Lowest to highest:
1/2 , 2/3 , 0.75 , 2
Answer:
B 10.75
Step-by-step explanation:
So after the decimal, the nine would be the tenth, the six would be the hundredth, and the seven would be the thousandth.
we will be rounding to the 6. Since the next number (the 7) is 5+ we round up
that will make 1.967 become 1.97
Answer: B and D
Step-by-step explanation:
First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.
Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:
When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:
Hello from MrBillDoesMath!
Answer: (sin(@)) ^2 + (cos(@)) ^2 = 1 for all angles @.
Discussion
;
Take a point, say in the first quadrant. on a unit circle (circle with radius 1) Let that point by (x,y). The from the Pythagorean theorem.
x^2 + y^2 = r^2 or as r = 1
x^2 + y ^2 = 1 ("Equation 1")
If you drop a line from (x,y) perpendicular to the x axis you find that
y = r [email protected] or y = [email protected] as r =1.
and
x = r [email protected] or x = [email protected] as r = 1
(Look at the triangle formed by the radius, the perpendicular line and the positive x axis). Substitute these x and y values in Equation 1 above. This gives
([email protected])^2 + ([email protected])^2 =1
which is true for all angles. This is a key "pattern" or identity that you should commit to long term memory!
Regards, MrB