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3 years ago

Find the missing side length leave your answers as radicals in simplest form

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Answer:

Step-by-step explanation:

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There are 8 boys in a class of 15 students. (a) what is the ratio of boys to girls? (b) whatis the ratio of all students in clas

Kisachek [45]

8/15 and all students to girl is 8+15 so 23/15

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3 years ago

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A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

andriy [413]

It will be -5 I pretty sure but I’m not sure

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2 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

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3 years ago

A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π? V = π in.3

Harrizon [31]

Answer: 288pi in3

Step-by-step explanation:

Volume of a sphere= 4/3pir^3

R=6inches

V=4/3pir^3

V=4/3pi(6^3)

V=4/3pi(216)

V=864pi/3

V=288pi in^3

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2 years ago

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URGENT!!!! What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth. 9.23 units 10.20 units 10.9

serg [7]

The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
A(x₁,y₁) & B(y₂,y₁)

AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2

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2 years ago

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