A square is inscribed in a circle of radius 3 square root 2 find the area

Answers

Answer 1
Answer: inscribed means drawn inside with corners touching sides of circle

we know that r=3√2
if we double that we get the diameter of 6√2
this also is the diagonal of the square

we now have pythagoran theorem
the 2 legs are equal measure since it is a square
hypotonuse=diangoal of square

a^2+b^2=c^2
a=b
2a^2=c^2
2a^2=(6√2)^2
2a^2=72
divide both sides by 2
a^2=36
sqrt both sides
a=6
the legnth of one side is 6

area=side^2
area=6^2
area=36 

the area is 36 square units


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Can somebody help me? Thanks.

Answers

Answer:

1) 2x = x + 15

Step-by-step explanation:

The two parallel lines and one bisecting line makes these two angles equal so you can set the values equal to each other to solve for x

Express the set of numbers shown on the number line

Answers

Given:

The graph of a number line.

To find:

The set of values for the given number line.

Solution:

As we move from right to left on a number line the values decreased however as we move from left to right on a number line the values increased.

From the given number line it is clear that there is an open circle at 7  and a close circle at 10. It means 7 is not included in the solution set but 10 is included in the solution set.

From the point 7, the arrow approaching to the left it means all the values less than 7 are included in the solution set, i.e., x < 7.

From the point 10, the arrow approaching to the right it means all the values greater than 10 or equal to 10 are included in the solution set, i.e., x ≥ 10.

Solution set : x < 7 or  x ≥ 10.

Therefore, the correct option is A.

A local television station sells time slots for programs in 30-minute intervals. If the station operates 24hrs per day, every day of the week, what is the total number of 30-minute time slots the station can sell for tuesday and wednesday?

Answers

The local television station can sell 96 of 30-minute time slots on Tuesday and Wednesday.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
For Tuesday and Wednesday,
The number of minutes = days × hours × minutes.

Now, television stations sell time slots for programs in 30 minutes.
Number of 30-minute slots for days Tuesday and Wednesday

= days × hours × minutes / 30
= 2 × 24 × 60 / 30
= 4×24
= 96 slots

Thus, the local television station can sell 96 slots of 30-minute time slots on Tuesday and Wednesday.

Learn more about models here: brainly.com/question/22591166

#SPJ2

1440 is the answer.

30 minutes times 48 since one day is 24 hours times that by 2 to get 48.

48 times 30 is 1440.

Here is a picture of my math problem.

Answers

percent means parts out of 100
1.2%=1.2/100=12/1000=6/500=3/250
1.2% is (1.2)/100 which equals 0.012

0.012 as a fraction is:

12/1000=6/500=3/250

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk?

Answers

Answer:

She walked 4(2)/(3) miles

Step-by-step explanation:

Speed of ebony = 3(1)/(2) miles/hour

                           = (7)/(2) miles/hour

Time Taken =1(1)/(3) hours.

                   =(4)/(3) hours.

We are supposed to find how far did she walk i.e. Distance

Formula : Distance = Speed * Time

Distance = (7)/(2) * (4)/(3)

Distance = (14)/(3)

Distance = 4(2)/(3)

Hence she walked 4(2)/(3) miles

im wondering the same thing i have this question to

What is the range in the number 11, 10, 12, 16, 15, 18

Answers

Answer:

subtract the smallest number from the largest number