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2 years ago

10

What is the measure of angle DCE? Use numbers only.

1 answer:

Zarrin [17]2 years ago

4 0

Answer:

156 degrees

Step-by-step explanation

First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.

Hope this helps!

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zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

1 year ago

M is the midpoint of line segment CD. The coordinates M(-1,1) and C(1,-3) are given. Find the coordinates of point D.

dexar [7]

Answer:

All you have to do is use the formula for coordinates of a midpoint of a line segment. If the segment's ends are

A

=

(

x

A

,

y

A

)

and

B

=

(

x

B

,

y

B

)

, then the midpoint has coordinates:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Can someone help please

Naddika [18.5K]

Answer:

I believe the answer is 8 because 8 can go in both 64 and 40.

Step-by-step explanation:

If you divide 64 by 8 then you get 8 and if you divide 40 by 5 you also get 8.

3 0

2 years ago

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Evgesh-ka [11]

Answer:

44 in

Step-by-step explanation:

The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.

Find the circumference with the formula C = $\pi$ d, where d is the diameter

Plug in the values:

C = $\pi$ (14)

C = approx. 44 in

6 0

3 years ago

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daser333 [38]

The answer is C) 24.

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43 - 24 = 19.

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3 years ago