The length of two sides of triangle are 4cm and 5cm. Between what two
measures should the length of the third side fall?

Answers

Answer 1

Answer:

1 and 9

Step-by-step explanation:

By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.

In other words, in a triangle with side lengths [tex]a, b,[/tex] and [tex]c,[/tex] we always have [tex]a+b > c.[/tex]

Applying this to this question, the other side length, [tex]x,[/tex] must satisfy the following inequalities:

[tex]4+5 > x,\\x+5 > 4,\\x+4 > 5.[/tex]

Solving these inequalities gives

[tex]x < 9,\\x > -1,\\x > 1.[/tex]

Combining these solutions, we have [tex]1 < x < 9.[/tex] Therefore, the length of the third side falls between 1 and 9.


Related Questions

help this is due tomorrow!!!

Answers

The slope of the line is 4/3 (as a fraction). Points to plot would be (0,-3) and (3,1)

Answer:

slope of line: 4/3

Step-by-step explanation:

Nonstop, one-way flight times from O’Hare Airport in Chicago and prices of a one-way ticket are shown in the scatter plot.

1. Which point appears to be an outlier? (A, B, C, or D)

2. What does this point represent? Use the graph to estimate the difference between the outlier and the predicted values.

Answers

Answer:

10. Nonstop, one-way flight times from O’Hare Airport in Chicago and prices of a one-way ticket are shown in the scatter plot. 500 vollo s o dow 375 250 125 125 250 375 500 flight time (minutes) Use the graph to estimate the difference between the biggest outlier and the predicted value. price (dollars)

Step-by-step explanation

10. Nonstop, one-way flight times from O'Hare
Airport in Chicago and prices of a one-way
ticket are shown in the scatter plot. 500 vollo s
o dow 375 250 125 125 250 375 500 flight
time (minutes) Use the graph to estimate the
difference between the biggest outlier and the
predicted value. price (dollars)

For Anya's birthday her father gave out colorful birthday hats that were cone shaped. Anya wanted to fill her hat with candy. What is the volume of candy if the hate has a diameter of 8. cm and a height of 7 cm.

Answers

The answer to this is 177.

HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1.) 28
2.) 23
3.) 9
4.) 15
5.) 23
6.) 40
7.) 25
8.) 22, 26
20, 28,9,15,23,40,25

Seth's father is thinking of buying his son a six-month movie pass for $25. With the pass, movies cost $2
each.
Write a linear equation to represent the total cost spent of Seth seeing movies for the next 6 months.

Answers

Answer:   y = 2x+25

x = number of movies

y = total cost

========================================================

Explanation:

The starting cost is $25, which is the amount spent even if no movies are watched.

Since x is the number of movies, and each costs $2, this means Seth spends an extra 2x dollars more on top of the $25 already spent.

In total, the cost is 2x+25 which leads to y = 2x+25

This linear equation is in slope intercept form y = mx+b

m = 2 = slope

b = 25 = y intercept

Y=2x + 25 is the answer

Yolanda has a box that contains 8 3/4 dozen beads. She uses 3 1/4 dozen beads for a necklace and 1 3/4 dozen beads for a bracelet. How many beads are left in the box? This is a multi-step problem.
A. 3 3/4 dozen
B. 5 dozen
C. 12 dozen
D. 13 3/4 dozen

Answers

Answer:

The answer is a bit c d

I think it’s 4 off the bus and it’s a little too far away lol lol I got it on the bus now and I’m getting off the phone so I’m going on the road to go to church and I’ll park in the mail lol


What is the surface area of the square pyramid represented by
the net?
Enter your answer in the box.

Answers

Answer:

Answer: 175 cm²

From the given picture the surface area of square pyramid = Area of square+Area of 4 triangles.

Area of square = side^2=7^2=49 cm^2 By the way "^" means exponent sorry for the late reply

For triangles, base of triangle b=7 cm

Height of triangle= 9 cm

Area of square pyramid =Area of square+Area of 4 triangles.

Step-by-step explanation:

175m^2 because just took the test

pls asap now
late thank you

Answers

Answer:

using Pythagoras theorem

Step-by-step explanation:

it's option c

Answer:

C

Step-by-step explanation:

Pythagoras Theoram.

x² = 45² - 27²

x² = 2025 - 729

x² = 1296

x = [tex]\sqrt{1296}[/tex]

x = 36

If this answer help pls mark me brainliest!!! thnx!!!

pls I need help, I don't understand this

Answers

Answer:

shade - 1,4,9,16,25,36,49,64,81,100

Explanation:

The perfect squares can be found along the diagonal of the multiplication table when a whole number is multiplied by itself.

