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photoshop1234 [79]
4 years ago
6

Lilli jogs 12 mile in 110 hour What is Lilli's rate in miles per hour?

Mathematics
1 answer:
Verizon [17]4 years ago
5 0
The problem requires us to find the rate or speed of Lilli in miles per hour. Therefore, we just have to divide the given data.

12/110 = 0.10909.... Therefore, Lilli's speed or rate is 0.11 mi/hr.
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The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu
rjkz [21]

The balloon has a volume V dependent on its radius r:

V(r)=\dfrac43\pi r^3

Differentiating with respect to time t gives

\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

The surface area of the balloon is

S(r)=4\pi r^2

and differentiating gives

\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}

so that at the moment the radius is 3 m, its area is increasing at a rate of

\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

4 0
3 years ago
How do you change 15/4 into a decimal
Tomtit [17]

Answer:3.75

Step-by-step explanation:

just divide

6 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST PLEASE HELP!!
Anastasy [175]
Hi.

Your answer is going to be

C.) 33

Hope this helps! :)
5 0
4 years ago
Find the two angles and show work!!!
USPshnik [31]

Answer:

x=23.5

Step-by-step explanation:

90=25-x/2+18

combine like terms

90=43-x/2

subtract 43 from both sides

47= -×/2

47/2= 23.5

x=23.5

or

90-25= 65

65-18=47

47/2=23.5

5 0
3 years ago
If θ is an angle in standard position that passes through (-3, 4), find sin2θ.
julia-pushkina [17]

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

we know that the formula for double the value of the angle is:

sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25

sin 2Θ = - 24/25

God is with you!!!

8 0
3 years ago
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