Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
The answer is c. alternate interior angles are congruent..
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Answer:
Step-by-step explanation:
x + y = -20......multiply by -6
6x - 5y = -20
-----------------
-6x - 6y = 120 (result of multiplying by -6)
6x - 5y = -20
---------------add
-11y = 100
y = -100/11 <======
x + y = -20
x + (-100/11) = -20
x - 100/11 = -20
x = -20 + 100/11
x = -220/11 + 100/11
x = - 120/11 <========
solution is : x = -100/11 and y = -120/11 or (-120/11 , -100/11)
Answer:
The polynomial is an approximation with an error less than or equals to <em>0.002652</em> for x in the interval
[-1.113826815, 1.113826815]
Step-by-step explanation:
According to Taylor's theorem
with
for some c in the interval (-x, x)
In the particular case f
<em>f(x)=cos(x)
</em>
<em>
</em>
we have
therefore
and the polynomial approximation of T5(x) of cos(x) would be
In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that
for some c in (-x,x). So
and we must find the values of x for which
Working this inequality out, we find
Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval
[-1.113826815, 1.113826815]