Two sides of a triangle are as follows: 2 centimeters and 5 centimeters. Describe the possible lengths of the third side

Answers

Answer 1

Answer:

3cm < Third side < 7cm

Thus third side can take any value between 3cm and 7 cm

(note: excluding 3 cm and 7 cm)

If the value are integral then possible values of third side are

4cm, 5cm,6cm

Step-by-step explanation:

This question can be solved using given by Triangle Inequality Theorem Given below.

Sum of two sides is always greater than value of third sideDifference of two sides is always less than value of third side

Given two sides are 2cm, 5cm

Sum of two sides = (2+5)cm = 7 cm

Difference of two sides = (5-2) = 3 cm

Let the third side be X

thus according to Triangle Inequality Theorem

X <  Sum of two sides of given triangle

X < 7cm  -----1

X > Difference of two sides

X > 3cm  ----1

combining expression 1 and 2 we have

3cm < X < 7cm

Thus third side can take any value between 3cm and 7 cm

(note: excluding 3 cm and 7 cm)

If the value are integral then possible values are

4c, 5cm,6c


Related Questions

Which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28

A) (-3,-2)
B) (-2,-3)
C) (0,4)
D) (4,0)

Answers

D
7•4 =28, -5•0 =0... 28+0=28

Which statement about the credibility of this source is most accurate ? A.

Answers

Answer:

C. The source is credible because it contains facts and information that are accurate.

Step-by-step explanation:

The statistics(60%) used provide facts on the topic that make the source credible

Question 24

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

Answers

Answer:

Step-by-step explanation:

Miguel worked 5 days last week. If he worked 7.2 hours on average each day, how many hours did he work for the week?

Answers

Multiply the hours per day by the number of days.

7.2*5=36 hours total

Can you answer the questions
Below please and thank you

Answers

Answer:

1. 60

2. 90

Step-by-step explanation:

Answer:

1.

1/5

2.

1/15

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST AND 35 POINTS!!!
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.

Answers

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let y= be the number

x = other number

y =2x+3

y = 2(x+1)

Set the two equations equal

2x+3 = 2(x+1)

2x+3 =2x+2

Subtract 2x from each side

3 =2

This is never true so there are no solutions

Answer:

Third option

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

Let n be the smaller number and N be the larger number

N = 2n + 3

N = 2(n + 1)

2n + 3 = 2n + 2

3 = 2 is a false statement

So, no solution

2/4 % × 70 = _____

stieliniarb kram lliw (read that backwards. may need to write it down

Answers

Answer:

3.5

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the area of the base is 19.6\text{ cm}^219.6 cm 2 and the height of the pyramid is 12.7\text{ cm}12.7 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

V = 83.0 cm^3

Step-by-step explanation:

To find the volume of the squared pyramid you use the following formula:

[tex]V=\frac{1}{3}Bh[/tex]   ( 1 )

B: base of the pyramid = 19.6 cm^2

h: height of the pyramid = 12.7 cm

you replace the values of B and h in the equation ( 1 ):

[tex]V=\frac{1}{3}Bh=\frac{1}{3}(19.6cm^2)(12.7cm)\\\\V=82.97cm^3\approx 83.0cm^3[/tex]

hence, the volume of the pyramid is 83.0 cm^3

please help me out! i have a few more of these questions, about 3

Answers

Step-by-step explanation:

The y-intercept will be (0, 1). From that point, go 4 units to the right and 1 unit down. That is your next point. Keep doing that and then connect the points to make a line. Hope this helps!

it would look like that

Which expression is equivalent to: 7^14 divided by 7^2?
A. 7^16
B. 1^7
C. 7^7
D. 7^12

Answers

Answer:

7^12  or 7 to the 12th power!

Step-by-step explanation:

[tex]7^{14}[/tex] ÷ [tex]7^{2}[/tex] = [tex]7^{12}[/tex]

14-2=12

7 stays as the base so

[tex]7^{12}[/tex]

The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

7^14 divided by 7^2

now, we have to find the expression which is equivalent to: 7^14 divided by 7^2.

so, we have,

7^14 ÷ 7^2

= 7^14 / 7^2

=7^14-2

as, we know that,

14-2=12

so, we get,

7^14-2

=7^12

as, we know,

7 stays as the base so,

7^14 ÷ 7^2 = 7^12

Hence, The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

Can you help me again pleaseee

Answers

Answer:

Take a picture of the graph too

Step-by-step explanation:

Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84​

Answers

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

Answer:

D

Step-by-step explanation:

lesser value -------    < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

HELP ASAP
You have prizes to reveall Go to your game board.
PQRS ~ KJIH.

What is the similarity ratio of PQRS to KJIH?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Answers

Answer:

NO se sorry presta atención para que no andes preguntas

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
2y - 4x = 6
y-2x = 7
A. No solution
B. More than 1 solution
C. x = 4, y = -2
D. x= -1, y = 1

Answers

Answer:

A: no solution

Step-by-step explanation:

The lines will always be 2 spaces apart

Answer:

A. No solution

Step-by-step explanation:

I graphed the equations on the graph below and noticed that the lines appear to be parallel, which means they don't intersect at any point.

If this answer is correct, please make me Brainliest!

Select the correct answer.
Solve the equation by completing the square.
x^2 - 18x + ___ = 4 + ___

Answers

Answer:

A!!!!

Step-by-step explanation:

11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?​

Answers

Answer:

34.35 liters

Step-by-step explanation:

Who is the founder of [Hoonigan]?

Answers

Answer: Ken Block ??

