Answer:
its microwave
Step-by-step explanation:
Answer:
A. The pattern is you multiply by 5
B. All 6 prizes are 25,000 and 5,000 and 1,000 and 200 and 40 and 8
C. ??
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
Explanation:
First you need to put the same base for both numbers, finding the minimum common multiple of 4 and 8, that's 8.
Turning 1/4 in a number with 8 as base: first, divide 8 : 4 = 2. Then multiply 1/4 x2 and it will be 2/8.
Then you're able to calculate it: keep the base and add the tops
2/8 + 3/8 = 5/8
Answer:
x = 3
Step-by-step explanation:
We can write the equation as 16 + x = 19
To solve we can work backwards, I know the opposite of adding is subracting... so 19 - 16 = 3 which means x is equal to 3.
Hope that helps and have a great day!
T=-1
sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.
Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.
The hard way:
cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.
Let s=sinA and c=cosA, then s²+c²=1.
cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).
s=c(4c²-3) is the original equation.
Let t=tanA=s/c, then c²=1/(1+t²).
t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).
So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).
So t=-1 is a solution.
t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.
Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:
A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.
Replacing π by 180° converts the solutions to degrees.
