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Fynjy0 [20]
3 years ago
13

Part 3: Complete the following metric conversions. Make sure to show all work to receive credit! You may

Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

13) 2 g

14) 5,000 mL

15) 104,000 m

16) 160 mm

17) 5,600,000 mg

19) 0.25 km

Step-by-step explanation:

13. Convert 2,000 mg to g:

1 mg = 0.001 g

(2,000 mg * 0.001 g) / 1 mg = 2 g

14. Convert 5 L to mL:

1 L  = 1000 mL

(5 L * 1000 mL) / 1 L = 5,000 mL

15. Convert 104 km to m:

1 km = 1000 m

(104 km * 1000 m) / 1 km = 104,000 m

16. Convert 16 cm to mm:

1 cm = 10 mm

(16 cm * 10 mm) / 1 cm = 160 mm

17. Convert 5.6 kg to mg:

1 kg = 1,000,000 mg

(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg

19) Convert 250 m to km:

1 m = 0.001 km

(250 m * 0.001 km) / 1 m = 0.25 km

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A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. The ent
Leokris [45]

The statue should be located at point E. Point E is the center of the circumscribed circle of the triangle created by the entrances to the arena, the spirit shop, and the parking lot. The distance from the statue to each vertex will then be equal to the radius of the circumscribed circle, so the statue will be at the same distance from all three landmarks.

5 0
3 years ago
Form a quadratic polynomial whose zeroes are 3-√3/5 and 3+√3/5?​
barxatty [35]

Answer:

x^2 -6x + 222/25

Step-by-step explanation:

If the zeros are as above, then ;

x = 3-√3/5 or x = 3 + √3/5

Firstly, let’s represent √3/5 by b

Thus;

The two roots are ;

x = 3-b or x = 3 + b

so;

x+ b -3 and x -3-b

The quadratic equation is the product of the two

(x + b-3)(x - b -3)

x(x - b-3) + b(x -b -3) -3(x - b -3)

= x^2 -bx -3x + bx -b^2 -3b -3x + 3b + 9

Collect like terms and we are left with;

x^2 -6x -b^2 + 9

So let’s put back b = √3/5

x^2 -6x -(√3/5)^2 + 9

x^2 -6x -3/25 + 9

x^2 -6x + 222/25

3 0
3 years ago
A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the bord
amid [387]

Answer:

width of the border is 3 inches

Step-by-step explanation:

Given data

size = 8 inches by 10 inches

area = 144 square inches

to find out

width of the border

solution

first we consider width of border is x

area of new full rectangle =  (8 + 2x ) × ( 10 + 2x )

so we know  area of photo = 8 × 10 = 80 square inches

and area of border = 144 square inches that is given

so new area of photo with the border is 80 + 144 = 224 square inches

and we can say that

area of full rectangle  - area of the photograph = Area of Border

(8 + 2x) × (10 + 2x) – (80) = 144  square inches

80 + 16x + 20x + 4x^{2} – 80 = 144

4x^{2} + 36x – 144 = 0

solve thios equation we get  

2x^{2} + 9x – 36 = 0

solve thios equation we get  

(x + 12) (x – 3) = 0  

so here x have two value one is negative and other is positive

so we consider only positive value

x = -12 or x = 3

width of the border is 3 inches

7 0
3 years ago
Arrange from shortest to longest. 3/8, 3/6, 3/4.
adell [148]

Answer: it already is.

Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece

7 0
3 years ago
Read 2 more answers
Which number produces a rational number when multiplied by 0.5​
Blababa [14]

There are many. For example, 32 x 0.5 is 16. You can multiply 4 x 4 to get 16, so it is rational.

5 0
3 years ago
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