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3 years ago

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A safe prime is a prime number that can be written in the form 2p+1 where p is also a prime number. for example, 47 is a safe pr

ime since 47=2*23+1 and 23 is also a prime number

1 answer:

patriot [66]3 years ago

7 0

What is the question?

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Hiya! take your time! like 20 mins max plz!

Debora [2.8K]

Answer:

15 and 17 are both undefined, 16 the slope is 0

Step-by-step explanation:

7 0

3 years ago

The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require

grigory [225]

Answer:

142.2 meters.

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.

Let us find total surface area of box using surface area formula of cuboid.

$\text{Total surface area of cuboid}=2(lb+bh+hl)$ , where,

$l$ = Length of cuboid,

$b$ = Breadth of cuboid,

$w$ = Width of cuboid.

$\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)$

$\text{Total surface area of box}=2(2520+432+840)$

$\text{Total surface area of box}=2(3792)$

$\text{Total surface area of box}=7584$

Therefore, the total surface area of box will be 7584 square cm.

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

$\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}$

$80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2$

$\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=14220\text{ cm}$

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}$

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}$

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}$

$\text{ Length of canvass}=142.20\text{ m}$

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0

3 years ago

sammy's bicycle and tricycles. clarence went to Sammy's and counted 37 sets of handlebars and 95 wheels. How many bicycles and t

Trava [24]

Answer:

16 bicycles and 21 tricycles

Step-by-step explanation:

Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.

Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:

b + t = 37

2b + 3t = 95

Solve by elimination by multiplying the top equation by -2:

-2b - 2t = -74

2b + 3t = 95

t = 21

Then, plug in 21 as t into one of the equations:

b + t = 37

b + 21 = 37

b = 16

So, there are 16 bicycles and 21 tricycles

4 0

3 years ago

Please help me simplify 9x-3(2+4x)=

denis23 [38]

solution

1) <span>Expand
</span><span>9x−6−12x

2) </span><span>Gather like terms
</span><span>(9x−12x)−6

3) </span> <span>Simplify
</span><span><span>−3x−6</span></span>

4 0

3 years ago

Read 2 more answers

PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!

WINSTONCH [101]

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

---------------------------------------------------------------

1. diameter =2r. since diameter=24, r=12

2. circumference=2rπ. since circumference = 314. 314=2rπ r=49.9746

3. circumference=2rπ area=(r^2)π

since r=7, circumference=14π=43.98229 since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before: circumference=20π=62.8318 and area=100π=314.15926

5. the formula for the diameter is 2r=d 2(18)=d, 36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

8 0

2 years ago