All categories

3 years ago

Law of cosines: a2 = b2 + c2 -2bccos(A) What is the value of s to the nearest whole number?

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

8 0

Answer:

Step-by-step explanation:

The law of cosines is a² = b²+c²-2bc(cos A).

We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.

Angle A will be the angle opposite side a, or in this case side s. This makes it 111.

This gives us

s² = 8²+9²-2(8)(9)(cos 111)

s² = 64+81-2(8)(9)(cos 111)

s² = 145-144(cos 111)

s² = 196.605

Take the square root of each side:

√(s²) = √(196.605)

s = 14.02 ≈ 14

tatiyna3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

Who need 100 thanks ?? follow for thanks..

SSSSS [86.1K]

Answer:

hlo dear

hope you are doing well

4 0

2 years ago

Read 2 more answers

Researches notice a grey whale cruising at a depth of 2333 feet below sea level. It rises 73 feet and then comes up another 40 f

Karo-lina-s [1.5K]

Answer:

2220

Step-by-step explanation:

you subtract 2333-73=2260

then subtract 2260-40=2220

6 0

2 years ago

If g(x) is the inverse of f(x)=4x+12 and f(x)=, what is g(x)

Nitella [24]

Hello,
f(x)=y=4x+12

x=4y+12
==>4y=x-12
==>y=x/12- 3

g(x)=x/12 -3

6 0

3 years ago

Read 2 more answers

What is 2x x54 <br> people with the best answer get a friend reqised

sergejj [24]

2x X 54 is going to be 108x

since both are positive you will get a positive #
54 X 2 is 108

6 0

3 years ago

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li

motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

$P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\$

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

$P(a|b)=\frac{P(a \ and\ b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594$

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0

2 years ago