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3 years ago

PLS, I'm begging for help, il give the brainiest to who gives me the right answer! THIS IS 30 POINTS

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Answer:

Similarity doesn't changes angle measures

∠U = 56°, ∠U' = 3x - 16
∠U = ∠U'

a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°

b) ∠T = x + 46 = 24 + 46 = 70°

c) Scale factor:

k = S'T'/ST = 19/57 = 1/3

Find y using known sides and scale factor:

U'V'/UV = 1/3
(y + 4)/63 = 1/3
y + 4 = 21
y = 21 - 4
y = 17

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Use Law of Cooling:
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At some time "t", it is brought back inside at temperature "x".
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The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
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Solve for t:
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