1. 5pq =5(4)(-3) = 20(-3) = -60
2. pr+q = (4)(-2) = (-3) = -8 + (-3) = -11
Answer:
x= √10/2
Step-by-step explanation:
if you use trig. functions:
sin 45° = opposite side /hypothenuse = x/√5
sin 45° = √2/ 2
√2/2 = x/√5 multiply both sides by √5
x= (√2*√5)/2 = √10/2
if you use that is a 45-45-90 special triangle
the sides are x, and hypothenuse must be x√2 in this type of triangles so in our case:
x√2 = √5 divide both sides by √2
x= √5/√2 multiply by √2/√2 which =1 and help us get rid of the radical from the denominator
x= (√5*√2)/ (√2*√2) = √10/2
Answer:
6/20 = 3/10
Step-by-step explanation:
Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.
Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.
Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10
A rational number is any number that can be written <em>as a ratio of two integers</em>.
0.62 fits the bill, as it can be written as the ratio 62/100 (or simplified to the ratio 31/50)
