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nasty-shy [4]
3 years ago
7

The area of a circle is 100 π.what is the lenght of the side of a tegular hexagon inscribed in a circle.

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0
This logic, geometric logic at that.

First find the radius of the circle.

area = \pi {r}^{2} \\
We find the radius by a little algebraic manipulation.

area = \pi {r}^{2} \\ \sqrt{ \frac{area}{\pi} } = r \\ \sqrt{ \frac{100\pi}{\pi} } = r \\ radius = 10

Answer:

The height of the hexagon is 10 units (whatever the units are, every measurement needs units). All the sides of a polygon are equal, and it's a regular hexagon, which is a polygon. It's simple thinking, mostly people get into trouble when they over think it
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I was at the store, and saw two sizes of avocados being sold. The smaller size sold for $0.92 each. For what prices would the la
Firdavs [7]

Answer:

Large avocados should cost $ 1.83 or less to be a good deal.

Step-by-step explanation:

Since there are two types of avocado in the store, some small at $ 0.92 and others larger, to determine at what price large avocados would be a good deal, an equivalence must be established in this regard:

Thus, if two small avocados are equal to one large, buying two small avocados at $ 0.92 the total price would be $ 1.84. Therefore, any large avocado that sells for less than $ 1.84 would be a good deal. Thus, large avocados should cost $ 1.83 or less to be a good deal.

3 0
2 years ago
some psychologists believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distribute
denis23 [38]

Answer:

61,239,550

Step-by-step explanation:

We let the random variable X denote the IQ scores. This would imply that X is normal with a mean of 100 and standard deviation of 17. We proceed to determine the probability that an individual chosen at random from the population would be a genius, that is;

Pr( X>140)

The next step is to evaluate the z-score associated with the IQ score of 140 by standardizing the random variable X;

Pr(X>140)=Pr(Z>\frac{140-100}{17})=Pr(Z>2.3529)

The area to the right of 2.3529 will be the required probability. This area from the standard normal tables is 0.009314

From a population of 6,575,000,000 the number of geniuses would be;

6,575,000,000*0.009314 = 61,239,550

6 0
3 years ago
Read 2 more answers
What is the equivalent expression of 8x+7y+5x+4y+2y
Natalija [7]

Answer:

13x+13y

Step-by-step explanation:

(combine like terms)

8x+5x=13x

7y+4y+2y=13y

hope this helped you!

4 0
3 years ago
A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
ruslelena [56]
X(u, v) = (2(v - c) / (d - c) + 1)cos(pi * (u - a) / (2b - 2a))
y(u, v) = (2(v - c) / (d - c) + 1)sin(pi * (u - a) / (2b - 2a))

As v ranges from c to d, 2(v - c) / (d - c) + 1 will range from 1 to 3, which is the perfect range for the radius. As u ranges from a to b, pi * (u - a) / (2b - 2a) will range from 0 to pi/2, which is the perfect range for the angle. So, this maps the rectangle to R.
6 0
3 years ago
The city airport and the train station are 45 miles apart. there are 9 gas stations equally spaced between the airport and train
Zielflug [23.3K]

The distance between the two adjacent gas stations will be 5 miles.

<h3>What is the difference between a ratio and a proportion?</h3>

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Distance between city airport and the train station = 45 miles

Stations equally spaced between the airport and train station=9

Let the space between two gas stations will be x;

x = 45/9

x=5 mile.

Hence, the distance between the two adjacent gas stations will be 5 miles.

To learn more about the ratio, refer to the link;

brainly.com/question/14335762

#SPJ1

6 0
2 years ago
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