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patriot [66]
2 years ago
14

Tell whether the given value is a solution for the inequality. Then, justify your answer.

Mathematics
1 answer:
tatuchka [14]2 years ago
4 0

Answer:

x=18 is not a solution

Step-by-step explanation:

18+9=27 but this is saying it has to be less than 27 so this is not a solution

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find the area of a regular pentagon inscribed in a circle whose equation is given by (x-4)^2 + (y+2)^2=25
makkiz [27]
The radius is √25=5 in this case.
find the area of each triangles first. (the pentagon can be divided into 5 isosceles triangles)
the two equal sides are 5 each, the angle between them is 360/5=72 degree, so the base side is 2*5*sin36, and the height is 5*Cos36
the area of each triangle is (1/2)*2*5*Sin36*5*Cos36
the total area of the 5 triangles is: 5*(1/2)*2*5*Sin36*5*Cos36
use a calculator: A≈59.44

7 0
3 years ago
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
Hoochie [10]

<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0
3 years ago
Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded w
kipiarov [429]

well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

6 0
3 years ago
750 is what percent of 900? (round to the nearest tenth of a percent)
Gnesinka [82]
100%=900
1%=9
750÷9=83.333...
750=83%
8 0
4 years ago
Read 2 more answers
Four-fifths of a number minus two is greater than three-tenths of twice that number. Solve
Bezzdna [24]
4/5x-2>3/10*2x
4/5x-2>3/5x (3/10*2=3/5)
-2>-1/5x (subtract the 4/5x)
10<x (divide by -1/5 and change sign)
4 0
4 years ago
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