Answer:
19.5
Step-by-step explanation:
Here is a key factors in triangles, it must add up to 180 degrees.
You have three angles in a triangle ABC,
A = 127
B = 33.5
C = ?
In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5
CHECK:
Add 127+33.5+19.5 = 180! Yes!
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Answer:
405 of the students
Step-by-step explanation:
Answer:
(4%) ... $8200
Step-by-step explanation:
x + y = 15000
.04x + .032y = 545.60
y = 15000 - x
.04x + .032(15000 - x) = 545.60
.008x = 65.6
x=8200
Answer:
13.400
Step-by-step explanation:
Lets start with 416 First go to the 6 and since its over 4 we can automatically know that it makes the 1 in 416 to a 2 and the 2 cannot go up any higher so we make everything else below 4 a zero.
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³