What is the value of this expression when d=3
1 answer:
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Answer:
51.7661748226 degrees; 38.2338251774 degrees
Step-by-step explanation:
First, draw a diagram to illustrate this situation. Looking at angle A, Eric's height, 1.65 m, corresponds to OPPOSITE, and Eric's shadow, 1.30 m, corresponds to ADJACENT. Using SOH CAH TOA, the equation is:
tan(A) = 1.65/1.30
A = arctan(1.65/1.30)
A = 51.7661748226 deg
Looking at angle B, 1.65 m is ADJACENT and 1.30 m is OPPOSITE. Therefore, the equation is:
tan(B) = 1.30/1.65
B = arctan(1.30/1.65)
B = 38.2338251774 deg
Answer:
Step-by-step explanation:
Number 2 first:
See the graph below for a hint. (Do you know how to use Desmos ?)
factoring seems to make no sense for but "guess and check" seems to work. I tried 4 for x, but that proved false. 3 for x made sense. You get
so -9 +6 +4 = 1 is true. So (3,1)
x+y=4 becomes 3 + 1 = 4 Also true
According to the graph, (0,4) would also be a solution, so (3,1) and (0,4)
Part 1:
Factor as
set each equal to 0 and get
x = -3 and x = -1 so the solutions seem be (-3,0) and (-1,0)
y = 2x + 6 factors to 2(x +3)
(-1,0) doesn't work!
But Desmos shows something else as a solution set for both:
(1,8)
y=2x+6 substitute values 8=2(1) +6 8=2+6 True
y = . Substitute values
8= 1+4+3 True
