2. Can a triangle have sides with the given lengths? Explain.
1 ft, 3 ft, 7 ft
a. No, because 7+1>3 contradicts the triangle inequality theorem.
b. Yes, because 1+3<7 satisfies the triangle inequality theorem.
c. Yes, because 7+1>3 satisfies the triangle inequality theorem.
d. No, because 1+3<7 contradicts the triangle inequality theorem.

Answers

Answer 1

Answer:

option D

Step-by-step explanation:

Sum of measure of any 2 sides of a triangle should be greater than the measure of third side.

Answer 2

The triangle will not have the sides 1 foot, 3 feet, and 7 feet, as these sides do not satisfy the triangle inequality theorem so, option D is correct.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

The sides of the triangle are, 1 foot, 3 feet, and 7 feet,

We know that the sum of two sides of a triangle is always greater than the third side,

Calculate the sum of sides as shown below,

1 + 3 = 4

Thus, 1 + 3 < 7.

Therefore, these are not the sides of the triangle.

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Related Questions

can you please help​

Answers

Answer:

Step-by-step explanation:

d + 19 c

4d+31c

7/8-1/2
Please explain the steps on how to get the answer here is my work but I don’t know how to explain. (Pls help got to explain it to my class)

Answers

Answer:

3/8

Step-by-step explanation:

7/8 - 1/2 = ?

First, we find the Least Common Denominator and rewrite the fractions with the common denominator.

(7/8 × 1/1) - (1/2 × 4/4)

= 7/8 - 4/8 = ?

Now that the denominators are the same, we can subtract the numerators.

7-4/8 = 3/8

This fraction can't be reduced since it is already in its simplest form. Therefore, 7/8 - 1/2 = 3/8

solve for -4 x -10 ≤ 2

Answers

Answer:

I think the answer is x≥-3

Solve the equation: 6x - 4 + 2(5x + 2) = 16x*
1.) 0
2.) 1
3.) -2
4.) Infinitely Many
5.) No Solution

Answers

The answer is that there is no solution.

The problem would be 16x = 16x so there is no solution.

Systems of equations and inequality’s HELP IM BEGGING

Answers

Answer: The answer is D

Step-by-step explanation:

I used desmos graphing calculator! Look it up it really helps! Literally gives the answers. :)

Use the quadratic formula to solve for x. 3x2 = 8x-1 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. = 0 X $ ?​

Answers

Answer:

[tex]x \approx 0.13, 2.54[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

3x² = 8x - 1

Step 2: Rewrite

Put equation in Standard Form

Subtract 8x on both sides:                    3x² - 8x = -1Add 1 to both sides:                               3x² - 8x + 1 = 0

Step 3: Identify Variables

a = 3

b = -8

c = 1

Step 4: Solve for x

Substitute [Quad Formula]:                    [tex]x=\frac{8\pm\sqrt{(-8)^2-4(3)(1)} }{2(3)}[/tex]Evaluate Exponents:                               [tex]x=\frac{8\pm\sqrt{64-4(3)(1)} }{2(3)}[/tex]Multiplication:                                          [tex]x=\frac{8\pm\sqrt{64-12} }{6}[/tex]Subtraction:                                             [tex]x=\frac{8\pm\sqrt{52} }{6}[/tex]Simplify Radical:                                      [tex]x=\frac{8\pm2\sqrt{13} }{6}[/tex]Factor GCF:                                             [tex]x=\frac{2(4\pm\sqrt{13}) }{6}[/tex]Simplify Fraction:                                    [tex]x=\frac{4\pm\sqrt{13}}{3}[/tex]Evaluate:                                                  [tex]x=0.131483, 2.53518[/tex]Round:                                                     [tex]x \approx 0.13, 2.54[/tex]

What is the area of the circle shown below?

Answers

Answer:

201.06

Step-by-step explanation:

Answer:

804.2cm squared i know this alright

104÷16=
I need the remainder and the reel answer

Answers

Answer:

62

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

HELP ME

Find the slope of the following lines

ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

Step-by-step explanation:

Slope is equal to rise over run

You can look at the graph and see to get to from point (-3, -1) to point (2, 4) you rise up (change in y) 5 units and run (change in x) 5 units. This means the slope is 5 / 5 which is equal to 1.

sally has 2 cats and each cat eats 1/4 of a tin of cat food each day. sally buys 7 tins of cat food. for how many days will the cat food feed her two cats?

