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3 years ago

How in the heck do I do this?

Mathematics

1 answer:

Fudgin [204]3 years ago

6 0

The measure of a triangle is 180 degrees. In other words the sum of the angles of a triangle is 180 degrees

To solve for x set all of the expressions of angles equal to 180 and isolate x

11x - 3 + 7x + 5 + 13x - 8 = 180

31x + (- 6 + 6) = 180 + 6

31x/31 = 186 / 31

x = 6

To find the measure of each angle plug 6 into the x into each individual expression

Hope this helped!

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Which of the following will result in a rational answer?

Brrunno [24]

I think the answer is d

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2 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

2 years ago

Name the rays on line c.

tatuchka [14]

Answer:

BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD

Step-by-step explanation:

"BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD" Are all the possible rays on line c.

6 0

3 years ago

2/5 + 1/6 = please show work thanks

Genrish500 [490]

Answer:

17/30

Step-by-step explanation:

2/5 + 1/6 = 17/30

Make them easier to add by making them have the same denominator.

2/5 = 12/30

1/6 = 5/30

12/30 + 5/30 = 17/30

6 0

3 years ago

Read 2 more answers

Which graph represents the given inequality y > 3x - 1

yuradex [85]

Answer:

Y int. should be at -1 and it should be shaded above the line. Also it should increase by 3/1.

4 0

3 years ago

How in the heck do I do this?​

How in the heck do I do this?