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3 years ago

I need help for number 6 please

Mathematics

2 answers:

vesna_86 [32]3 years ago

8 0

Answer:

Hi there!

The answer to this question is c=23, b and d=157

this is because c is the vertical angle of a meaning the values are equal

and b is the supplementary angle to a: all you do is subtract 23 from 180 to get 157.

b is vertical to d, so d is also 157

sladkih [1.3K]3 years ago

5 0

Note: this may not be correct, I haven't done angles in a while and kind of forgot most of it but this is what I think the answer is.

Answer: b=157° c=23° d=157°

Step-by-step explanation:

The line goes straight across each other. This creates same angles on either side of the line. Angle C is a reflection of Angle A, so C is also 23°.

Half a full circle is 180°. If angles B and D are less than half a circle, but more than Angles A and C, then:

180-23=157

Angles B and D are 157° each.

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The net rate of change of the amount of salt in the tank at time $t$ is then governed by

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Solve for $Q$ :

$\dfrac{\mathrm dQ}{\mathrm dt}+6Q=3$

$e^{6t}\dfrac{\mathrm dQ}{\mathrm dt}+6e^{6t}Q=3e^{6t}$

$\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}$

$e^{6t}Q=\dfrac{e^{6t}}2+C$

$\implies Q=\dfrac12+Ce^{-6t}$

The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us

$10=\dfrac12+C\implies C=\dfrac{19}2$

so that the amount of salt in the tank at time $t$ is given by

$\boxed{Q(t)=\dfrac{1+19e^{-6t}}2}$

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