do the lengths 30.1, 0.8, 31 make a triangle & why

Answers

Answer 1

Step-by-step explanation:

If this were to make a triangle, then 30.1 and 0.8 would be the shorter sides and 31 would be the longest side.

The sum of the lengths of the shorter sides is 30.1+0

8=30.9.

Since this is less than the length of the segment that would be the longest side, by the triangle inequality theorem, these side lengths would not make a triangle.


Related Questions

QUESTION ON PIC THANK YOU !

Answers

Answer:

There are (14 - 8) daisies = 6 daisies

roses / daises = 8 / 6 = 4 / 3

flowers / daises = 14 / 6 = 7 / 3

The function h(x) is a transformation of the square root parent function, f(x) = √x. What is h(x)?

A. h(x) = √x + 5

B. h(x) = √x - 5

C. h(x) = √x - 5

D. h(x) = √x + 5

Answers

Answer: A: √x+5

Step-by-step explanation:

The parent square root function is √x

Transformations to this graph come in the form y =√(x-h) +k, where h is responsible for left-right movements, and k is responsible for up down movements.

For the image, we can see that f(x) is simply the parent square root function, √x. To get h(x) from f(x), there is a translation of 5 units to the left, which can be algebraically represented by a value of h = -5. Putting this into our form, we get h(x) = √x+5, which is your answer :)

The function h(x) is after transformation is √(x + 5).

Option A is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The square root parent function is f(x) = √x, which starts from the point (0, 0) and increases as x increases.

To transform the parent function to h(x) starting from the point (-5, 0), we need to perform a horizontal translation of 5 units to the right.

This is because if we plug in x = -5 into the parent function,

We get f(-5) = √(-5), which is not a real number.

Therefore, we need to shift the function horizontally so that it starts from

x = -5.

The transformation of the square root parent function with a horizontal translation of 5 units to the right is given by the equation:

h(x) = √(x + 5)

This function starts from the point (-5, 0) and increases as x increases.

We can verify this by plugging in x = -5 to get h(-5) = √(0) = 0, which is the starting point of the function, and by observing that h(x) increases as x increases.

Thus,

The function h(x) is √(x + 5).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

HELP ASAP PLEASE NEED FOR RIGHT NOW!!!

Answers

Answer:

-24/5

Step-by-step explanation:

I did the math...your welcome:)

Which equation describes the graph?

Answers

Answer:

y=(-3/5)x + 5

Step-by-step explanation:

Looking at the graph, we can see two clear points; (0,5) and (5, 2). We know that the y-intercept is (0,5) so the b value of the standard form of a line, y=mx+b, is 5. Since we know two points, we can figure out the slope. So, the slope is (5-2)/(0-5) = 3/-5. Therefore the equation of this line is y=(-3/5)x+5. We can check this answer by plugging in points.

Mr. Ford will select 5 of the 120 people who tried out for a theatrical production. He will choose another 5 people to assist with the show.
How many people will he choose altogether?

Answers

Answer:

10

Step-by-step explanation:

Mr. Ford selects 5 people who tried out.

He then chooses 5 more people to assist with the show.

Together he has 5 + 5 = 10 people altogether.

if 2/3x - 1=4, then x=?

Answers

Answer:

The answer is x=15/2

Step-by-step explanation:


.

can u answer plss
and gove explanation plss​

Answers

Answer:

x=[tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

A penny is in the shape of a circle.

What would you call the segment that connects the edges of the penny and passes through the center?

The
is the distance from the center of the penny to the edge of the penny.

What is the term for the distance around the edge of the penny?

Answers

Answer:

Diameter

Step-by-step explanation:

If it was from the middle to the edge it would be a radius,

but since it goes all the way across its a diameter.

Answer:

Step-by-step explanation:

The penny is a circle, the diameter is a line segment that passes directly through the center of a circle, the answer is diameter.The 2.radius is the distance from the center of the penny to the edge of the penny.

3.Diameter.

The quotient of number and 7 is 6

Answers

Answer:

42

Step-by-step explanation:

Let's say the number=X

x/7=6

7*6=42

and 42/7=6

well how do I get better at maths, am unable to understand no matter how hard I study​

Answers

Answer:

I would do it at your own pace. Find yourself a habit that helps you focus.

Step-by-step explanation:

For some people, like me, music helps me focus. For others, utter silence is best. I would suggest that if you finding a focal point does not help that you get a tutor. You can also come up with multiple ways to study like Quizlets, videos, flashcards, podcasts, depending on what type of learner you are!

