Answer:
16+32÷4+(10-6)2=16+8+8=32
When tan theta = 1 theta = 45 degrees in the first quadrant.
When its = -1 one value of theta is -45 degrees.
Also as the tangent is negative in the second quadrant theta can also be 135 degrees or - 225 degrees.
in fourth quadrant we have 315 degrees.
Its not 225 degrees because the tangent is positive in 3rd quadrant.
Correct answer is a, b, c and e.
When a pen is sold at a discount of 15% there is a gain of rs 10
When the pen is sold at 25% discount there is a loss of rs 2
Therefore the mark price of the pen can be calculated as follows
15% = c.p + 10 rs
25 % = c.p - 2 rs
25%-15% = 10 rs +2 rs
10% = 12 rs
10/100 = 12 rs
0.1= 12 rs
12/0.1
= 120 rs
Hence the mark price of the pen is 120 rs
Answer:

Step-by-step explanation:
We will find the probability of rolling a 5 and then probability of rolling a 3 and then multiply the numbers to get the probability that he will roll a 5 and then a 3 in two rolls.
There are 6 total possibilities (1 through 6).
There are one 5s, so the probability of rolling a 5 would be:
P(roll 5) = 1/6
Also, there is one 3, so rolling a 3 would have the same probability.
P(roll 3) = 1/6
Hence,
Probability of rolling a 5 and then a 3 is:
P(5,3) = 1/6 * 1/6 = 1/36
Elvira already spent $ (78+72+87+90)=$327 on the four orders. The average is $82 so the average is 82x5 =410 . So she has 410-327=83 to spend .
Elvira can spend $83 to keep the average not more than $82