A triangle has two sides of length 17 and 16. what is the smallest possible whole number length for the third side?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

One property of a triangle is that the sum of any two sides of a triangle is greater than the third side. Therefore, if the third side was represented by x, this would mean that :

17 + x > 16

16 + x > 17

17 + 16 > x

Since 17 is already greater than 16, there is no limit on x there. However, because 16 is 1 less than 17, x must be greater than 1. Furthermore, since 17+16 is 33, x must be less than 33. Therefore, the smallest whole number that fits these conditions is 2.


Related Questions

what is the volume of a cone with a radius of 12 and a height of 8?

Answers

Answer:

Volume of a cone= [tex]\frac{1}{3} \pi r^{2}h[/tex]

=[tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]×144×8

=[tex]\frac{22}{21}[/tex]×144×8

=1206.86[tex]cm^{2}[/tex]

Step-by-step explanation:

Find the equation of the line passing through the point (-1,5) and perpendicular to
the line y = - 3x + 4.

Answers

Answer:

1/3x+16/3

Step-by-step explanation:

Perpendicular equations slope is the negative reciprocal of the original problem.

So, the slope of the new equations is 1/3

1/3(-1)+b=5

b= 16/3

(1.9)2 standard form

Answers

Answer:

-4

Step-by-step explanation:

hope this helps

have a great day/night :)

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?

Answers

Answer:

-1/13

Step-by-step explanation:

The slope of a line is calculated as rise/run.

The rise is the difference in y-values, and the run is the difference in x values

slope= y₂ - y₁/x₂ - x₁

let (26 , 7) be (x , y) and (-39 , 12) be (x₂, y₂)

slope= (12 - 7)/ (-39 -26)

        = 5/-65

reduce the fraction to get -1/13

A. B.

C. D.

This is urgent!!!

Answers

Answer:

1/8

Step-by-step explanation:

( 2^-1 / 2^0) ^3

First simplify inside the parentheses

We know that a^b / a^c = a^(b-c)

2^(-1-0) = 2^-1

( 2^-1 ) ^3

Then we know that a power to a power is

a^b^c = a^(b*c)

2^(-1  *3)

2^ -3

Then a negative exponent makes it a fraction

a^ -b = 1/a^b

1 /2^3

1/8

Can I please have help on 3, 4 will mark brainiest thank you.

Answers

Answer:

4) Alternate angles

Step-by-step explanation:

Alternate angles are on the opposite corners of the line of the angle, and 10 and 14 are on opposite corners, so that makes them alternate angles. I hope this helped you!

HELP PLSSS

Is this relation a function? Justify your answer.
11
10
2
1
5 6 7 8 9 10 11
O A. No, because two points with the same y-value have different x-
values.
OB. Yes, because every x-value corresponds with a single y-value.
O C. Yes, because every x- and y-value is positive.
O D. Yes, because the number of x-values is the same as the number of
y-values.

Answers

The correct answer would be 2


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

6.5

Step-by-step explanation:

I need this done quick please help

Answers

Answer:

you have to use proportion equation

please answer with method you did please fast​

Answers

Answer:

LM = 8 cm

Step-by-step explanation:

LM = KN = x + 7

NM = KL = x + 7 + NQ = x + 7 + 2 = x + 9

KN×NM = 80

(x+7)(x+9) = 80

x² + 7x + 9x + 63 = 80

x² + 16x + 63 = 80

x² + 16x - 17 = 0

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

a=1

b=16

c=-17

(-16 ± sqrt(256 + 4×17))/2 = (-16 ± sqrt(256+68))/2 =

= (-16 ± sqrt(324))/2 = (-16 ± 18)/2

x1 = (-16 + 18)/2 = 2/2 = 1

x2 = (-16 - 18)/2 = -34/2 = -17

x2 as negative value is no valid solution for a side length.

so, only x1 remand as solution.

=> x=1, LM = KN = 1+7 = 8, NM = KL = 1+9 = 10

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

95-3^4=14

Step-by-step explanation:

3^4=81

95-81=14

Part A: 176

Part B: First, I did is multiple 3 to the common denominator by 4 times with the same number and that would give you a positive number of 81, then I combined 81 with 95 and your solution is 176.

Step-by-step explanation:

Part A:

-3^4 = -3x-3x-3x-3

-3^4 = 81

95+81 = 176

Helppppppppppppppppppp I’ll you brainlist if you don’t respond if you’re going to put something random I will report you !

