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Alona [7]
3 years ago
13

Expanded form for 67.943

Mathematics
1 answer:
ratelena [41]3 years ago
6 0
67.943

= 60.000 + 7.000 + 0.900 + 0.040 + 0.003
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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
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How to solve z+2/z-3=5/-3
OLEGan [10]
(z+2)= (z-3)(5/-3)
z+2 = 5z/-3 +5
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3 years ago
Which equation can be used to find the volume of the cylinder?
sergejj [24]

Answer:

V = π × 4² × 16  

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

r =   4 in

h = 16 in

Calculation:

V = πr²h = π × 4² × 16

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If the temperature on the ground is 70 F then
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Answer: try to (x) each one by the answer to -0.0035 +70

Step-by-step explanation:

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Because 3 / 6 = 0.5 and 4.5 / 9 = 0.5, the scale factor is 0.5 ;
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