Answer: 4/15
Step-by-step explanation:
1/3= 5/15
2/5= 6/15
5+6=11 So, 11/15
15-11=4
Meaning that there are 4/15 of the books are fiction
Answer:
Since the 1/2c amounts in the question is 6, thus the amount of milk used by the chef for the six pancakes is:
1/2c multiplied by 6= 3c
Step-by-step explanation:
According to the statements, the chef uses different amount of milk in making each pancake. He made a list of 10 pancakes with six of them using 1/2c of milk, thus the combined total amount of milk he made use of for the 1/2c-milk containing pancakes can be determined by adding all the xis together or multiply 1/2c by 6 as mentioned earlier.
1. The answer is C. cos180=-1, sin180=0. 2*(cos180+i*sin180)=2*(-1+0)=-2. Check every other answer, none of which gets -2.
2. The answer is C. cos270=0, sin270=-1. (You can draw out these angles to see). 2*(cos270+i*sin270)=2*(0-i)=-2i, as desired. Other choices don't work.
3. Answer A. Modulus of z is \sqrt(6^2+(-6)^2)=6*\sqrt(2). <span>The </span>angle<span> of the </span>point<span> on the complex </span>plane<span> is the </span>inverse tangent<span> of the complex portion over the real portion. Theta=arctan(-6/6), and arctan(-1)=-pi/4, so theta=-pi/4=-pi/4+2pi=7pi/4. So A is the correct answer.
4. The answer is A. As above, cos270=0, sin270=-1. 3(cos270+sin270*i)=3*(0-i)=-3i. This problem is similar to question 2.
5. </span>z1 = 7(cos 40° + i sin 40°), and z2 = 6(cos 145° + i sin 145°). z1*z2=7*6*(cos 40° + i sin 40°)*(cos 145° + i sin 145°)=42*(cos40*cos145-sin40*sin145+i*sin40*cos145+i*sin145*cos40). Use formula for sum/difference formula of cosines, cos40*cos145-sin40*sin145=cos(40+145)=cos185. Again, sin40*cos145+sin145*cos40=sin(40+145)=sin185. The answer is <span>42(cos 185° + i sin 185°).</span>
Answer:
u think b
Step-by-step explanation:
becuse she is mor likely to draw a vowel
So draw a cross! One line segment is KL and the other Mn
