Somebody, please help me it's URGENT

I suck at figuring out the radius of a circle :c<br> Can someone help please :(

kvv77 [185]

First question:

The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.

Let $r$ be the radius of the circle.

We have a right triangle where the legs are $r$ and $40$ , and the hypotenuse is $(20+r)$

I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).

Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:

$r^2+40^2=(20+r)^2$

Simplify the right side so it's easier to solve

$r^2+1600=400+40r+r^2$

Subtract both sides by r²

$1600=400+40r$

Subtract both sides by 400

$1200=40r$

Divide both sides by 40

$r=30$

The value of r is 30, meaning the radius is 30 feet.

Second question:

Please look at the attached image, it would be too hard to try and describe this in words.

We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.

The hypotenuse is the radius, x.

Use Pythagorean Theorem's to solve for x

$3.6^2+4^2=x^2$

Simplify

$x^2=28.96$

Use a calculator to take the square root of 28.96

$x=5.3814...$

The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:

To the nearest tenths: $x=5.4$

To the nearest hundredths: $x=5.38$

To the nearest thousandths: $x=5.381$

Answerer's Note:

I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!

~ Padoru

3 0

2 years ago

Tayâ€“Sachs Disease Tayâ€“Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri

BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that $p = 0.25$

Three children:

This means that $n = 3$

Question a:

This is P(X = 3). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156$

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219$

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tayâ€“Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

$p = 0.75*0.75*0.25 = 0.1406$

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

6 0

2 years ago

What is the sum of the finite arithmetic series 4+8+12+16...+76

Alexxx [7]

A(n)=4+4(n-1)

a(n)=4+4n-4

a(n)=4n

76=4n

n=19

The sum of any arithmetic sequence (series are infinite) is:

(a+a(n))(n/2)

The average of the first and last terms times the number of terms, in this case we found that n=19 so:

19(4+76)/2=760

8 0

3 years ago

Read 2 more answers

Whats the factor of this expression?<br> 10x + 40y?

BARSIC [14]

Answer:

Step-by-step explanation:

factor of 10x + 40y