the height.

Eddie opens a bank account with $1,000. Every year he doubles the amount of money in the account.

Answers

Answer:

next year he'll add $2,000. to the bank account. the total amount would be $3,000.00

Step-by-step explanation:

$1,000.00 x 2 = $2,000.00 + $1,000.00 = $3,000.00

^w^

6 + 10k = 256

Find k please!!! (Please explain how aswell!)​

Answers

Answer:

k = 25

Step-by-step explanation:

by solving it ;

10k + 6 = 25610k = 256 - 6 k = 250 / 10k = 25

i hope it helped......

Answer:

k=25

Step-by-step explanation:

6+10k=256

10k=256-6

10k=250

k=250/10

k=25

crosscheck

6+10(25)=6+250=256


I need help on both of these plss

Answers

Answer:

1. When combining 5+2+3 it equals 10; and when solving 5+(2+3) you solve what's in the parenthesis first. So the new problem is 5+(5), which equals 10.

2. Same goes for the second one, 11-2 is 9, then you just add the a because both have the same variable

hope that helped :) have an amazing day

Answer:

for 1: yes they are the same

for 2: true

Step-by-step explanation:

for 1: 5+2+3=10 and 5 +(2+3) = 10 because 2+3=5 so 5+5=10 therefore they are the same

For:2 9=11-2 because 11-2=9

If Navya babysits 12 hours she earns $48. If she babysits 18 hours she earns $72. Let y represent the total amount of money that Navya earns working x number of hours.

WRITE A EQUATION TO MODEL THE DATA!! 40 POINTS!!

Answers

I think it’s 4 dollars bc 48%12 is 4 and it’s consistent. It doesn’t matter how many hours she works she will still get the same 4 dollars an hour.

Answer:

Step-by-step explanation:

REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)

Answers

Answer:

It can hold up to [tex]1.256ft^3[/tex] of waste

Step-by-step explanation:

Given

[tex]D = 1.5ft[/tex] -- Diameter

[tex]h = 1.6ft[/tex] -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

[tex]Volume = \pi r^2h[/tex]

Where

[tex]\pi = 3.14[/tex]

and

[tex]r = \frac{D}{2}[/tex]

[tex]r = \frac{1.5}{2}[/tex]

[tex]r = 0.75[/tex]

So, we have:

[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]

[tex]Volume = 1.256ft^3[/tex]

Hence, it can hold up to [tex]1.256ft^3[/tex] of waste

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]

We have

d = 1.5 ft

h = 1.6 ft

Then

[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

HELP I have hard homework

Answers

9514 1404 393

Answer:

  b.  55°

Step-by-step explanation:

Complementary angles have a sum of 90°.

  ∠ABC +∠CBD = 90° . . . . . . the given relation

  ∠ABC + 35° = 90° . . . . . . . . . substitute the given value

  ∠ABC = 55° . . . . . . . . . . . . . . subtract 35° from both sides

  ∠ABC = ∠EBF = 55° . . . . . . vertical angles are congruent

What are the leading coefficient, constant term and degree if any of the algebraic expression (x+square root of 3)(x-square root of 3)?

Answers

Answer:

A: leading coefficient: 1; constant term: -3; degree: 2

Step-by-step explanation:

got it right on edg.

Which of the linear equations below is derived from the
following table of values?

HELP ME

Answers

Answer:

A. y=x+4

Step-by-step explanation:

I used Desmos to graph all the information and the black line (which is A) goes through all the points. See picture

This system has ______ solutions

Answers

Answer:

No solution because the lines are parallel and never intersect. If it were two perpendicular lines the solution would be where the two lines intersect.

Step-by-step explanation:

Answer:

Zero solution

Step-by-step explanation:

it is amazing. Thank alot :)

I need help with this

Answers

Answer:

what is your cam qlty

Step-by-step explanation:

Answer:

22ft^2

132 ft^3

Step-by-step explanation:

Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24

Answers

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

What is 96 divided by 7 please help is is due by midnight

Answers

Answer:

13.7 (nearest tenth)

Step-by-step explanation:

13.7142857143 is the full answer

96 divided by 7 equals 13.7142

20 pounds of beans are distributed equally into 16 bags to give out at the food bank how many pounds of beans are in each bag​

Answers

The answer is 1.25 because 20%16 is 1.25 and each bag is equal therefore it is 1.25

what is 1/9+3/5= what is the fraction

Answers

31/45


Hope this helps!!!!!

Answer:

32/45

Step-by-step explanation:

someone please pass the answers to this

Answers

Answer/Step-by-step explanation:

1. The figure is composed of a triangle and a rectangle.

Area of the triangle = ½*base*height

base = 4 ft

height = 12 - 8 = 4ft

Area of triangle = ½*4*4 = 8 ft²

Area of rectangle = length * width

Length = 8 ft

Width = 4 ft

Area of rectangle = 8*4 = 32 ft²

✔️Area of the figure = 8 + 32 = 40 ft²

2. The figure is composed of a semicircle and a triangle

Area of the semicircle = ½(πr²)

radius (r) = 3 cm

π = 3

Area = ½(3*3²) = 13.5 cm²

Area of triangle = ½*base*height

base = 3*2 = 6 cm

height = 6 cm

Area = ½*6*6 = 6 cm²

✔️Area of the figure = 13.5 + 6 = 19.5 cm²

Which expression is equivalent to 4(y + 2) ? to

Answers

Answer:

4y+8

Step-by-step explanation:

Answer:4y+8

Step-by-step explanation:

To find an equivalent expression you can just simplify this expression by multiplying the numbers in the parentheses by 4. 4y+8

Find the x and y intercepts Y-2xy+4x=1

Answers

Answer:

[tex]x = \frac{1}{4}[/tex]

[tex]y= 1[/tex]

Step-by-step explanation:

Given

[tex]y - 2xy + 4x = 1[/tex]

Solving (a) The x intercept

Let y = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]0 - 2x*0 + 4x = 1[/tex]

[tex]0 - 0 + 4 x = 1[/tex]

[tex]4x = 1[/tex]

Divide both sides by 4

[tex]x = \frac{1}{4}[/tex]

Let x = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]y - 2y * 0 + 4*0 = 1[/tex]

[tex]y - 0 + 0 = 1\\[/tex]

[tex]y= 1[/tex]

Micah jogged 8/10 of a mile. Sarah jogged 3 times this distance. How far did Sarah jog? Explain

Answers

Answer:

2.4 miles or 12/5 miles

Step-by-step explanation:

well if we take the amount Micah jogged (8/10 miles) and we multiply that by 3 in order to get Sarah's distance

it leaves us with

24/10 and that simplified will be

12/5 miles

in decimals that would be

2.4 miles

solve for f(-1), f(x)=-3+3, f(-1)=?

Answers

Answer:

0

Step-by-step explanation:

Write 0.0004891 in scientific notation.

Answers

Answer:

4.891×10^-4

Step-by-step explanation:

..................

4.891x10^-4 because it is


Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused

Answers

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

i need helppppppppppp

Answers

Answer:

157

Step-by-step explanation:

157
Give me brainliest thank you!
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