Answers

Answer:

x = 0

y = -4

negative 4 cuz the line goes down, meaning it's negative

If <3 measures 123, what is the measure of <7?
Madison
River
A bridge crosses over the Madison River.
The opposite banks of the river are parallel
and the bridge is a transversal.
A. 90°
B. 123
C. 180°
D. 57

Answers

Answer: B

Step-by-step explanation: I just took the quiz

The measurement of angle 7 is 123°.

What are corresponding angles?

The corresponding angles are angles that have the same relative position or measurement in two similar figures. They are formed when two lines, parallel or not, are intersected by a transversal. They are located on the same side of the transversal. Corresponding angles formed by parallel lines and a transversal are congruent.

Given is scene of two parallel line intersected by a transversal,

∠3 = 123°, We need to find the value of ∠7,

We see that, the angles, ∠3 and ∠7 are corresponding angles,

Therefore,

∠3 = ∠7 by the definition of corresponding angles between parallel lines,

Therefore, ∠7 = 123°.

Hence, the measurement of angle 7 is 123°.

Learn more about corresponding angles, click;

https://brainly.com/question/1597341

#SPJ7

A coin is tossed and a spinner with three equal-sized sections labeled 3, 6, and 9 is spun. What is the probability of getting heads and a number greater than 3? Express as a fraction in simplest form.

Answers

Answer:

The answer is 1/3.

Step-by-step explanation:

A coin has either heads or tails. The odds of a coin getting heads is 1/2.

There are three equal-sized sections with numbers 3, 6 and 9 on the spinner. There are two sections with numbers greater than 3, which are 6 and 9. The odds of getting a number greater than 3 is 2/3.

To find the overall probability of both incidents occurring, the two fractions are multiplied together, which is 1/2 * 2/3 = 1/3

Answer:

0.333/1/3

Step-by-step explanation:

Well, the probability of getting heads is 1/2 since there are 2 sides to a coin. There are 2 numbers on the spinner greater than three (6,9) which is 2/3.

1/2 times 2/3=0.33. The probability of getting heads and getting a number that is greater than is 0.333 or 1/3.

3 m
7 m
10 m
4 m 1 m
d the volume of the entire figure by adding the volumes of the separate

Answers

Answer:

Total Volume = 190 m³

Step-by-step explanation:

Volume of the entire figure = L (Area 1  + Area 2)

where L = 10 m

Area 1 (blue prism) = 4 x 3 = 12 m²

Area 2 (brown prism = 1 x 7 = 7 m²

plugin  values into the formula:

Volume of the entire figure = L (Area 1  + Area 2)

                                            = 10 (12 + 7)

                                            = 120 m³ + 70 m³

                                            = 190 m³

The answer is 190cm ^3

Green River State Park had 312,684 visitors in one summer. Blue Sky State Park had 441,902 visitors.
1. How many fewer visitors did Green River State Park have than Blue Sky State Park? 2. Ashlee said that both state parks had a total of 753,586 visitors. Is Ashlee correct? Explain your reasoning.

Answers

Answer:

1. 129,218 fewer vistors than Blue Sku State Park

2. Ashley is not correct, since 441902 + 312684 is 754,586; not 753,586. She made a mistake on the thousands place, which she probably added one extra on accident.

Step-by-step explanation:

Oki, subtract for question one:

441902 - 312684 = 129218

Add for two:

441902 + 312684 = 754586

For problem, number two; I recommend writing it in your own words instead of copying off mines.

identify the domain of the function shown in the graph

Answers

Your answer is going to be c

What is the measure of ∠4?

Answers

Answer:

80 degrees

Step-by-step explanation:

angle 1 is equal to 100 because of the law of exterior angles. And since andgle 1 and 2 make 180 degrees we can subtract 80 from 100 and we get the measure of angle 2. Angle 2 and 4 are the same becasue of the law of adjacent angles.

What is the slope of the line represented by the equation y = 4/5x - 3?

Answers

Answer:

The slope is 4/5 and the y intercept is -3

Step-by-step explanation:

The equation is in slope intercept form

y= mx+b where m is the slope and b is the y intercept

y = 4/5x -3

The slope is 4/5 and the y intercept is -3

The original price of a computer was reduced by $250.
If p= the computer’s original price in dollars, which algebraic expression represents the reduced price?


a. 250p
b. 250 + p
c. p - 250
d. 250 - p

Answers

Answer:

the awnser is c. p-250 + p

answer is c
hope this helps

Help me please!!! I really need it!

Answers

Answer: The value of x can be either 5 or 10.

