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EleoNora [17]
3 years ago
13

Is the triangle obtuse, acute, equilateral or right?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
8 0
Obtuse Bc Ik it is so ye lol
Stells [14]3 years ago
4 0

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

The law of cosines tells you ...

  b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

  b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

  b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

  \cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

  \cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

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how would a table help you find the number of minutes it took joe to cut the sheet metal into 5 pieces
Alinara [238K]
He'll make 7 cuts. If you can't see that that is the answer, draw a diagram. 

<span>7 * 5 = ?</span>
6 0
3 years ago
What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

8 0
3 years ago
Please please please help me!
OleMash [197]

Answer:

<76

Step-by-step explanation:

Remark

You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.

Properties

<ABG = x                       Given

<ABG = <BGF               Alternate interior angles are equal.

<BGF = x                       Substitute

x + 2x - 9 = 180             Consecutive angles in a ||gram equal 180 degrees.

3x - 9 = 180                    Add 9 to both sides

3x - 9 +9 = 180 +9

3x = 189                         Divide by 3

x = 63

<DHG = 2x - 50            Given

<DHG = 2*63 - 50         Substitute for x

<DHG = 76

<IDC  = 76

<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.

6 0
3 years ago
Please help . I’ll mark you as brainliest if correct!!!!!!
STatiana [176]

Answer:

3 are mushed

Step-by-step explanation:

You have 12 tomatoes

All but 9 get mushed

Total tomatoes = mushed + non mushed

12 = mushed +9

Subtract 9 from each side

12-9 = mushed+9-9

12-9 = mushed

3 = mushed

7 0
3 years ago
Read 2 more answers
Which is a step when multiplying or dividing numbers written in scientific notation?
Veronika [31]
It’s A
As it says in the answer, you usually add / subtract the exponents when needed.
4 0
2 years ago
Read 2 more answers
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