Answer:
x=69.41860973
Step-by-step explanation:
We can use the law of sines
sin x sin 55
------------- = -----------
4 3.5
Using cross products
3.5 sin x = 4 sin 55
Divide each side by 3.5
sin x = 4/3.5 sin 55
Take the inverse sin of each side
x = sin ^-1 ( 4/3.5 sin 55)
x=69.41860973
4. 3(3) + 2
(3 x 3) + 2 = 11
5. -(-6) -7
(+)6 -7 = -1
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒ 
⇒ 
Using value of sin 29°
⇒ 
Cross multiplying both side.
⇒ Sin B= 
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒ 
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.

⇒
Using the value of sine and cross multiplying both side.
⇒ C= 
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle= 
∴ Perimeter of triangle= 63.9 units
Answer:
0.097 is the probability that the entire batch will be rejected
Step-by-step explanation:
The total number of CDs = 6500
Number of defective CDs = 110
Number of good CDs = 6500-110 = 6390
Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is
1 – [probability of accepting the entire batch]
1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]
= 0.097