If u actually know the answer can u help me!!!

Answers

Answer:

144

Step-by-step explanation:

(5*11) + (3*11) + (4*11) + (6*2) = 144

Write the expression using exponents.
8 · r · r · r


8r3

(8r)3

11r

8(3r)

Answers

Answer:

8r^3

Step-by-step explanation:

8*r*r*r=8r^3

(B) 8r^3
I’m so sorry if it is wrong it’s just a guess goodluck!!

Needing help with this very confusing!

Answers

Answer:

The answer is part C

Step-by-step explanation:

Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing the multiplication. Include a model

Answers

Here is the answer hope it helps and pls brainlest!!! -Have a great day bye!-

Solve for x, given that the area is 120.

**Show work please(step by step)**

Answers

Answer:

x=20

Step-by-step explanation:

Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide.

A rectangle with a width of 5 yards and height of x.

Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing?
at most 8 yards
at most 15 yards
more than 8 yards

Answers

Answer:

at most 8 yards

Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please

Answer:

At most 8 yards

Step-by-step explanation:

The possible lengths of the run if Mary can use no more than 40 yards of fencing would be at most 8 yards.

Question 1
Two lines intersect forming 4 angles. A pair of vertical angles measures 7 x degrees and x + 90 degrees.

a. Write and solve an equation to find the value of x. Show work in the box below.

The value of x is _____

b. The measure of each vertical angle is ______°.

Answers

a. 7x = x + 90
6x = 90
x = 15
b. 105 degrees
explanation: verticals angles are equal

Triangle XYZ has vertices X(−2, −1), Y(0, 2), and Z(2, −1)

Answers

Answer:

Image after the rotation would be X(2, 1) Y(0,-2) and Z(-2, 1)

Step-by-step explanation: 180 clockwise or counterclockwise formula is that (x,y) becomes (-x,-y). This means that the coordinates are inverted to positive or negative.

The image after the rotation would be X(2, 1) Y(0,-2) and Z(-2, 1) according to the graph below.

What is a Graph?

This is defined as a pictorial representation of numbers or variables in an organized manner.

180 clockwise or counterclockwise means that (x,y) becomes (-x,-y). This means that the coordinates are inverted to positive or negative depending on their respective signs.

This therefore means  X(−2, −1), Y(0, 2), and Z(2, −1) = X(2, 1) Y(0,-2) and Z(-2, 1) .

Read more about Rotation here https://brainly.com/question/26249005

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The car can hold up to 4 passengers. Write an inequality for the number of passengers that could be in the car at any given time.

Answers

Answer:

The equation relating the number of cars to the number of passengers is p = 4n

Step-by-step explanation:

Given that certain type of car has room for 4 passengers

To find: write an equation relating the number of cars to the number of passengers

Let "n" be the number of cars

Let "p" be the number of passengers

From given information,

Car has room for 4 passengers. Therefore, we can frame,

number of passengers = 4 ( number of cars )

p = 4 (n)

p = 4n

Thus the equation relating the number of cars to the number of passengers is p = 4n

This figure is made up of two rectangular prisms.

What is the volume of the figure?

Enter your answer in the box.

__ in³

Answers

Answer:

Answer:1134

Step-by-step explanation: first you do (21×7×2)+(12×10×7) then once you do that you'll get 1134 and that's your answer.

Help I've Been Stuck On This For 5mins Straight Screenshot Below 20pts, Brainliest

Answers

Answer:

its B

Step-by-step explanation:

as you can see the arows is out the y axis which means its a negative

Answer:

I don't know

Step-by-step explanation:

7.EE.2 Part-Time Job

Answers

1
Week = w
1 hour = d

Formula

w = dm + c

The m is the gradient

The c is the d when w is 0

First let’s do m
m is basically how much the d changes from one point to another

So how much does d changes from 20 to 15.5
Write answer in comments then I will continue

help this is due tomorrow!!!

Answers

Answer:

V=4/3*3.14*r^3

V=4/3*3.14*3^3

V=113.1

Volume of Himiphere= Volume of sphere/2

113.1/2

V=56.6

Step-by-step explanation:

The answer is 56.6

56.6 is the correct answer to this problem.

In the figure below, ABDC, EFHG, and ASHY are all squares; AB=1, EF=$, and AY=5.

What is the area of quadrilateral DYES?

