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riadik2000 [5.3K]
3 years ago
6

The segments shown below could form a triangle.

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

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what is the least number that must be added to 2000 so that the sum is divisible exactly 10,12,16and 18 ? do it step by step
Rudiy27

The integers divisible by any set of positive integers are the multiples of their LCM

let us first write the factored form of each

10 = 2×5

12 = 2×2×3

16 = 2×2×2×2

18 = 2 x3×3

Now we will find lcm of these numbers

LCM = 2×2×2×2×3×3×5 = 720

The multiples of 720 are divisible by 10,12,16 and 18.

2000/720 = 2.777777...

The least integer greater than that is 3, so 3×720 = 2160 is the least integer greater than 2000 that is divisible by 10,12,16 and 18.

so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160

2160-2000=160

so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18

5 0
3 years ago
Round 2.51 to 1 decimal place
Leni [432]

Answer:

2.5

Step-by-step explanation:

It's because 1is less than 5

8 0
2 years ago
Read 2 more answers
A construction company purchased some equipment costing $300,000. The value of the equipment depreciates
goldfiish [28.3K]

Answer:

11.9\ years  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000

substitute the values and solve for x

50,000=300,000(1-0.14)^{x}  

(50,000/300,000)=(0.86)^{x}  

(5/30)=(0.86)^{x}  

Apply log both sides

log(5/30)=(x)log(0.86)  

x=log(5/30)/log(0.86)  

x=11.9\ years  

4 0
3 years ago
Read 2 more answers
Chanel is going to paint a chervron design on her wall using the template. She will need to paint 50 of the templates. How many
sashaice [31]

Answer:

350 in²

Step-by-step explanation:

Assuming the solid likes are the design. So we see two parallelograms there.

Area of 1 parallelogram = base x height. Since we have a joint height, we will multiply the total height with the base (both have the same base length) to get the area of 1 design.

1 design = 3.5 x 2 = 7 in²

50 designs = 7 x 50 = 350 in²

8 0
3 years ago
David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much
ankoles [38]

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0
3 years ago
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