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Veronika [31]
2 years ago
10

Without performing the calculation, estimate which expression is larger. Explain how you know

Mathematics
1 answer:
Naddik [55]2 years ago
6 0

Answer:

4 × 10¹⁰ > 2 × 10⁵

Step-by-step explanation:

Given that,

Two numbers in scientific notation.

First number: 4 × 10¹⁰

Second number: 2 × 10⁵

To compare scientific notation number.

First check the exponent of 10

If exponent is larger then number becomes larger.

First number exponent is 10 and second number exponent if 5

10 > 5

Therefore,

4 × 10¹⁰ > 2 × 10⁵

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Elin has 1/3 hour to warm up for her gymnastics meet. She must complete each 6 different stretches. She spends an equal amount o
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X/(x+5) = (x-2)/(x+1)
x(x+1) = (x -2) (x + 5)
x^2 + x = x^2 - 2x + 5x - 10
 x = 3x - 10
3x - x = 10
2x = 10
  x = 5

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3 years ago
What is the perimeter of the triangle (4,1) (2,5) (1,-1)
Naya [18.7K]

the perimeter of the triangle=14.38

The coordinates of the triangle (4,1),(2,5),(1,-1);

In geometry, the perimeter of a shape is defined as the total length of its boundary.

The perimeter of the triangle is the sum of all the sides of the triangle =a+b+c (assuming a,b, and c are the sides of the triangle)

By using the distances formula find the length of the sides of the triangle:√[(x₂ - x₁)² + (y₂ - y₁)²],

where (x₁,y₁),(x₂,y₂) are the coordinates ,

a=√[(4 - 2)² + (1- 5)²] = \sqrt 20=4.7

b=√[(2 -1)² + (5 -(-1))²]=\sqrt37=6.08

c=√[(1 -4)² + ((-1)-1)²]=\sqrt13=3.60

the perimeter of the triangle=a+b+c=4.7+6.08+3.60=14.38

hence ,perimeter of the triangle=14.38

Learn more about perimeter of triangle:

brainly.com/question/23935199

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