Answer:
7*7
Step-by-step explanation:
49 = 7*7
As 7 is a prime number ( a number that can only be written as a product of 1 and itself), we are finished
Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
![\sum ar^n](https://tex.z-dn.net/?f=%5Csum%20ar%5En)
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
![\sum 25*(-0.2)^n](https://tex.z-dn.net/?f=%5Csum%2025%2A%28-0.2%29%5En)
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
![S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba%7D%7B1-r%7D%5C%5CS%3D%5Cfrac%7B25%7D%7B1-%28-0.2%29%7D%5C%5CS%3D20.8333)
The sum is 20.8333.
Answer:
27.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the angle and the relevant sides of the triangle is ...
Cos = Adjacent/Hypotenuse
In this case, the hypotenuse of the triangle is the length along the road; the distance parallel to the ground is the side adjacent to the angle of depression. So, you have ...
cos(angle) = (23 mi)/(26 mi)
angle = arccos(23/26) ≈ 27.8°
The angle of depression is about 27.8°.
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<em>Comment on the road</em>
The grade on such a road is about 53%. A road with an 8% grade for any distance is considered marginally safe for trucks. A 53% grade for 26 miles would wear out the brakes in no time.
The elevation drop on this road is about 12 miles, or more than 64,000 feet. The highest mountain on Earth is less than half that height, so this must be on a different planet.
No 3,000 t-shirts are = to 12,840.