Answers

Division is one of the four fundamental arithmetic operations. The number of days this cat food will last is 14 days.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that each cat eats 1/4 of a tin of cat food each day. Therefore, the amount of food that two cats will eat in a day is,

= 2 ×  1/4 of a tin of cat food each day

= 1/2 of a tin of cat food each day

Further, it is given that Sally buys 7 tins of cat food. Therefore, the number of days this cat food will last is,

= Total cat food / Cat food needed in a day

= 7tin of cat food / 1/2 of a tin of cat food each day

= 14 days

Hence, the number of days this cat food will last is 14 days.

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Use the number line to add −3/5 and 1 1/4.

Answers

Answer:

13/20

Step-by-step explanation:

You can write 1 1/4 as 5/4.  Any fraction that has the same number in the numerator and the denominator equals 1.  For example 4/4 = 1, 20/20 =1, 5/5 = 1 and so on.

I can rewrite 1 1/4 as 4/4 + 1/4 = 5/4

Now we want to add -3/5 and 5/4.  We need a common denominator because the pieces of the fractions are not equal.  The smallest number that 5 and 4 will go into is 20.  Si U an going to write the two fractions with 20 as the denominator.

-3/5 = -12/20  I multiplied the top and the bottom of -3/5 with 4.

5/4 = 25/20  I multiplied the top and the bottom of 5/4 by 5

-12/20 + 25/20 = 13/20

Solve the system of equations.
​7x−3y=20
y=5x−4
​ x=
y=

Answers

Answer:

{x,y} = {-1,-9}  

Step-by-step explanation:

the answer is
x= -1
y= -9

4
Point R in AQRS has coordinates (-2, 1). AQRS underwent a translation of moving 2 left and
4 down. What are the coordinates of the image of R?
(1 Point)
O A. (-7, -1)
O B.(4,-3)
O C. (3,-1)
D. (0,4)

Answers

It is super duper duper super B

What is the slope of the line that passes through the points (−4,0) and (-4, -10) Write your answer in simplest form.

Answers

Answer:

10/0

Step-by-step explanation:

Which graph shows y = 2x - 1/2?

Answers

answer :
the third graph
explanation :
typed in the equation on desmos and compared

The x-intercept and y-intercept of the line are at (0, -1/2) and (1/4, 0). Then the correct option is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y = 2x - 1/2

At x = 0, the value of the variable 'y' will be given as,

y = 2(0) - 1/2

y = - 1/2

At y = 0, the value of the variable 'x' will be given as,

0 = 2x - 1/2

2x = 1/2

x = 1/4

The x-intercept and y-intercept of the line are at (0, -1/2) and (1/4, 0). Then the correct option is C.

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Adam's music playlist contains songs he bought and songs his mother bought. The ratio of his songs to his mother's songs is 5:3. How could you complete the table of equivalent ratios?​

Answers

Answer:

The ratio of the songs is 5:3

Step-by-step explanation:

This means that for every 5 songs Adam has, his mother has 3. We can do that in intervals of 5:3, with 10:6, 15:9, 20:12, and etc.

Write "15" in Adam's column and "24" in his mother's column.

In the given question, the table of equivalent ratios is missing. Please find the attachment of that table below.

Given ratio is:

The ratio of Adam's songs to his mother's songs,

5:3

then,

→  [tex]\frac{Adam's \ songs}{Mother's \ songs} =\frac{5}{3}[/tex]

→ [tex]Adam's \ songs = \frac{5}{3}\times 9[/tex]

→                         [tex]= 15[/tex]

Now,

→       [tex]\frac{40}{Mother\s \ songs} =\frac{5}{3}[/tex]

→                [tex]40\times \frac{3}{5} = Mother's \ songs[/tex]

→ [tex]Mother's \ songs = 24[/tex]

Thus the above approach is right.

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What is the weekly profit? Plz help.!

Answers

Answer:

901$

Step-by-step explanation:

Can anyone tell me what the answer is plz

Answers

Answer:

C

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

there is no mistake

A rock is thrown from the top of a ladder. The function
h(t) = –16t2 + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
What is the height of the rock at 5 seconds?

Answers

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

A ferry has 82 cars on board. This is about 64% of all the vehicles on board. Approximately how many vehicles are on board the ferry?

Answers

Answer:

128.125

Step-by-step explanation:

64%=64/100

64/100 = 82 cars

1 = 82÷64/100

=82×100/64

=41×25/8

=1025/8

=128.125

At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.

