Depth of Hank descends = The point he reached - the point where he worked initially
= 57 - 10
= 47 ft
Hence, Hank descends 47 ft.
Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
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h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
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b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
The answer is: " 19 " .
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Explanation:
To solve:
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Given:
" 4² + 6 ÷ 2 " ;
We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration); which stands for:
"Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;
Alternately: "BE MD AS"
" Be Excused My Dear Aunt Sally (or Aunt Susan)" .
"Parentheses {alternative version: "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .
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As such:
Given: " 4² + 6 ÷ 2 " , we have:
"exponents", "addition" and "division" ;
So we can rewrite the problem as:
" (4²) + (6 ÷ 2) =
(4 * 4) + (3) =
(16) + (3) = 19 .
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The answer is: " 19 " .
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Answer:
7 will go in the box.
The full number would be 67.14.
work:
64.24 + 2.9 = 67.14.
Answer:
y=11
Step-by-step explanation:
Solve the system by substitution by setting the equations equal to each other.
y = 5x+6
y = x+10
It becomes 5x+6 = x+10. Solve for x using inverse operations.
5x+6 = x+10
4x+6 = 10
4x = 4
x=1
Substitute x=1 into one equation to find y.
y = x+10
y = 1 +10
y=11
