#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Step-by-step explanation:
It's a product, and one of the factors is 7.
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Answer:
606.25
Step-by-step explanation:
Step 1: D for Divide. How many times will 5 go into 65? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
When subtracting a number from a negative (like question one) the subtraction sign will now be an addition sign.
1.
6-(-7)=13
For question 2, its simple subtraction. If you subtract a negative from positive, it'l be a negative.
2.
-3 - 3= -6
3.
-15 - 23 = -38
Now we combine my previous explanations. Subtracting a negative from a negative will be like adding (like in question 4)
4.
-9 - (-5)= -4
5.
5 - (-15)=20
6.
78-(-17)=95
Extra Info:
When adding a number (doesnt matter if positive or negative) to a negative it will turn into subtraction.
Examples:
6+(-9)=-3
-9+(-9)= -18
