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vlabodo [156]
3 years ago
7

Brett rolled a pair of number cubes 36 times. He rolled a sum of 7 for 12 of

Mathematics
1 answer:
Liula [17]3 years ago
6 0
The answer is : (B) c
5
18
1
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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
Which of the following numbers is not between -2.6 and 1.3 on the number line?
Naya [18.7K]

Answer:

1.4

Step-by-step explanation:

-2.6---------------1.3

0.5 is between

-2.1 is between

1.4 is not between

-1.8 is between

7 0
3 years ago
Find the amount to be paid at the end of 3years in each case. a) principal =1,200 at12% p.a​
Viktor [21]

Answer:

$1632

Step-by-step explanation:

Given data

Principal= $1200

Rate= 12%

Time= 3 years

The simple interest expression is given as

A= P(1+rt)

substitute

A=1200(1+0.12*3)

A=1200(1+0.36)

A=1200*1.36

A=$1632

Hence the amount is $1632

4 0
3 years ago
Solve: q + 24 = 24 A. q = 8 B. q = 2 C. q = 3 D. q = 0
vekshin1

Answer:

Hi! The answer to your question is D. q = 0

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

3 0
3 years ago
HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C​
OLEGan [10]

Answer:

Which subject is this . please tell

5 0
3 years ago
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