Answers

Answer: 8 skates

Step-by-step explanation:

Given that:

Skate rental = $3

Let number of skates rented by cotters = x

Hence, amount paid by cotters = 3x

The Moores paid $6 more

Moores amount = 3x + 6

Combined amount paid = 42

3x + 3x + 6 = 42

6x + 6 = 42

6x = 42 - 6

6x = 36

x = 36 / 6

x = 6

Hence, amount spent by the Moore's:

3x + 6

3(6) + 6 = 18 + 6 = $24

Cost per skate rental = $3

Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates

the square root of 4/49

Answers

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Simplify the numerator and the denominator.

The square root of 4/49 is 2/7.

Given that a fraction 4/49 we need to find the square root of this fraction,

To find the square root of a fraction, you need to find the square root of both the numerator and the denominator separately. Let's apply this to the fraction 4/49.

Step 1: Find the square root of the numerator:

The numerator is 4. Taking the square root of 4 gives us √4 = 2.

Step 2: Find the square root of the denominator:

The denominator is 49. Taking the square root of 49 gives us √49 = 7.

Step 3: Form the new fraction:

The square root of the fraction 4/49 is (√4)/(√49), which is 2/7.

Therefore, the square root of 4/49 is 2/7.

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Pls help I’m literally gonna fail this. It’s dependent variables I suck at this because of the fractions. ILL GIVE BRAINLIEST IF YOU GET IT RIGHT! Number it like pls help and give an explanation I’m literally stuck
Picture 1:
1. 2 3. Etc

Picture 2.
1. 2. 3

Answers

Answer:he aspect ratio of an image is the ratio of its width to its height. It is commonly expressed as two numbers separated by a colon, as in 16:9. ... In still camera photography, the most common aspect ratios are 4:3, 3:2, and more recently found in ... In motion picture formats, the physical size of the film area between the sprocket ...

Step-by-step

PLEASE HELP!!!

Problem #1
A groundskeeper needs grass seed to cover a circular field, 580 feet in diameter.
A store sells 100-pound bags of grass seed. One pound of grass seed covers about 800 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.

Step1: Find the area of the circular field.

Step2: Find how many square feet covers a 100-pound bag(1pound covers 800 sq. ft)

Step 3: Find how many bags are needed to cover the entire area found on step1?

Step 4: Make sure to tell the number of bags that you need to cover the entire area of the field.

Answers

(Is this question not too complex)

Ask the questions one-by-one.

PLEASE HELP I NEED A ACE OR EXPERT TO HELP ME OUT

Answers

Answer:

I believe is A.

Step-by-step explanation:

you will have x^2 (which is the big square) + 1x (which is the lower line) + 3x (which are the 3 line verticals) + 3 (which are the 3 squares)

Answer: Choice A

Across the top we have x+3 since the square has side length x and the long rectangles have their short side equal to 1. Three of those rectangles combined like that make 1+1+1 = 3

Across the far left side, we have a vertical distance of x combined with just 1 this time (instead of 3) leading to x+1

Check out the diagram below.

Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.

Which system of equations models this situation if d represents the number of cookies Duc baked and h represents the number of cookies Hue baked?


d=2h+10

d=80−h


h=2d−10

d+h=80


d=2h−10

d+h=80


h=2d+10

h=80−d

Answers

Answer: I believe the answer is C

The system of linear equations that represents the given situation is (d + h = 80) and (d = 2h - 10) and this can be determined by using the given data.

Given :

Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.

The following steps can be used in order to determine the system of equations models given situation:

Step 1 - Let the total number of cookies Duc baked be 'd' and the total number of cookies Hue baked be 'h'.

Step 2 - The linear equation that represents the total number of cookies Hue and Duc baked is:

d + h = 80

d = 80 - h  --- (1)

Step 3 - The linear equation that represents that Duc baked 10 less than twice the number of cookies Hue baked is:

d = 2h - 10  --- (2)

Step 4 - Substitute the value of 'd' in equation (2).

2h - 10 = 80 - h

Step 5 - Simplify the above expression.

3h = 90

h = 30 cookies

Step 6 - Substitute the value of 'h' in equation (1).

d = 80 - 30

d = 50 cookies

Therefore, the correct option is C).

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who plays on ps4???? I do

Answers

Answer:

I play Far Cry, mechanic sim, and Subnautica on ps4

Step-by-step explanation:

Which graph is a function of x?

Answers

Answer:

1st one jus did this

Step-by-step explanation:

easy

A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?

Answers

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

Answers

Answer:

h(x) = 5x+6

Step-by-step explanation:

h(x) = f(x) - g(x)

h(x) = 3x+2 - (-2x-4)

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

h(x) = 5x+6

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

h(x) = f(x) - g(x)

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) →     3x + 2x      → 5x

(+2) - (-4) →      2 + 4     → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)

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