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Zepler [3.9K]
3 years ago
13

is it possible to construct a triangle with the given side lengths 35, 120 and 125 units if not explain why not ​

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed. Hope this helps!

olchik [2.2K]3 years ago
8 0

Answer:

Yes(4th choice)

Step-by-step explanation:

The triangle inequalities tell us, that the sum of any two sides of a triangle must be greater than the third. This checks out for all values in this triangle:

125 + 35 >  120 Check

120+25 > 125 Check

125 + 120 > 35 Check

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How to find the circumference of a circle
wlad13 [49]
C = 2pi(r). Find the radius of the circle first. Then multiply that by 2pi. 
Pi=3.14159... 2pi = 2 x 3.14159...
Therefore C = 2 x 3.14159... x r
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3 years ago
True or False?<br>The ratios 4/5 and 52/60 are proportional<br><br><br><br>​
ZanzabumX [31]

Answer:

False

Step-by-step explanation:

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3 years ago
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Fred has 204 books he donates 2/11 how many books did he donate
Tomtit [17]

Answer:

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Step-by-step explanation:

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3 years ago
One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second
Nesterboy [21]

Answer:  30 lbs, 13 oz

This converts to 493 ounces

===============================================================

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

  • Pumpkin A = 124 oz
  • Pumpkin B = 164 oz
  • Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

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

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0
2 years ago
What is the vertex form of y=-2x2+4x + 3?
sukhopar [10]

Answer:

y=-2(x-1)^2+5

Step-by-step explanation:

we have

y=-2x^2+4x+3

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

y=-2(x^2-2x)+3

step 2

Complete the square

y=-2(x^2-2x+1)+3+2

y=-2(x^2-2x+1)+5

step 3

Rewrite as perfect squares

y=-2(x-1)^2+5 ----> equation in vertex form

The vertex is the point (1,5)

3 0
3 years ago
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