The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright

Answers

Answer 1

Answer:

It's obtuse.

Step-by-step explanation:

Mumble. Smells al-kashi laws of cosine to me.

[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]

Now, we don't need to calculate the RHSs, and then:

If at least one of the three LHSs is greater than zero, the triangle is obtuse

If at least one is zero, it's a right triangle (pythagorean theorem anyone?)

if all three numbers are less than zero, the triangle is acute

Start crunching numbers.

[tex]139-73-36 = 30[/tex] First try was  the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED


Related Questions

please some one helppppp!!!!!!!!!!!!!!​

Answers

Answer:

22.49

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS

Answers

b. ssa
it’s not the postulate

What happens to the value of y in the following equation as the value of x increases, where x is a whole number?

y = x 2 + 4

Answers

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

What does it mean to solve an equation?

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

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​​​​​​​If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10

Answers

Answer:

The value of A is 2

Step-by-step explanation:

F = 2 , B = 3 , K = 10

K = F( A + B )

10 = 2(A + 3)

10 = 2A + 6

Now, Subtract 6 from each side we get,

10 - 6 = 2A + 6 - 6

4 = 2A

2A = 4

Now, divide both side by 2 we get,

2A/2 = 4/2

A = 2

Thus, The value of A is 2

FOR VERIFICATION ONLY :-

K = F( A + B )

10 = 2(2 + 3)

10 = 2(5)

10 = 10

L.H.S = R.H.S

Hence Proved!

-TheUnknownScientist 72

80% of __ is 16 help

Answers

Answer:

80% of 20 is 16.

Step-by-step explanation:

Hello darling, the answer is 20 ^^

You flip a coin four times. “Heads” is called a success. possible outcomes are shown in the tree diagram. What is the probability of the coin landing heads up exactly twice out of the four flips?

Answers

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries

Graph the compound inequality on the number line.

Answers

Answer:

x can equal any number between 0 and 8. This also includes 8.

Step-by-step explanation:

As noted in the problem, x is more than -1 (x > -1)

So we can infer that -1 and anything past it to the left is not a viable answer.

As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///

It will look something like this.

        It will stop here --v

---•---|---|---|---|---|---|---|---•---

  0  1   2  3  4  5  6  7   8

(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm

Answers

Answer:

20cm

Step-by-step explanation:

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?

Pick one:

5cm

20cm

200cm

720cm

--------------------

scale = 1:6000

so

1200 : 6000 =  0.2m

0.2m = 20 cm

Answer:

20cm

Step-by-step explanation:

«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion [tex]\dfrac{1}{6000}=\dfrac{x}{1200}[/tex], where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.

solve pls brainliest

Answers

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

Which best describes the error in finding the area of the parallelogram?


15 meters was used for the height instead of 13 meters.
15 meters was used for the height instead of 13 meters.

8 meters was used for the height instead of 13 meters.
8 meters was used for the height instead of 13 meters.

The product of 8 and 15 is not 120.
The product of 8 and 15 is not 120.

The formula to use should have been A=12bh instead of A=bh.
The formula to use should have been, cap A is equal to 1 half b h instead of cap A is equal to b h.

Question 2
Correct the error.

A=

=
m2

Answers

Answer:

104

Step-by-step explanation:

What is 2x-3y=12 on a graph?

Answers

The graph for 2x-3y=12 is

What percent is 30 out of 75?

Answers

Answer:

40%

Step-by-step explanation:

(30/75) x 100 = 40%


bdjdndnd

#Help plz
#No spam -_-||
#Quality answer needed​​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

if a/3=b/2, what are the following ratios?
a+b/b

Answers

Answer:

1

a+1

es posible q hayan doble respuesta

Step-by-step explanation:

Pasos  

a+b/b

Divide b entre b para obtener 1.

da

d

(a+1)

La derivada de un polinomio es la suma de las derivadas de sus términos. La derivada de cualquier término constante es 0. La derivada de ax  

n

 es nax  

n−1

.

a  

1−1

 

Resta 1 de 1.

a  

0

 

Para cualquier término t excepto 0, t  

0

=1.

1

a+b/b

Divide b entre b para obtener 1.

a+1

solutions: ( x = 2 & x = -2 ) ​

Answers

hmmmmhmmmmmmmmmmmmmmmmmmmmmm

a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams. How much of the substance remains after 8 seconds?

Answers

Answer:

1.25 g

Step-by-step explanation:

you start with 20g at 0 seconds.

divide by half after 2 seconds and you have 10g.

at 4 seconds you have 5g.

at 6 seconds you have 2.5g.

at 8 seconds you have 1.25g.

The size of the substance after 8 seconds will be 1.25 g

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams.

Start with 20g at 0 seconds and divide by half after 2 seconds and you have 10g.

4 seconds you have 5g.

6 seconds you have 2.5g.

8 seconds you have 1.25g.

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PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):

Answers

Answer:

for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.

now,

slope (m1) = (y2-y1)/ (x2-x1)

or, m1= 0-(-3)/ 8-(-4)

or, m1=3/12=1/4

again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)

apply the same formula and find the slope(m2)

m2=6-2/-1-0

or, m2=4/-1

for b) m1 multiply m2

or 1/4 x 4/-1

=-1 so it is perpendicular

Step-by-step explanation:

for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.

while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.

similarly, if m1=m2 then it is considered to be parallel.

here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line

HELP!

Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.

Answers

Answer:

4.75 is about -5(40) =-200, and 340-200=40

Step-by-step explanation:

9. 2 less than 3 times a number is the same as 2114. What is the number?

Enter your answer as a decimal or simplified mixed number in the box. The number is.

Answers

Answer:

705.3 repeated I don't know if that's what you want but

3 times of 705.33 and 2 subtracted is equal to 2114.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

2 less than 3 times a number equal to 2114.

Let the required number is x.

According to given condition,

3x - 2 = 2114

3x = 2114 + 2

3x = 2116

x = 2116 / 3

x = 705.33

The required number is 705.33.

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PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)



Does the parabola open up or down? How do you know? (2pts)



What is the maximum or minimum value? How do you know? (2pts)



What are the x-intercepts? (2pts)



What is the y-intercept? (1pt)


What is the vertex? (2pt)

Answers

9514 1404 393

Answer:

  a) a=1, b=4, c=-5

  b) opens up; a > 0

  c) minimum = -9, the y-value of the vertex

  d) x = -5, 1

  e) y = -5, the value of c

  f) (-2, -9)

Step-by-step explanation:

A graph drawn by a graphing calculator can answer all of these questions quickly and easily.

__

a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:

  f(x) = ax^2 +bx +c

  f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5

__

b) The parabola opens up. This is because the value of 'a' is greater than zero.

__

c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...

  f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)

Your function can be put into this form:

  f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square

  f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).

The y-value of the vertex is -9, the minimum value of the function.

__

d) Solving f(x) = 0, you get ...

  (x +2)^2 -9 = 0

  (x +2)^2 = 9 . . . . . . . . add 9

  x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2

  x = -2 ±3 = {-5, 1} . . . . . the x-intercepts

__

e) The y-intercept is f(0) = c = -5.

__

f) The vertex was found in part (c) to be (-2, -9).

PLEDE HELP ME EMERGENCYYYYYY

Answers

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

2x2-5x-2 solve by quadratic formula 9leave answers in simplest radical form)

Answers

Answer:

-5x+2

Step-by-step explanation:

1. Multiply number 2 and 2=4 so it is

4-5x-2

2. Combine like terms

-5x+4-2

3. Subtract the numbers

-5x+2

PLS HELP!!! WILL GIVE BRAINLIEST

Answers

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Please help me with this question :)

Answers

Answer:

B

B

B

Step-by-step explanation:

Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer

Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

Answers

    This is because of the law of indices which says:

[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]

    So, if we have:

[tex]\sqrt{n}[/tex]

    Then the following will be true because of this math law:

[tex]n^{\frac{1}{2} }[/tex]

Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

A car is moving at 12 m/s and has a mass of 600 kg. What is the kinetic energy of the car? (Formula: KE = 1/2mv^2) WILL GIVE BRAINLEST

Answers

Answer:

The kinetic energy of the car is 43,200 Joules.

Step-by-step explanation:

KE = (1/2)mv^2

KE = (1/2)(600 kg)(12 m/s)^2

KE = (1/2)(600 kg)(144 m^2/s^2)

KE = 43,200 kg*m^2/s^2 = 43,200 Joules

Answer:

Step-by-step explanation:

KE= 1/2mv^2

KE = 1/2(600) 12^2

KE = 300 * 144 = 43200J

write a peacewise function for the graph
please help me

Answers

Answer:

[tex]\left \{ {{y=x; \ \ x\le 0} \atop {y=4+ \frac12x;\ \ x>0}} \right.[/tex]

Step-by-step explanation:

If you look at the graph you see that:

before 0, the graph has same y as it has x, or y=x.

after 0, the graph starts at 4, and increases by 1 every 2 steps horizontally, or has a slope of 1/2.

Finally, the 0 has to be included in the blue part of the graph based on where the solid dot is.

solve pls brainliest

Answers

Answer:

64%

Step-by-step explanation:

Step 1: Divide 16 by 25

-> [tex]\frac{16}{25}[/tex] -> [tex]0.64[/tex]

Step 2: Multiply quotient by 100.

[tex]0.64 * 100[/tex] [tex]6.4 * 10[/tex] [tex]64[/tex] 64%

Therefore, 16/25 as a percentage is 64%.

Answer:

Well you can make a proportion

Percentage means ”Out of a hundred”

So you can make a proportion with any fraction Equal to x/100 since

X is the unknown perctange.

in this case it’s 16/25

16/25 = x/100

So cross multiply To solve for X

1600= 25x

x= 64

So 64 Percent

In this case you can use benchmarks. If you do it more or long enough, you’d memorize them.

In this case 25 is a bench mark of 1/4 or 25. 25 goes into 100 4 times so you can multiply 16 by 4 to get your percentage since if you do multiply 4, you have to do it to both the numerator and the Denominator.

so 16/25

16*4= 64

25*4=100

64/100 or 64 percent.

Common benchmarks for percentages

5, 10, 20, 25, 50

5 is always multiply by 20

10 is always multiply by 10

20 is always multiplied by 5

25 is always multiplied by 4

50 is always multiplied by 2

in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD

• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans

Answers

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

-2x -3 for x = -3

( Evaluate the following algebraic expression )

Answers

Answer:

well its -2*-3-3 so

-2*-3 is 6-3 is 3

Step-by-step explanation:

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