Answer:
1a. 1.5
1b. 0.38
Step-by-step explanation:
a.
one full grid is full (1) and half a grid is full (0.5)
b.
there are 100 squares and 38 of them are filled in,so you divide 38 by 100 which is 0.38
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
Answer:
9
Step-by-step explanation:
Given that the sample size is 45 blocks
Let number of red blocks in the bag to be x
Then the probability of chosing a red block will be x/45
Given that the probability of choosing a red block is 1/5 then you can form the expression;
x/45 = 1/5 ---------------find the value of x by performing cross multiplication
5x=45*1
5x/5=45/5
x=9
Answer
Julia put 9 red blocks in the bag.
8/10 or 4/5 is what makes up the remaining oceans
