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3 years ago

How to tell if a triangle is acute or obtuse from side lengths?

1 answer:

4 0

Let the 3 sides be a,b and c. Take the longest side c:-

then for an acute triangle c^2 < a^2 + b^2

and for an obtuse triangle c^2 > a^2 + b^2

You might be interested in

The school band will sell pizzas to raise money for new uniforms. The supplier charges $143 plus $5 per

aev [14]

Answer:

7 x > 4 x + 100

7 x - 4 x > 100

3 x > 100

x > 100 : 3

x > 33.33

Answer: they have to sell 34 pizzas to make a profit.

Step-by-step explanation:

6 0

3 years ago

Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9

Savatey [412]

I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25

What is the eqn of the line: y = mx + b becomes

14 = (8)(2.5) + b; find b:

14-20 = b = -6. Then, y = 8x - 6.

Now determine whether (12,1.25) lies on this line.

Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide?

5 0

3 years ago

prakriti needs $3500 for high study in america after see.if $1=105Nrp if bank charge 3% commission how much nepali rupee should

timofeeve [1]

Answer:

356475Nrp

Step-by-step explanation:

$1=105Nrp

$3500=105×3500Nrp

=367500Nrp

Now,

Bank charges 3% commission

therefore, 3% of 367500Nrp

=3/100×367500Nrp

=11025Nrp

Then,

Required money =367500Nrp-11025Nrp

=356475Nrp

3 0

2 years ago

Need help Asap thank you in advance

julia-pushkina [17]

Answer:

$12x^4-20x^2+32x=4x(3x^3-5x+8)$

Step-by-step explanation:

<u>Common Factors</u>

An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.

The following expression

$Z=12x^4-20x^2+32x$

Can be factored in the constants and in the variable x.

1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).

2. To find the common factors of the constants, we take all the coefficients:

12 - 20 - 32

and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8

3. The factored expression is

$Z=12x^4-20x^2+32x=4x(3x^3-5x+8)$