Answer:
60 : 4 :: 90 : c proportion
60c = 4(90) product means/extremes
60c = 360
c = 6
Or 90 is 1.5 times 60, therefore you need 1.5 times 4 cups.
Answer:
(-4a + b – 2c) – (3a + 2b –c)
-4a+b-2c-3a-2b+c
-7a-b-c
Step-by-step explanation:
Answer:
Step-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>First, find the missing side using the Pythagorean Theorem:</u>
c²=a²+b²
65²=a²+16²
4225=a²+256
3969=a²
63=a
<u>Therefore:</u>
sinα = opposite/hypotenuse = 63/65
cosα = adjacent/hypotenuse = 16/65
tanα = opposite/adjacent = 63/16
sinβ = opposite/hypotenuse = 16/65
cosβ = adjacent/hypotenuse = 63/65
tanβ = opposite/adjacent = 16/63