Just take your time and figure out if you learn from someone showing you the work or you do it by reading it. Yea math can get confusing but once you find little short cuts it gets way better.

Benjamin bought two pounds of strawberries for $12.80. What is the price, in dollars per ounce of strawberries?

Answers

Answer:

0.50 cent per ounces

Step-by-step explanation:

0.50 cent per ounces

help a girl out
it’s due tonight i’m dead

Answers

I’m pretty sure it’s y = -x +3 :)

To find the equation of line take any two points on graph,

Point A = (0,3) = (X1,Y1)

Point B = (3,0) = (X2,Y2)

Y intercept is = 3,

Now find the slope of line using two point formula,

[tex]Slope = \frac{Y2-Y1}{X2-X1} \\ \

Slope = \frac{3-0}{0-3} = -1[/tex]

Equation of the line in standard form is,

[tex]Y - Y1 = m(X - X1)[/tex]

where m is the slope of line!

Now substituting Y1, m, X in above equation!

[tex]Y - Y1 = m(X - X1) \\ Y - 3 \: = - 1(X - \: 0) \\ Y - 3 = - X \\

X + Y = 3 \\

Y = 3 - X[/tex]

The equation of line in Slope intercept form,

[tex]\fbox{Y = - X + 3}[/tex]

Thanks for joining brainly community!

kinda easy math problems

Answers

1. {1, 2, 3, 4, 5, 6}
2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
B for blue, R for red, G for green, Y for yellow.
4. {TT, TH, HT, HH}
T for tails and H for heads


Explanation:
sample space is all possible outcomes

1. ((--1, 2, 3, 4, 5, 6--))

2. ((--1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15--))

3. ((--B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7--))

B for blue, R for red, G for green, Y for yellow.

4. ((--Tail tail, Tail Heads, heads tails, heads heads--))

Chapter 8 Practice:

Compute the inverse Laplace transform of
[tex]F(s) = \frac{s² +1}{(s-1)(s+1)(s - 2)} [/tex]

(​Cover up method)

Answers

Continue the given solution and solve for B and C :

[tex](s+1)\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = (s+1)\left(-\dfrac1{s-1} + \dfrac B{s+1} + \dfrac C{s-2}\right)[/tex]

[tex]\dfrac{s^2+1}{(s-1)(s-2)} = -\dfrac{s+1}{s-1} + B + \dfrac{C(s+1)}{s-2}[/tex]

[tex]s=-1 \implies B = \dfrac13[/tex]

Similar steps lead to C = 5/3, and so

[tex]\dfrac{s^2+1}{(s-1)(s+1)(s-2)} = -\dfrac1{s-1} + \dfrac13\times\dfrac1{s+1} + \dfrac53\times\dfrac1{s-2}[/tex]

Now take the inverse transform of each term.

[tex]Y(s) = -\dfrac1{s-1} \implies y(t) = -e^t L^{-1}\left\{\dfrac1s\right\} = -e^t[/tex]

[tex]Y(s) = \dfrac13\times\dfrac1{s+1} \implies y(t) = \dfrac{e^{-t}}3 L^{-1}\left\{\dfrac1s\right\} = \dfrac{e^{-t}}3[/tex]

[tex]Y(s) = \dfrac53\times\dfrac1{s-2} \implies y(t) = \dfrac53e^{2t} L^{-1}\left\{\dfrac1s\right\} = \dfrac{5e^{2t}}3[/tex]

Then the inverse transform of F(s) is

[tex]F(s) = \dfrac{s^2+1}{(s-1)(s+1)(s-2)} \implies f(t) = -e^t + \dfrac{e^{-t}+5e^{2t}}3[/tex]

[tex]\implies f(t) = \boxed{\dfrac{5e^{3t} - 3e^{2t} + 1}{3e^t}}[/tex]

Choose the correct linear equation given the slope and a point P.
m = 5/6, P = (-6,-2)

Answers

Answer:

3rd option is correct

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

Answer:

option c

Step-by-step explanation:

Linear equation in slope intercept form: y = mx +b

m is slope and b is y-intercept.

m = 5/6

[tex]y=\dfrac{5}{6}x+b\\[/tex]

The point P(-6 ,-2) passes through the line. So, plugin s and y values in the above equation.

[tex]-2=\dfrac{5}{6}*(-6)+b\\\\\\-2= -5 + b\\\\-2 + 5 = b\\[/tex]

b = 3

Equation of the line:

[tex]y=\dfrac{5}{6}x+3[/tex]

Maple Street is 4 miles long. There is a house every 1/4 of a mile. How many houses are there on Maple Street?

