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3 years ago

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A farmhouse shelters 10 animals. Some are pigs and sone are ducks. Altogether there are 36 legs. How many of each animal are the

re?

1 answer:

german3 years ago

7 0

8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.

There are 8 pigs and 2 ducks.

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What is the measure of < DBC

notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

In diagram ∠D B C + ∠A B D = 90°

6 x+5 + 8 x +1 = 90

14 x + 6 = 90

14 x = 90 -6

14 x = 84

<em> x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em> ∠A B D = 8(6) +1 = 49°</em>

<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>

3 0

3 years ago

Read 2 more answers

Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten

Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

$Q(t) = Q(0)e^{-rt}$

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that $Q(12) = 0.5Q(0)$

So

$Q(t) = Q(0)e^{-rt}$

$0.5Q(0) = Q(0)e^{-12r}$

$e^{-12r} = 0.5$

$\ln{e^{-12r}} = \ln{0.5}$

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

$r = -\frac{\ln{0.5}}{12}$

$r = 0.05776$

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

$Q(t) = Q(0)e^{-rt}$

$50 = 200e^{-0.05776t}$

$e^{-0.05776t} = 0.25$

$\ln{e^{-0.05776t}} = \ln{0.25}$

$-0.05776t = \ln{0.25}$

$0.05776t = -\ln{0.25}$

$t = -\frac{\ln{0.25}}{0.05776}$

$t = 24$

It would take 24 minutes for the element to decay to 50 grams

6 0

3 years ago

Here is a question for you

dimaraw [331]

Answer:

3/8

Step-by-step explanation:

they simply combined the like terms (aka the x numbers in this case) so all that's left is 3/8

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What are the coordinates of B(-4, -5) under a 180 degree rotation about the origin?

polet [3.4K]

Answer:

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Step-by-step explanation:

Under a rotation about the origin of 180°

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B(- 4, - 5 ) → (4, 5 )

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Illusion [34]

Answer:

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Step-by-step explanation:

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2 years ago