1. D. 81 cm sq.
Shape: Square
Formula: P = 4s so 44 = 4s so s = 11 cm
Formula: A = s^2 so 11^2 = 121 cm sq.
2. £200
Shape: Square
Formula: P = 4s so P = 4(0.5) so P = 2 m
1 meter = 100 centimeters
So 2 m = 200 centimeters
3. 210 m
Shape: Triangle
Formula: P = a + b + c so P = 15 + 20 + 35 = 70 m
He travels around 3 times so 3x = 3(70) = 210 m
4. 150 m
Shape: Pentagon
# of Sides: 5
Formula: P = 5s so P = 5(30) so P = 150 m
5. 288 m
Shape: Rectangle
Formula: A = LW so A = 48 * 6 so A = 288 m
Answer:
the first one and the last three
Step-by-step explanation:
that should be it.
Answer:
<h2>D) 25,000</h2>
Step-by-step explanation:
The best estimation of the total number of people at the concert is the quotient between the total area of the arena, and the area that each person occupies.
So, we need to find the area of each person.
We know that each person took up a circular space with a diameter of 0.9m. The radio would be
![r=\frac{d}{2}=\frac{0.9}{2}m=0.45m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B0.9%7D%7B2%7Dm%3D0.45m)
And the circular are would be
![A_{person}=\pi r^{2}= 3.14(0.45m)^{2} =0.64m^{2}](https://tex.z-dn.net/?f=A_%7Bperson%7D%3D%5Cpi%20r%5E%7B2%7D%3D%203.14%280.45m%29%5E%7B2%7D%20%3D0.64m%5E%7B2%7D)
Now, we divide the area of the arena by the area per person
![n=\frac{A_{arena} }{A_{person} }=\frac{16200m^{2} }{0.64m^{2} } \approx 25312](https://tex.z-dn.net/?f=n%3D%5Cfrac%7BA_%7Barena%7D%20%7D%7BA_%7Bperson%7D%20%7D%3D%5Cfrac%7B16200m%5E%7B2%7D%20%7D%7B0.64m%5E%7B2%7D%20%7D%20%5Capprox%2025312)
Where
represents the number of people at the concert.
Therefore, the nearest estimation is D. 25,000 people are at the concert.
Answer:
10403.
Step-by-step explanation:
To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.
After multiplying 101 by 103, we get 10403.
To check our answer, we can verify each point.
10403 is not prime, as it has 2 factors, 101 and 103.
10403 is not square, as the square root of 10403 is 101.9951.
10403 has 2 factors 101 and 103, both of which are greater than 100.