Step-by-step explanation:

We are given:

Total profit, P = $5600

The given equation follows:

⇒ P = 600 + 1500x - 100x²

Putting value of P in above equation, we get:

⇒ -100x² + 1500x + 600 = 5600

⇒ -100x² + 1500x - 5000 = 0

⇒ 100x² - 1500x + 5000 = 0

Solving this equation by middle term split, we get:

⇒ 100(x² - 15x + 50) = 0

⇒ (x² - 10x - 5x + 50) = 0

⇒ x(x - 10) - 5(x -10) = 0

⇒ (x - 10)(x - 5) = 0

⇒ x = 10, 5

Hence, the value of x can be either 5 or 10.

HELP VERY URGENT!!!!!!

Answers

Answer:

Step-by-step explanation:

D is greater than -2

Answer:

A, C, D

Step-by-step explanation:

All of them have a larger x-coordinate than -2.

A = .5

C = -1

D = -1.5

Hope that this helps!

HELP PEASE I WILL MARK BRAINLIEST ASAP !!!

Find the measure of the arc.
с
А
146°
E
B
mÉFD = [?]°

HELP PEASE I WILL MARK BRAINLIEST ASAP !!!

Answers

The answer is 270 because there is a 90° angle and 146n

Graph the linear function passing through point B with a slope of -2

Answers

Answer:

sorry but that will go off so need the area rl

tell it in the comments!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP #2

Answers

Answer:

The circle

Step-by-step explanation:

A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the sides are joined up). The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.

Answer:

A circle

Step-by-step explanation:

A polygon is a closed figure on a plane, a circle is curved, it cannot be formed from line segments.

In the graph above, the coordinates of the vertices of ATUV are T(4,4), U(2,-2), and V(6,-2). If ATUV is reflected
across the y-axis to create ATU'V', what are the coordinates of U?
A. (-6,-2)
B. (-4, 4)
C. (-2,-2)
D. (-2, 2)

Answers

The correct answer is is b

Please I have been waiting for an answer. somebody help me I give brainlist

What is the value of x in this figure?

Enter your answer in the box.

Answers

Answer:

x = 114

Step-by-step explanation:

114 and x are vertical angles, therefore they are congruent.

Answer:

Vertical Angles are equal so 114

Step-by-step explanation:

Jay volunteers at a food bank he volunteered 2 5/6 hours on Saturday 2 1/3 hours on Wednesday how many hours did he volunteered in all

Answers

Answer:

5 1/6 hours

Step-by-step explanation:

Add the hours he volunteers

2 5/6 + 2 1/3

Get a common denominator of 6

2 5/6 + 2 1/3*2/2

2 5/6 + 2 2/6

4 7/6

This is an improper fraction

4 6/6 + 1/6

5 1/6


PLEASE HELP!! GIVEN THE FOLLOWING TABLE OF DATA FROM A QUADRATIC EQUATION
the last numbers are 9/7 and 10/16​

Answers

The roots: this is when y=0, so in yours there are 2 roots. Just look at the x value when y=0 and that is your roots.

Y intercept- this is when x=0, so just look at the y value below x=0 and that is the y intercept. Note the answer will probably be in the form (0,_)

Vertex=do you see a pattern? Well the vertest would be the highest or lowest point of the quadratic equation. Your vertex would be (5,-9) because just look at x=4 and x=6, bit of the y values are -8 and when you look at x=3 and x=7 they are also the same because this is a quadratic equation.

Max or min: yours is a minimum because (5,-9) is the lowest point. Every value left and right of this are higher up the graph, so this would be a minimum.

*something that will help you see this all more clearly is if you graphed this or put it into Desmos to see the vertex etc.

Solve the simultaneous equation
2x-4y=19
3x+5y=1
Plz help me I’ve been stuck on this for a while 20 points

Answers

Answer:

x=4.5

y=-2.5

Step-by-step explanation:

Multiply 2x-4y=19 by 3

Multiply 3x+5y=1 by 2

Solve simultaneously

Answer:

[tex]x=\frac{9}{2} =4.5, y=-\frac{5}{2} =-2.5[/tex]

Step-by-step explanation:

[tex]2x-4y=19, multi ply- by 5\\10x-20y=95 , Eq I\\3x+5y=1, multiply - by 4\\12x+20y=4, Eq II\\Add -EQI -and- EqII\\\\10x-20y+12x+20y=95+4\\22x=99\\x=\frac{99}{22}=\frac{9}{2} =4.5\\3(\frac{9}{2})+5y= 1\\5y=1-\frac{27}{2} =-\frac{25}{2}\\y=-\frac{25}{2}*\frac{1}{5} =-\frac{5}{2} =-2.5\\[/tex]

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