Step-by-step explanation:

Answer:ken block

Step-by-step explanation:

Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of f(x) shifted 5 units up.
O B. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O C. The graph of g(x) is the graph of f(x) shifted 5 units down.
O D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.

Answers

Answer: A. Shift 5 units up

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

Learn more about Function:

https://brainly.com/question/5245372

Find the value of x and y. Will mark brainliest.

Answers

Answer:

17 = x

25 = y

Step-by-step explanation:

Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $4500 , making Digitalis a profit of $383 . Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective. If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?




To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective.

Answers

Answer:

Digitalis should expect to lose money from selling processors.

The amount of loss is $112

Step-by-step explanation:

When the processor is not defective the company has 89% chance of making a profit of $383 per processor.

However,the company has 11% chance of a processor being returned ,as a result the company would not make no gain but would lose its cost of producing the affected processors.

cost per processor=selling price-profit=$4500-$383=$4117

outcome=89%*profit-11%*cost per processor=89%*$383-11%*$4117=-$112

Math question down below

Answers

Answer:

x≥7

Step-by-step explanation:

Since 7 is a closed circle, that means that the symbol will be ≤ or ≥. We can see that the graph is going to the right which means that it is >. So the final inequality is x≥7.

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

sry before I got confused

x>=7

x is greater or equal (greater than and equal to 7)

Pls help!!!!!$:):80-$/!:8:$:

Answers

Answer:

5.95

Step-by-step explanation:

[tex]2\frac{7}{10}=\frac{27}{10}=2.7\\[/tex]

3.25 + 2 7/10 = 3.25 + 2.70 = 5.95

This is urgent, please answer!


A cake has two layers as shown. Each layer is in the shape of a cube.
The bottom of the cake and the area where the two cakes meet are not frosted. How much of the cake is frosted?

Answers

Answer:

I believe it is 65 inches.

Step-by-step explanation:

If you add all the surfaces up besides the sides that are not frosted then it is 65 inches.

Which of the following does NOT make you credit worthy?

a
Making payments on time
b
Having a savings account
c
Having too much of your income already obligated in credit
d
Having a well-paying job

Answers

The answer is C. Hope this helps!(:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m
hl
What is the volume of the sphere?
10 m
20 m
30

Answers

Answer:

The volume of the sphere is 20 m

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of the cylinder [tex]= 30m^3[/tex]

Required

Volume of the sphere

First, we need to calculate the radius of the cylinder

The formula goes thus

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

By substituting 30 for V, we have

[tex]30 = \pi r^2h[/tex]

Divide through by h

[tex]\frac{30}{h} = \frac{\pi r^2h}{h}[/tex]

[tex]\frac{30}{h} = \pi r^2[/tex]

Calculating the volume of the sphere

The formula goes thus

[tex]V = \frac{4}{3}\pi r^3[/tex]

Expand Expression

[tex]V = \frac{4}{3} * \pi r^2 * r[/tex]

Substitute [tex]\frac{30}{h} = \pi r^2[/tex]

[tex]V = \frac{4}{3} * \frac{30}{h} * r[/tex]

Simplify Expression

[tex]V = \frac{4}{1} * \frac{10}{h} * r[/tex]

[tex]V = \frac{40}{h} * r[/tex]

Given that the height of the cylinder and the sphere are equal

This means that the height of the cylinder equals the diameter of the sphere.

Mathematically; This is represented by

h = D

Where D represents diameter of the sphere

Recall that D = 2r (2 * radius)

Substitute 2r for D

h = 2r

Substitute h = 2r in [tex]V = \frac{40}{h} * r[/tex]; This gives

[tex]V = \frac{40}{2r} * r[/tex]

[tex]V = \frac{40r}{2r}[/tex]

[tex]V = 20[/tex]

Hence, the volume of the sphere is 20 m

I need help on this question

Answers

Answer:

im sorry but google?

Step-by-step explanation:

i guess

Answer:

4.5 pi

Step-by-step explanation:

First find the area of a circle with the same radius

The diameter is 6 so the radius is 1/2 d = 1/2(6) =3

A = pi r^2

A = pi (3)^2

A = 9 pi

This is a semi circle of half a circle so the area is 1/2

A  of the semicircle

9/2 pi

4.5 pi

Will mark brainliest!

Answers

Answer:

48

Step-by-step explanation:

6*8 = 48

I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.

Answer:

Your answer is 48 sq. ft.

Step-by-step explanation:

Why? Because A= L(W) Therefore, A= 8(6)=48

Fine the slope of a line parallel to y=-2/5x+4/5

5/2

2/5

-5/2

-2/5

Answers

Answer:

-2/5

Step-by-step explanation:

Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.

Hope this helps!

Answer:

-2/5

Step-by-step explanation:

The slope of the parallel line is going to be the same as the original line.

Find the diameter of the object.

A circular steering wheel with radius labeled 0.8 feet.

diameter:
ft

Answers

in order to find the diameter, you multiply the radius times 2.....so you would do 0.8 times 2 which equals 1.6

The diameter of the circular steering wheel is 1.6 feet

How to determine the diameter?

The radius of the object is given as:

r = 0.8 feet

Multiply both sides by 2, to determine the diameter

d = 2 * 0.8 feet

Evaluate

d = 1.6 feet

Hence, the diameter of the circular steering wheel is 1.6 feet

Read more about diameter at:

https://brainly.com/question/17692316

PLEASEEE HELP

Which table represents a linear function

Answers

The one on the bottom left represents a linear function
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