Answer:
Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.
Step-by-step explanation:
Lol
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
The Geometric mean of 4 and 10 is 6.32
<u>Explanation:</u>
Given:
Two numbers are 4 and 10
Geometric mean, GM = ?
We know,
GM = ![\sqrt[n]{a_1 X a_2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba_1%20X%20a_2%7D)
Where,
n = 2
Substituting the value we get"
![GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32](https://tex.z-dn.net/?f=GM%20%3D%20%5Csqrt%5B2%5D%7B4%20X%2010%7D%20%5C%5C%5C%5CGM%20%3D%20%5Csqrt%5B2%5D%7B40%7D%20%5C%5C%5C%5CGM%20%3D%206.32)
Thus, the Geometric mean of 4 and 10 is 6.32
It's obviously none of the above because the true area will have a square root of 3 in it because of the equilateral triangle. They want us to find the approximate area. When I was in school the difference between an approximation and the exact answer was greatly stressed but that seems to be fading of late.
That's a rectangle less an equilateral triangle. The area of an equilateral triangle is
which is easily derived but I won't bother here.

Answer: b