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Molodets [167]
3 years ago
12

Given the diagram below what is m d

Mathematics
2 answers:
maksim [4K]3 years ago
6 0

Answer:

72 degrees

Step-by-step explanation:

Not only is the trapezoid symmetric in this image, but you can find the sum of angles using 180(n-2), where n is the number of sides.

A trapezoid has 4 sides.

180(4-2) = 360

All the angles should add up to 360.

Then add and subtract.

360 - (108 + 108 + 72) = 72 degrees

This is a good way to check your answer.

Effectus [21]3 years ago
6 0

Answer:

it  is  72 degrees

Step-by-step explanation:

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Click the picture that I sent you
Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

5 0
3 years ago
I need help please and ty 2 questions in math for a lot of points
Vlad1618 [11]

Answer: ok we will help

Step-by-step explanation:

he need our help

4 0
3 years ago
Find the derivative of 3e^y+x=y
Sindrei [870]

You have the following function:

y=3e^y+x

Derivate implictly the previous expression, as follow:

y^{\prime}=3e^yy^{\prime}+1

Where you have used that:

(e^y)^{\prime}=e^yy^{\prime}

Then, the implicit derivative of the given expression is:

y^{\prime}=3e^yy^{\prime}+1

Next, solve for y' as follow:

\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}

4 0
1 year ago
One number is 5 more than the other. Their sum is 33. Find the numbers.
dimaraw [331]

Answer:

19,14

Step-by-step explanation:

x=5+y

x+ y= 33

we will solve using substitution

(5+y) +y= 33

5+y+y=33

5+2y=33

subtract 5 from both sides

2y=28

y=14

We got y now we will find what x is

for this, we will substitute y's value (14) into the first equation

x=5+(14)

x=19

we got x too

3 0
3 years ago
Solve: 5 - 3x &lt; 20<br> Help
Fed [463]

Answer:

hope this helps

Step-by-step explanation:

x > −5

7 0
3 years ago
Read 2 more answers
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