Answer:
The land that is covered with an irrigation arm of 370 ft is ![430,084\ ft^2](https://tex.z-dn.net/?f=430%2C084%5C%20ft%5E2)
Step-by-step explanation:
<u>Area of the circle</u>
Being r the radius of a circle, its area can be calculated as follows:
![A=\pi\cdot r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20r%5E2)
The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:
![A=\pi\cdot 370^2](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20370%5E2)
![A=430,084\ ft^2](https://tex.z-dn.net/?f=A%3D430%2C084%5C%20ft%5E2)
The land that is covered with an irrigation arm of 370 ft is ![430,084\ ft^2](https://tex.z-dn.net/?f=430%2C084%5C%20ft%5E2)
Answer:
(1) w = 6.4
(2) w = -67
(3) q = 336
(4) z = -14
(5) x = 9
(6) y = 3
(7) x = 8
(8) x = -16
(9) x = 54
(10) x = 13.5
Step-by-step explanation:
Ik u need it quick so mb for not explaining. Good luck
Answer:
Using SAS they are congruent.
Step-by-step explanation:
E is the point where the diagonals AC and BD meet.
Side: AB = CD
Angle: ∠ABE = ∠EDC
Side: BE = DE
Hence by SAS theorem the two triangles are congruent.
Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.
The least common multiple of these three numbers is
![\mathrm{lcm}(8,12,75)=600](https://tex.z-dn.net/?f=%5Cmathrm%7Blcm%7D%288%2C12%2C75%29%3D600)
and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.
Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:
![8=2^3](https://tex.z-dn.net/?f=8%3D2%5E3)
![12=2^2\times3](https://tex.z-dn.net/?f=12%3D2%5E2%5Ctimes3)
![75=3\times5^2](https://tex.z-dn.net/?f=75%3D3%5Ctimes5%5E2)
The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with
![2^3\times3\times5^2=8\times3\times25=600](https://tex.z-dn.net/?f=2%5E3%5Ctimes3%5Ctimes5%5E2%3D8%5Ctimes3%5Ctimes25%3D600)
(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)
The solution to the problem is as follows:
x = log (25) (125)
125 = 25^x
log 125 = x log 25
<span>
x = 3/2
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!