There are 24 houses on Maple Street.
There are 12 houses on Maple Street.
There are 16 houses on Maple Street.
There are 20 houses on Maple Street.

Answers

Answer: There are 16 houses

Step-by-step explanation: Why? Because of the fact that every house is 1/4 house and you can multiply that by every time 1/4x4 then 1/4x4 1/4x4 and 1/4x4 and you have 16 houses.

Can you help me please.

Answers

volume: 113.1 and SA:138.23

If a triangle has angles of 35° and 75°, and an included side length of 1 inch: What is the measure of the missing angle? How many triangles are possible?

Answers

Answer:

70

Step-by-step explanation:

angles in a triangle add up to 180 so both of the other angles added equal to 110. 180-110=70


y=-3(x + 5)^2 - 4
Convert the equation from vertex formi to standard form.

Answers

I believe in Vertex form it would be (-5,-4)

is the price proportional to the number of roses? how do you know? In th table below it shows the price, in dolloars, for thenumber of roses indicated

Answers

yes this is proportional. The rule for this table is to multiply the number of roses by 3 to get the price (dollars). I know this because if you divide the number of roses by the price you get 3. Overall this shows a proportional table.

What is the solution To the system of equations below? Need answer ASAP please

Answers

Answer:

y=2x-5

y=-x+7

answer is (4,3)

Step-by-step explanation:

brainliest pls

PLEASE HELP i WILL MaRK BRAINLY plsssssss


A "light" popcom has 120 Calories per serving. This is 25% fewer Calories than a serving of regular popcorn. How many
Calories does each serving of regular popcom have?
175
b. 250
480
d. 160
C.
a

Answers

Key ConceptsPercentagesCreating equations from a word problem

Solving the Question

We're given:

The popcorn is 120 calories per serving120 calories is 25% fewer calories than original popcornWe must find the calorie count per serving of the original popcorn

Determine Variables

Let x equal the calorie count per serving of the original popcorn.

Create an Equation

The light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:

[tex]x*0.75=120[/tex]

Solve the Equation

[tex]x*0.75=120[/tex]

⇒ Divide both sides by 0.75:

[tex]\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160[/tex]

Answer

Therefore, each serving of regular popcorn has 160 calories.


--
Which statement is true about these functions?
OA Functions fand g are not inverses because f(g(x)) = 9(f(x))
OB. Functions fand gare not inverses because f(g(x)) = g(f(x)).
Ос. Functions fand g are inverses because f(g(1) # 9(()).
OD. Functions fand g are inverses because f(g(x) = g(1)

Answers

Answer:

c

Step-by-step explanation:

it just is

The ratio of boys in a class to girls is 3:2. If there are a total of 20 students in the class, how many students are boys?

Answers

Answer:

13.333333...

Step-by-step explanation:

divide 20 by 3/2

Can someone help me out with this math problem? Thank you
What is AC?

Answers

Answer:

The Answer is B! 3√5 I hope this helped u

HELP NEEEEDED ASAP!!!!!!!! Which graph represents this function?

f(x)=2x−1−−−−√

Answers

First 1 trust me on this hope this help

Brainliest pls helppp
Find the equation of a line passing through point A (4,6) and B (-2, 8)

Answers

Brainliest pls!
Have a nice day :)

Help please I’m having trouble with this problem

Answers

Answer: L= 90-3 i hope this helps u :)

Answer:

[tex]\sf length = 8b+2[/tex]

Explanation:

area of rectangle = length * width

Given:

Area: 64b² - 4Width: 64b² - 4

using the formula:

[tex]\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)[/tex]

[tex]\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length[/tex]

[tex]\hookrightarrow \sf length = 8b+2[/tex]

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 4,11,18. Find the 50th term.

Answers

Answer:

347

Step-by-step explanation:

This is Arithmetic Sequence where its common difference= 11-4 = 18-11 = 7

The Geometric Sequence General Formula = [tex]a_{n} =a_{1}+ d(n-1)[/tex]

where a1 is the 1st Term and d is the common difference

[tex]a_{50} =4+7*(50-1)=347[/tex]

1 1 A recipe calls for cup of ingredient A for every 15 cups of ingredient B. You use 3 cups of ingredient A How many cups of ingredient B do you need? You need cups of ingredient B. ​

Answers

Answer:

45

Step-by-step explanation

Its actually quite simple all you have to do is multiply 15 by 3 and then you will get 45.

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