1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lana66690 [7]
3 years ago
14

When constructing a circle inscribed in a triangle, what is the purpose of constructing a perpendicular segment from the incente

r to a side of the triangle?
To determine the center of the circle
To determine the radius of the circle
To connect the midpoints of each side of the triangle
To connect the arc markings from the angle bisectors

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0
Please refer to the picture I've attached.

When a circle is inscribed in a triangle, it means that the circle is drawn inside a triangle such that the midpoints of each side of the triangle are tangent to the circle. By doing this, you draw the biggest circle that could fit inside a triangle.

Now, the circle and the triangle have the same center illustrated here by the red dot. When you connect all sides of the triangle to the center (yellow lines), you create three equal angles. This is equal to 360 (one revolution) divided by 3, equals 120°. But when you create a perpendicular bisector from the center (black line), the angle is halved. It will now be 120/2 = 60°. Usually you are given the sides of the triangle. By using pythagorean theorems, you can find, therefore, the radius of the circle. To illustrate, the radius is equal to (s/2)/tan60.

Thus, the answer is: <span>To determine the radius of the circle.</span>

You might be interested in
Johny has 100 bottels of dish soap
sveta [45]
Johnny now has 90 so Jeana did not take 25 she only took 10
4 0
3 years ago
An animal shelter provides a bowl with 1.55 liters of water for 5 cats.
Archy [21]

Answer: The answer is 0.8 liters of water.

Step-by-step explanation: Well there are 5 cats and each cat drinks .15 liters per day. .15x5 = .75 liters of water. 1.55 liters - .75 liters = 0.8 liters left.

7 0
3 years ago
Help with this question please help
levacccp [35]
Slope is 2
Y intercept is 4
8 0
3 years ago
Thomas earns $2100 per month and then got a 15 raise .how much will Thomas make per month after his raise
adelina 88 [10]
So I guess you man 15% raise!
2100×0.15=315
now that's the actual increase in pay
so what he actually gets it 2100+315=2415 dollars per month more than previous month's
3 0
3 years ago
Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua
goblinko [34]
<h2>Hello!</h2>

The answer is:  There is a total of 5.797 gallons pumped during the given period.

<h2>Why?</h2>

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

D(t)=\frac{5t}{1+3t}

So, the integral will be:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dx

So, integrating we have:

\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx

Performing a change of variable, we have:

1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}

Then, substituting, we have:

\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du

\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )

\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du

\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]

Reverting the change of variable, we have:

\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]

Then, evaluating we have:

\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

4 0
3 years ago
Other questions:
  • Need answer ASAP <br> *MARKING BRAINLIEST
    9·2 answers
  • Which one is greater 5 or 1.5
    12·2 answers
  • A cylinder has a height of 4 meters and a diameter that is 3 times the measure of the height. Using 3.14 for pi, which of the fo
    15·1 answer
  • What is 5/8 1/2 2/3 2/5 from least to greatest
    10·1 answer
  • Which fraction has repeating decimal as it’s decimal expansion
    5·1 answer
  • A Boxerville Express commuter train leaves the station every 30 minutes. When Theo arrives at the station, a woman tells him she
    7·2 answers
  • The value of a car depreciates by 15% each year. The value of the car when new is $14000. WHat will be the value of the car afte
    11·1 answer
  • Michelle bought a new calculator for math class. It cost $17.25. The
    8·1 answer
  • Write five hundred seven and seven hundredths in a decimal notation
    13·1 answer
  • Which set of ordered pairs ***represents*** a function?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!