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2 years ago

If the scale factor from shape A to B is 5. What is the scale factor from shape B to A?

Mathematics

1 answer:

OLga [1]2 years ago

6 0

Answer:

1/5

Step-by-step explanation:

You need the opposite of 5/1 which would be 1/5

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Which of the following ratios would form a proportion with 2/3?

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7. Which expression is equivalent to -2v + (-4) +8+(-3)?

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3 years ago

A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re

fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer $E_0$ and the current temperature $E(t)$ where $t$ is the elapsed time in minutes. The outside temperature is 20 F.

Newton's Law of Cooling:

$E(t) - 20 = (E_0 - 20) e^{- k t}$

We're given $E(1)=70 \textrm{ and } E(5)=45$

$70-20 = (E_0 - 20) e^{-k}$

$45-20 =(E_0 - 20) e^{-5k}$

Dividing,

$\dfrac{50}{25}=e^{4k}$

$k = \dfrac 1 4 \ln 2$

Now,

$E(t) - 20 = (E_0 - 20) e^{- k t}$

$E_0 = 20 + (E(t) - 20)e^{k t}$

$E_0 = 20 + (E(1) - 20)e^{k}$

$E_0 = 20 + (70 - 20)e^{\ln 2/4}$

$E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}$

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4 years ago

Plzzz help!! (Show work)

kompoz [17]

Answer:

3. 273

4. 168

5. 189.25

Step-by-step explanation:

3. Triangle= .5 x 17 x 6 = 21

Rectangle= 18 x 14 = 252

252 + 21 = 273

4. Big rectangle (shaded)= 11 x18= 198

Small rectangle (right)= 5x4=20

Smaller rectangle (left)= 2x5=10

BR - (SR+SMR)

198-30=168

5. radius=5

Area of the circle= 25(pi)

Semi-circle= 39.25(not exact)

Rectangle= 10 x15=150

Rectangle + Semi-circle

150+39.25=189.25

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3 years ago