Answer:
√53 lies between 7.2 and 7.3
Step-by-step explanation:
To estimate the √53 between two numbers to the tenths place, the steps include
1.) Identify perfect squares that bound the number 53: 7² = 49 and 8² = 64
2.) Estimate between two whole numbers: between 7 and 8
3.) Determine the closer whole number: the root is closer to 7 because 53 is closer to 49 than to 64.
4.) Find the squares of tenths:
7.1²= 50.41
7.2²= 51.84
7.3²= 53.29
7.4²= 54.76
Hence, it is evident that √53 lies between 7.2 and 7.3
It is also clear that the required square root is closer to 7.3 than 7.2 though.
Hope this Helps!!!
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Step-by-step explanation:
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Answer:
The number of baseball card to begin with is 143
Step-by-step explanation:
Let The number of baseball cards = x
The number of sold baseball card = 60% of x
= 0.6 x
The number of left baseball card = x - 0.6 x = 0.4 x
The number of card gave away = 30 % of left cards
= 0.3 × 0.4 x = 0.12 x
The number of card left in his possession = 40
So, 0.6 x + 0.12 x + 40 = x
Or, 40 = x - 0.6 x - 0.12 x
Or, 40 = 0.28 x
∴ x =
= 142.85 ≈ 143
Hence The number of baseball card to begin with is 143 Answer
Answer:

Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to

where
b is the length side of the equilateral triangle
we have

substitute

solve for b

Find the area
The formula of area applying the law of sines is equal to

substitute the value of b




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