Answers

Answer:

16.97

Step-by-step explanation:

you need to find the length of DY (the hypotenuse of one of the triangles), and to do that, you need to find the length of CY, so subtract AB (which is 1) from AY (which is 5) and you are left with 4. then use the Pythagorean theorem to solve for DY. [tex]1^{2}[/tex] + [tex]4^{2}[/tex] = [tex]17^{2}[/tex]. [tex]\sqrt{17}[/tex] = 4.12 (rounded to the nearest hundredth). The last step is to solve for area, or length times height. The quadrilateral has equal side lengths, so the equation is

4.12 × 4.12 which equals 16.97

The box plots show the average monthly high temperatures in degrees Fahrenheit for the cities of Las Vegas, Nevada, and Juneau, Alaska. Average Monthly High Temperatures Las Vegas, Nevada Juneau, Alaska HH 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 Temperature (°F) Which statement does NOT appear to be supported by the information in the box plots?​

Answers

Answer:

b

Step-by-step explanation:

because all the other choices con be supported by the graph while b cannot be supported

A row of lockers has a length of 72 inches and a width of 60 inches. Gabrielle made a scale drawing of the row of lockers using a scale of 1/2 centimeters = 6 inches.

Answers

Answer:

Length- 6 centimeters.  Width- 5 centimeters

Step-by-step explanation:

Ok, so 1/2 centimeter = 6 inches

let’s first take the length witch is 72 inches and divide that by 6. Then, since it half a centimeter, divide in half.

72/6 = 12     12/2 = 6 centimeters

Next is the width. Now we the same thing as the length. Take 60 and divide by 6 then divide in half.

69/6 = 10.    10/2 = 5 centimeters

In summary, The scale drawing has length of  6 centimeters and a width of 5 centimeters.

I hope this helps. Your welcome!

please help me where it goes

Answers

Well I believe it just goes on 3 because it says 3 x meaning the x-axis I think.
The point would go on (0,0) i believe also use Desmos the graphing calculator because it’ll help you alot

Carter randomly selected some red and yellow clothing items at a store and recorded their prices. The tables below show the
data he recorded, in dollars.
Red Items
Yellow Items
12 89 72 13 57 63 12 7
28 12 46 66 5 22 98 139
50 53 27 41 2 69 41
8 76 85 30 12 35 45 55
Place each statement in the correct location on the table to show it is strongly supported by the data or it is not strongly
supported by the data
Few yellow items cost more
than $50
The majority of red items
cost more than $70
The majority of yellow Rems
cost less than $70.
Few red items cost less
than $30
The mean cost of the yellow
items is less than the mean
cost of the red Rems
Strongly Supported Not Strongly Supported
by the Data
by the Data

Answers

Answer:

Strongly Supported by the Data

Few yellow items cost more than $50.The majority of yellow items cost less than $70.Few red items costs less than $30.

Not Strongly Supported by the Data

The majority of red items cost more than $70.The mean cost of the yellow items is less than the mean cost of the red items.Step-by-step explanation:

please help and thanks

Answers

Answer:

the length of the scale drawing is 11 because half of 22 is 11 and the width would be 8 1/2 because its half of 17.

Step-by-step explanation:

big brien mr clean 0-0

11, that’s the length on the scale and the width is 8 1/2.

A truck delivers tables and chairs for a fair. The truck can carry 1000 pounds total.
-Tables weigh 50 pounds each
-Chairs weigh 10 pounds each

Use the above information to write an equations for the number of tables, t, and the number of chairs, c, that the truck can carry.

Answers

50t+10c less than it equal to 1000

The required expression is given as 50t + 10c = 1000.

Given that,
A truck delivers tables and chairs for a fair. The truck can carry 1000 pounds in total.

-Tables weigh 50 pounds each

-Chairs weigh 10 pounds each

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Let the number of tables, t, and the number of chairs, c, that the truck can carry,
Now,
Total weight of T table = 50t
Total weight of c table = 10c
Total weight truck Carry = 1000
50t + 10c = 1000

Thus, the required expression is given as 50t + 10c = 1000.

Learn more about equations here:

brainly.com/question/10413253

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PLLLLSSSSSSSSSSSSS HURRRRYYYYYYYYYYY
Lab group A got a residual of 14.1005 grams of silver at the end of an experiment. Lab group B got a residual of 11.023 grams of silver at the end of a similar experiment. Using significant digits, find how much more silver lab group A got compared to lab group B.

A. 3.077 g
B. 3.0775 g
C. 3.078 g
D. 3.75 g

Answers

Answer:

The Answer would be "B"

Step-by-step explanation:

14.1005 - 11.023 = 3.0775

Answer: C. 3.078

Step-by-step explanation:

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