Answer:
0.3²+3
=3.27
Step-by-step explanation:
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Area of paralellogram=legnth times height
l=legnth
h=height
area=96
lh=96
h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12
l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion
legnth=12cm
Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
Answer:
3: 1/4 4:1/2 5: 27/32 6: 1/5 7: 1/6 8: 5/6
Step-by-step explanation:
