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3 years ago

What is the correct answer?

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

160

Step-by-step explanation:

The top right quadrant is 90 and the given is 70, adding them equal 160. It is the only option that is greater than 90 degrees anyway.

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Is the triangle obtuse, acute, equilateral or right?

Stells [14]

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.

4 0

3 years ago

Read 2 more answers

Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil

4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours , Maddox monthly income wages = $1760

so for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A

8 0

3 years ago

Read 2 more answers

Use three fours to make 11.

mr Goodwill [35]

4 + 4 + 4 - 1 = 11? Was it supposed to be an equation? I am confused.

7 0

3 years ago

A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco

Mademuasel [1]

If the diameter is 16 inches, then its radius is half that, r = 8.

$\bf \textit{surface area of a sphere}\\\\
A=4\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=8
\end{cases}\implies A=4\pi 8^2$

5 0

3 years ago

Can someone help me please

IgorLugansk [536]

A) 4(25-3y)+5y=9
100-7y=9
   91=7y
   y=13
(-14,13)

b) 14-x=x-10
   2x=24
   x=12
(12,14)

c) 4x=12
  (3,7)

d) 18.5x+10.4y=200
   x+y=130

7 0

3 years ago