Answer:
a) ±0.73
b) ±3%
Step-by-step explanation:
One side of the right angle triangle is 12cm
The opposite angle(x) is 30 degree
Possible error = ±1degree
a) Let the hypotenus= h
h/12 = cosecx
h = 12cosecx
Differentiate h with respect to x
dh= -12cosecxcotcdx
The possible error in the angle measurement is dx
dx= ±1degree
Convert degree to radians
dx = ±1*π/180
dx = ± π/180
Put x and dx into dh
dh = -12cosec30cot30(±π/180)
= -12(2)(√3)(±π/180)
= -24√3(±π/180)
= ±24π√3/180
= ±0.73
b) To find the percentage error, recall that
dh = 12cosecx
dh = 12cosec30
dh = 12(2)
= 24
Percentage error =
(change in value/initial value) 100
Percentage error = (dh/h)100
= (±0.73/24)100
= ±0.030*100
= ±3%
$220.30 will be ur final answer
Answer:
-17.8884
Step-by-step explanation:
- 6.444 - 3.2222 - 8.2222 = -17.8884
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
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8% = 96.72
$1,341.99 - $96.72 = $1245.27
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Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
Answer:
about 13.73 square feet
Step-by-step explanation:
We presume you want the area of the figure.
It can be decomposed into a triangle with base 3.6 ft and height 4.8 ft, together with a semicircle of diameter 3.6 ft.
The area of the triangle is given by ...
A = 1/2bh
For the given base and height, this is ...
A = (1/2)(3.6 ft)(4.8 ft) = 8.64 ft²
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The radius is half the diameter, so the radius of the semicircle is 1.8 ft. The area of a whole circle of radius 1.8 ft is given by ...
A = πr² = π(1.8 ft)² = 3.24π ft²
We want the area of half the circle, so its area will be ...
semicircle area = (1/2)(3.24π ft²) = 1.62π ft² ≈ 5.089 ft²
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Then the total area of the figure is ...
total area = triangle area + semicircle area
= 8.64 ft² + 5.09 ft²
total area = 13.73 ft²