Answer:
yes
Step-by-step explanation:
Step-by-step explanation:
1 minute = 90 words
3.5 minutes = 90 * 3.5 = 315 words.
Hence Jim can type 315 words in 3.5 minutes.
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
Answer:
A
Step-by-step explanation:
Begin with Euler's formula. I am assuming youre aware of this if youre taking complex algebra? You can prove Euler's formula by doing a Maclaurin expansion of cosine, sine, and e^x. Euler's formula states that:
We can put the first complex number in exponetial form by noticing the input is 2pi/3. The second complex number has an input of pi/3. Therefore:
Then:
Simplify the coefficients to get:
When you divide exponentials, you subtract the exponents. Therefore:
Put it back into trigonemtric form using Euler's formula:
Cosine of pi/3 is 0.5, and sine of pi/3 is square root of 3 over 2. We have: