Answer:
Arnold descended a distance of 5,250 ft after his parachute opened
Step-by-step explanation:
Here in this question, we want to know the distance Arnold descended after his parachute opened.
Mathematically, we know that distance = speed * time
In this case;
The speed is the rate at which he descended = 70 ft per second
Now the time is 1 minute and 15 seconds; since 1 minute is 60 seconds, then 1 minute and 15 seconds is 60 + 15 = 75 seconds
So what we are saying is he descended at a rate of 70 ft per second for 75 seconds
Thus, his distance of descent will be 70 ft per second * 75 seconds = 5,250 ft
Answer:
25.98units³
Step-by-step explanation:
Area of the triangular prism = Base Area * Height of the pyramid
A = BH/3
Get the area of the triangle
Area of the triangle = 1/2 Base * height
Base of the triangle = 5
height = √5²-2.5²
h = √25-6.25
h = √18.75
h = 4.33
Area of the triangle = 1/2 * 4.33 * 5
Area of the triangle = 10.82
Base area = 10.82
Get the area of the triangular pyramid
Area of the triangular pyramid = 10.82*7.2/3
Area of the triangular pyramid = 25.98units³
Hence the area triangular pyramid is 25.98units³
Answer:
<h2><em><u>3</u></em></h2>
Step-by-step explanation:
<h3>
<u>Given</u><u> </u><u>question</u><u>:</u></h3>
<em>To</em><em> </em><em>simplify</em><em> </em><em>-</em><em> </em>

<h3>
<u>Solution</u><u>:</u></h3>
<em>According</em><em> </em><em>to</em><em> </em><em>PEMDAS</em><em> </em><em>rule</em><em>,</em>
- <em>[</em><em>First</em><em> </em><em>parenthesis</em><em>]</em>


- <em>[</em><em>Then</em><em> </em><em>exponents</em><em>]</em>

- <em>[</em><em>Then</em><em> </em><em>multiplication</em><em>]</em>
= 14 + 16 ÷ 8 - 21 ÷ 7 - 10
- <em>[</em><em>Then</em><em> </em><em>division</em><em>]</em>
= 14 + 2 - 3 - 10
- <em>[</em><em>Then</em><em> </em><em>addition</em><em>]</em>
= 16 - 13
- <em>[</em><em>Then</em><em> </em><em>subtraction</em><em>]</em>
= <em><u>3</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
Step-by-step explanation:
Volume of cylinder:

<u>Bottom cylinder:</u>
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
<u>Upper cylinder:</u>
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.