SAT College

50 POINTS HELP ASAP! A triangle has a 60 angle and the two adjacent sides are 12 and 12 sqrt 3 find the radius of a circle with the same vertex as the center if the arc inside the triangle divides it into two regions of equal area.

r = ???

Answers

Answer 1

The triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3".  

So, the area of the triangle, Δ =  sq. units.

Now, we have to find the radius of the circle with the same vertex as a center, if the arc in the triangle bisects the area of the triangle.

So, if the radius of the circle is r units, then  

⇒ 0.5238 r² = 54

⇒ r² = 103.092

⇒ r = 10.15 units. (Answer)

Related Questions

What do animal tissue and plat tissue share

Answers

Answers and Explanations:

Surprisingly, even though animals and plants have very different cell structures, both of them do have similarities in tissue.

Differences between animal and plant tissue:

As I had mentioned earlier, animals and plants have very different cell structures. Because tissue in the body contains cells, this kind of ties into tissue. Unlike animals, plants have cell walls. For plants this is more required because plants do not really move on their own, so having a cell wall gives stability for the plant. Animals on the other hand are like humans in the way of having free-moving cells throughout the body.

Similarities between animal and plant tissue:

Both animal and plant tissue help support the animal and/or plant by providing support to the creature's structure. Tissue is something that can protect internal organs on some parts of an animal and plant body, which is something that both of these tissues do. Also, tissue is technically a type of organ that can add cushion and protection, as I had mentioned earlier. So, in conclusion both of these creatures share a common organ with each other that produce similar uses, but different contents (such as the cells).

I hope that this helps.

The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2
per minute.
What is the expected number of phone calls that pass through the switchboard in one minute?

Answers

Using the Poisson distribution, it is found that the expected number of phone calls that pass through the switchboard in one minute is of 2.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is equals to 2 phone calls per minute, hence this is the expected number.

You can learn more about the Poisson distribution at https://brainly.com/question/13971530

Find the diameter of the circle with the given circumference. Use 3.14 for π C =17cm

Answers

Answer:

5.41 cm

Explanation:

circumference C = π*d

diameter d = C/π = 17/3.14 = 5.41 cm

rocks under high temperature and pressure undergo what kind of deformation

Answers

Answer: They undergo  ductile deformation.

Hope this helped!

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

Answers

25/50 is the answer hope this helps

what are the consequences of not applying to CAO in advance ?

Answers

Some of the consequences of not applying to Central Applications Office (CAO) in advance include the following:

A payment of 60 Euros (€60) for late online applications.A payment of 90 Euros (€90) for late paper applications.You may miss out on admission to a higher institution.

What is CAO?

CAO is an acronym for Central Applications Office and it can be defined as an organization that is saddled with the responsibility of overseeing and processing undergraduate applications to colleges and universities in the Republic of Ireland.

The Central Applications Office (CAO) was established in 1976 and its primary mission is to centrally process undergraduate applications to Irish Higher Education Institutions (HEIs) such as colleges and universities in a fair and efficient manner.

Some of the consequences of not applying to Central Applications Office (CAO) in advance include the following:

A payment of 60 Euros (€60) for late online applications.A payment of 90 Euros (€90) for late paper applications.You may miss out on admission to a higher institution.

Read more on CAO here: https://brainly.com/question/2919700

add the three fractions
4/7+5/12=1/5

Answers

Answer:

499/420 or 1 79/420

Explanation:

4/7 + 5/12 + 1/5

4/7 + 5/12

83/84

83/84 + 1/5

499/420 or 1 79/420

I hope it helps! Have a terrific day!!

Lilac~

36. If you ever had a paying job outside the home, were you ever asked to perform a hazardous job?
(1 point)
O A. Yes
O B. No
O C. Not Sure
O D. Not Applicable
7

Answers

Just put not sure and you should be okay

Reed bought 25 bags of candy and divided the total number of red candies in the bags by the total pieces
of candy in the bags. What kind of probability did Reed find? (classical or relative frequency).

Answers

The type of probability that reed was trying to find is; Classical Probability

What is Classical Probability?

Classical probability is defined as the statistical concept that measures the likelihood of something happening. It is also defined as the concept where  every statistical experiment contains elements that are equally likely to happen.

In a nutshell, A classical probability is given by the number of desired outcomes divided by the number of total outcomes, considering no prior results of the experiments.

Read more about Classical Probability at; https://brainly.com/question/24761592

Calculate the probability of randomly selecting a vehicle with an engine size greater than 3.9 L

Answers

We have that to calculate the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

Probability of choosing an engine size

Question Parameters:

an engine size greater than 3.9 L

Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.

Probability looks at calculating the possibility of a given event's occurrence.

Therefore, to determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L

For more information on probability

https://brainly.com/question/795909

Select the FALSE statement about completely random design.

Answers

Answer:

The test subjects are first broken into groups based on a certain variable of interest before being assigned to each treatment condition.

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