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3 years ago

What is the speed of a sailboat thats is traveling 100 meters in 120 seconds

Mathematics

1 answer:

lys-0071 [83]3 years ago

7 0

Given:

100m = distance

120s = time

Asked:

Speed = ?

Formula:

Speed = d/t

Solution:

Speed = 100m/120s

Speed = 0.83333333333

Speed = 0.83m/s

Final Answer:

The speed of the sailboat is 0.83m/s

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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.

laila [671]

Answer:

Question 1: 0.081 min⁻¹

Question 2: 168ºF

Explanation:

The missing equation is:

$T=T_a+(T_0-T_a)e^{-kt}$

You are given:

Ta = the temperature surrounding the object = 73ºF
T₀ = the initial temperature of the object = 204ºF
t = 2.5 min
T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

$180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}$

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

$T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF$

4 0

3 years ago

The height, h, in feet of a gold ball above the ground after being hit into the air is given by the equation. H=-16t2+64t, where

stiv31 [10]

Answer:

4 seconds

Step-by-step explanation:

Given : $H = -16t^{2} +64t$

To Find: How many seconds does it take for the golf ball to hit the ground?

Solution :

Since we are given an equation : $H = -16t^{2} +64t$

Where H denotes height

t denotes the number of seconds elapsed since the ball was hit.

When he golf ball to hit the ground at that time the height becomes 0

So, put H = 0 in the equation

$H = - 16t^{2} +64t$

$0 = - 16t^{2} +64t$

$16t^{2} = 64t$

$16t = 64$

$t =\frac{64}{16}$

$t =4$

Thus it take 4 seconds for the golf ball to hit the ground

4 0

3 years ago

C IT W D B 6 20 HELP PLEASE

nikdorinn [45]

answer:

step bye step?

soalnya itu dibagi w = b6 maaf kalo salah wkwk

7 0

3 years ago

A dress is on sale for 15% discount, meaning 85% of the price remains. If the sale price of the dress is $51, then the original

ira [324]

Answer:

Step-by-step explanation:

let the original price=x

85 % of x=51

$x=51*\frac{100}{85} =60$

5 0

3 years ago

What is the ratio of 8 to 60 written as a fraction in lowest terms

Sedaia [141]

Answer:

2/15

Step-by-step explanation:

8/60

Divide the top and bottom by 4

8/4 =2

60/4 = 15

2/15

3 0

3 years ago

Read 2 more answers