Answer:
2.33 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = AC / BC
tan 25 = AC / 5
Multiply each side by 5
5 tan 25 = BC
2.331538291 = BC
To the nearest hundredth
2.33 = BC
The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium.
<h3>Can this atrium be built in the rectangular plot of land?</h3>
The atrium with the <em>maximum allowable</em> radius (<em>R</em>), in feet, is represented in the image attached. The <em>real</em> atrium is possible if and only if the <em>real</em> radius (<em>r</em>) is less than the maximum allowable radius and therefore, the <em>real</em> volume (<em>V</em>), in cubic feet, must be less than than <em>maximum possible</em> volume (<em>V'</em>), in cubic feet.
First, we calculate the volume occupied by the maximum allowable radius:
<em>V' =</em> (8 · π / 3) · (45 ft)³
<em>V' ≈</em> 763407.015 ft³
The <em>proposed</em> design of the atrium (<em>V < V'</em>) is possible since its volume is less than the <em>maximum possible</em> atrium. 
To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/13338592
<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

<em><u>Solution:</u></em>
<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

To find the time interval in which the object is at a height greater than 300 ft
Frame a inequality,

Solve the inequality
Subtract 1000 from both sides


Time cannot be negative
Therefore,
t < 6.61
And the inequality used is: 
Answer:
Step-by-step explanation:
whaaaaaaaaaaaat??? hi by the way
Answer:
$30.95
Step-by-step explanation:
There are 12 months in a year. $371.40 divided by 12 gives us $30.95.