Answer:
ds/dt=69743.35m^2/min
Step-by-step explanation:
The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_0t 0 t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?
If i could understand the question correctly, the typos notwithstanding
r=radius, 555m
dr/dt=rate of change in radius 5m/min
ds/dt=rate of change in surface area ?
S=area of a sphere 4
ds/dt=ds/dr*dr/dt.................................1
ds/dr=differentiation of the area of a sphere=
ds/dt=
*5
ds/dt=69743.35m^2/min
The surface area of the sphere will change by 69733.35 square meters for every minute.
<em>Greetings from Brasil... </em>
Check Attachment!!!
According to the statement of the question, we have:
a/b = 3/4
<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>
Isolating a and b:
a = 3b/4
b = 4a/3
From Pythagoras:
h² = a² + b² - as a = 3b/4 and b = 4a/3, so
<h3>b = 4h/5</h3><h3>a = 6h/5</h3>
For Area:
A = b.a/2
as b = 4h/5 and a = 6h/5, so
<h3>A = 12h/25</h3>
Answer:
You can display data in a histogram by labeling the x and y axis with your numbers provided. Then you put in the amount of numbers.
The slope definitions:
The
slope is the change in y divided by the change in x.
The
slope is the ratio of rise to run.
The
slope is the rate of change of the function at a certain point.
The
slope is the first derivative of a function.
The
slope is the tangent of the slant/inclined angle
So we are interested in this one: "The
slope is the ratio of rise to run"
Logically, the gas in the tank decreases as the distance traveled increases.
So they are inversely proportional.
Let's look at the scale of the axis now///
After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance
I hope that
helps!
I am with you if you faced any difficulties!
9/100 is less because if we multiply 7/10 by 10 (to get an equivalent fraction with a denominator the same as the other fraction [100]) we get 70/100, which is way more than 9/100.
So, 7/10 is greater than 9/100
Hope this helps!
