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GarryVolchara [31]
4 years ago
13

I NEED HELP ON THIS >:(

Mathematics
1 answer:
Gennadij [26K]4 years ago
4 0

Answer:

see the procedure

Step-by-step explanation:

we know that

m∠1+m∠2=180° -----> supplementary angles (form a linear pair)

we have

m∠1=27° ----> given problem

substitute the measure of m∠1 in the equation above and solve for m∠2

27°+m∠2=180°

Subtract 27° both sides

27°+m∠2-27°=180°-27° ----> by subtraction property of equality

m∠2=153°

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6 0
3 years ago
The capacity of a small children's swimming pool is 105 gallons of water. There
gizmo_the_mogwai [7]

Answer:

11.25 minutes

Step-by-step explanation:

The capacity of the swimming pool is 105 gallons of water.

There are currently 15 gallons of water

∴I need to fill (105-15) = 90 gallons of water

Now,

8 gallons of water are filled within 1 minute

∴1 gallon of water  will be filled within = 1/8 minute

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6 0
4 years ago
the sum of two numbers is 133. four times the smaller of the two numbers equals three times the greater number. find the numbera
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8 0
2 years ago
Suppose a cold beer at 40°F is placed into a warm room at 70°F. Suppose 10 minutes later, the temperature of the beer is 48°F. U
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Answer:

69.92°F

Step-by-step explanation:

Given:

Initial temperature ( i.e at time, t = 0) = 40°F

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T'(t) = k(A - T(t))

T(t) temperature after time t

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here, A is the room temperature

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\frac{\textup{dT}}{\textup{dt}}  = k(70 - T)

or

\frac{\textup{dT}}{\textup{70-T}} = kdt

on solving the differential equation, we get

T = 70-C^{-kt} ............(1)

Now from the boundary conditions,

 i.e at time, t = 0; T = 40°F

we get,

40 = 70-C^{-k\times0}

or

C = 30

and,

at time, t = 10; T = 48°F

thus,

48 = 70-30^{-k\times10}

or

k = \frac{\textup{-1}}{\textup{10}}ln\frac{11}{15}

or

k = 0.03

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for t = 25

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T = 70-30^{-0.03\times25}

or

T = 70 - 0.0780

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3 0
3 years ago
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