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%
Answer:
the answer is 38.5
Step-by-step explanation:
Answer:
$620
Step-by-step explanation:
Let the price of refridgerator be "r"
price of washer be "w"
and
price of dryer be "d"
Total 1800, that means, we can write:
r + w + d = 1800
Also, refrigerator cost 250 more than washer, so we can write:
r = w + 250
The dryer is HALF (0.5) of washer, so we can write:
d = 0.5w
Now, we replace equation1 with equation 2 & 3, so get an equation in "w" and solve for w:
r + w + d = 1800
w + 250 + w + 0.5w = 1800
2.5w + 250 = 1800
2.5w = 1800 - 250
2.5w = 1550
w = 1550/2.5
w = 620
Thus, the washer costed $620
Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
- linear: constant differences
- exponential: constant ratios
- inverse: constant products
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<h3>7.</h3>
In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
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<h3>8.</h3>
As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.