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jolli1 [7]
3 years ago
5

Compare the decimals 16.30 and 16.3

Mathematics
1 answer:
pshichka [43]3 years ago
8 0
16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500
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I need help with geometry
astra-53 [7]

Answer:

13

Step-by-step explanation:

Use the Pythagorean theorem:

  • a^2 + b^2 = c^2
  • 5^2 + 12^2 = c^2
  • 25 + 144 = c^2
  • c^2 = 169
  • 13

Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.

8 0
2 years ago
Simplify the absolute value -7-1??
stich3 [128]
Absolute value is a positive number
So -7-1 = -6
Answer 6
4 0
2 years ago
Read 2 more answers
What is 5 & 3/4% as a decimal
8_murik_8 [283]
5 and 3/5 is 5.75 as a decimal

7 0
3 years ago
Among all rectangles that have a perimeter of 182, find the dimensions of the one whose area is largest.
Evgen [1.6K]

Answer:

<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>

Step-by-step explanation:

<u>Maximization Using Derivatives</u>

The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.

Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

A=x.y

And the perimeter is

P=2x+2y

We know the perimeter is 182, thus

2x+2y=182

Simplifying

x+y=91

Solving for y

y=91-x

The area is

A=x.(91-x)=91x-x^2

Taking the derivative:

A'=91-2x

Equating to 0

91-2x=0

Solving

x=91/2=45.5

Finding y

y=91-x=45.5

The largest rectangle of perimeter 182 is a square of side 45.5

6 0
3 years ago
Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine th
nikklg [1K]

Answer:

  11 and 13

Step-by-step explanation:

Suppose the smaller one is x. Then the difference of their reciprocals is ...

  \dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}

This tells us that x will be the smaller of the two factors of 143:

  143 = 11×13

  x = 11

The two numbers are 11 and 13.

5 0
2 years ago
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