The question is : The firehouse is shown in the shape of a composite figure, how many cubic yards of space are in the fire house
?
1 answer:
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Answer:
The sequence of functions converges to the function
.
Step-by-step explanation:
The limit exists and converges to zero whenever
. But, if
the sequence
is constant and all its terms are equal to
, then converges to
. Using this result, consider the sequence of functions
defined on the interval
by
. Then, for all
we have that
. Now, if
, then
. Therefore, the limit function of the sequence of functions is
.
To show that the convergence is not uniform consider . For any
choose
such that
. Then
This implies that the convergence is not uniform.
Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
