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erica [24]
3 years ago
12

show that, except for 2 and 5, every prime number can be expressed as 10k+1, 10k+3 10k+7, 10k+9, where k is an interger

Mathematics
1 answer:
ycow [4]3 years ago
8 0
10(6)+1=61
10(15)+3=<span>153
10(4)+7=</span><span>47
1</span>0(9)+9=<span>99

this is true because when you multiply a number by 10 it will be an even number(2,4,6,8,etc...)...then when you add an odd number to that the number will turn odd(153,47,99,etc..)... and when you multiple integers they will always multiply to an even number </span>
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Given that ∠Ф = 180°, determine the numerical value of this function.
Rudiy27

Answer:

The answer to your question is 3. 0

Step-by-step explanation:

For an angle of 180°:

- hypotenuse = 1

- Adjacent side = 1

- Opposite side = 0

Then, sin Ф = \frac{Opposite side}{Hypotenuse}

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3 years ago
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liraira [26]
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
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Given,
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4h+(4x9)+9h=144
13h+36=144
13h=144-36
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h=108/13
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Hope this helps!

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