Answer:
60 or 60:1
Step-by-step explanation:
You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.
Answer: 1. ( 9r - 8 ) x ( r - 2 )
2. ( 5b - 3 ) x ( 5b + 3 )
Step-by-step explanation:
Let's factor the following polynomial to find the roots:
x2-13x + q = 0
Factoring we have:
(x-12.5) * (x + a)
Where,
-12.5 + a = -13
a = -13 + 12.5
a = -0.5
We now look for the coefficient q:
q = -12.5 * a
q = -12.5 * (- 0.5)
q = 6.25
The polynomial will then be:
x2-13x + 6.25 = 0
Its roots are:
x1 = 12.5
x2 = 0.5
Answer:
The other root and the value of the coefficient are:
0.5 and 6.25 (Respectively)
Your Grandma sews you a big quilt filled with triangles. What is the area of the blue triangle in the middle? The base length is 28mm and the height is 40mm
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Answer:
±2.18 cm
Step-by-step explanation:
The definition of the sine of an angle (θ) is ...
Sin = Opposite/Hypotenuse
Then the hypotenuse (h) is found from ...
h = Opposite/sin(θ)
Differentiating with respect to θ gives ...
dh/dθ = Opposite×(-cos(θ)/sin²(θ))
For the given numbers, this is ...
dh/dθ = (36 cm)×(-√3/2)/(1/2)² = -72√3 cm/radian
The error of ±1° corresponds to ±π/180 radians, so the error is estimated to be ...
error = (dh/dθ)Δθ = (-72√3 cm/radian)(±π/180 radians) = ±0.4π√3 cm
error = ±2.18 cm
