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3 years ago

10

In the diagram, line A F is a side of regular hexagon ABCDEF inscribed in circle O. what is mFDA?

1 answer:

alekssr [168]3 years ago

5 0

Since it is a regular hexagon, all 6 sides are the same length. That means that the 6 vertices divide the circle into 6 equal arcs. 360/6 = 60° for each arc. The arch between A and F is an intercepted arc for ∠FDA, and we know that inscribed angles are 1/2 of the measure of the intercepted arc. Since the arc measures 60°, that means that the angle would be 30°.

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A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which

xxTIMURxx [149]

After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We know the decay can be as:

$\rm C = a(1-r)^t$

We have:

a = 470 grams

r = 3% = 0.03

t = 6 hours

$\rm C = 470(1-0.03)^6$

C = 391.49 grams

Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

Learn more about the exponential decay here:

brainly.com/question/14355665

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3 0

2 years ago

Show all work to write the expression in simplified rational exponent form:

tatyana61 [14]

Answer:

$x^{\frac{1}{2} } + 48$

Step-by-step explanation:

This is hard to explain, but basically you use exponent rules to switch it to an exponent

$(\sqrt[4]{x^{2} +4} )^{3}$

It's easiest if you calculate $4^{3}$ first

4³ = 4 x 4 x 4 = 48

Then convert the root to a fraction exponent

$\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }$

Combine them using addition, since addition was in the problem

$x^{\frac{1}{2} } + 48$

I hope this helps!

7 0

2 years ago

1- 1/4 + 2/5= please help

zlopas [31]

Answer:

1.15:)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What’s up my dude. Help me with the problem

AnnZ [28]

Answer:

35

Step-by-step explanation:

4/14 divided by 2/2 is 2/7 and then 2/7 times 5/5 is 10/35 so its 35

4 0

3 years ago

John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart

Rina8888 [55]

<h2>Answer:</h2>

$Probability=\frac{1}{24}$

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

$Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}$

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is $\frac{1}{24}$ </u></em>

3 0

3 years ago