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3 years ago

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

Step-by-step explanation:

To inscribe a circle in a given triangle PQR means to construct a circle in the triangle PQR. The incenter of a triangle is the midpoint in the triangle, which can be located by bisecting the three angles of the triangle individually.

The construction is shown in the attachment.

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Mixed number eqivalent to 51/5

mafiozo [28]

51/5 is equivalent to 10 and 1/5.

6 0

3 years ago

Need help ASAP!!!!! I WILL GIVE THE MOST BRAINLIEST TO THE FIRST PERSON THAT ANSWERS

lys-0071 [83]

Answer:

$x^2 + 10x + y^2 -4y + -7 = 0$

Step-by-step explanation:

For any circle point with coordinate of center (a,b) and radius r

equation of circle is given by

$(x-a)^2 + (y-b)^2 = r^2$

_______________________________________

Given

coordinate of center = (-5,2)

radius = 6

thus, equation of circle can be written by substituting a and b with (-5 ,2) and r =6 as shown below

$(x-a)^2 + (y-b)^2 = r^2\\(x-(-5))^2 + (y-2)^2 = 6^2\\x^2 + 10x + 25 + y^2 -4y + 4 = 36\\=>x^2 + 10x + y^2 -4y + 29 = 36\\=>x^2 + 10x + y^2 -4y + 29 -36 = 36 -36\\=>x^2 + 10x + y^2 -4y + -7 = 0$

Thus, equation of circle is $x^2 + 10x + y^2 -4y + -7 = 0$

3 0

3 years ago

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total

julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

6 0

3 years ago

Question 2 The equation and graph show the cost to rent movies from two different companies. The cost is a function of the numbe

Alex Ar [27]

Answer is in a ph $^{}$ oto. I can't attach it he $^{}$ re, but I uploaded it to a fi $^{}$ le hosting. link below! Good Luck!

bit. $^{}$ ly/3a8Nt8n

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3 years ago

An experiment consists of tossing 4 unbiased coins simultaneously. What is the number of simple events in this experiment?

kupik [55]

The number of simple events in this experiment according to the probability is 16.

According to the statement

we have to find that the number of simple events in this experiment.

So, For this purpose, we know that the

Simple events are the events where one experiment happens at a time and it will be having a single outcome. The probability of simple events is denoted by P(E) where E is the event.

And according to the given information is:

Total number of coins tossed is 4.

then

the simple events become

Simple events = no. of coins * total coins tossed

Simple events = 4*4

Now solve it then

Simple events = 16.

So, The number of simple events in this experiment according to the probability is 16.

Learn more about simple events here

brainly.com/question/7965468

#SPJ4

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2 years ago