36/7+4
36/11
36÷11=3.27272727.... Repeating
If this is an exponent, it would be 4 x 4 x 4 x 4 x 4 in expanded form.
Answer:
14 ft
Step-by-step explanation:
Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.
Applying the Pythagorean Theorem, we get:
13^2 = (h - 2)^2 + 5^2, or
169 = h^2 - 4h + 4 + 25, or
144 = h^2 - 4h + 4, or
140 = h^2 - 4h, or, finally,
h^2 - 4h - 140 = 0. We must find the value of h.
I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.
The total height of the piece of plywood is 14 ft.
Check this: does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13? Yes.
Consider the digit expansion of one of the numbers, say,
676₉ = 600₉ + 70₉ + 6₉
then distribute 874₉ over this sum.
874₉ • 6₉ = (8•6)(7•6)(4•6)₉ = (48)(42)(24)₉
• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉
• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉
• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉
874₉ • 6₉ = 5(3 + 4)(6 + 2)6₉ = 5786₉
874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉
• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉
• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉
• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉
874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉
874₉ • 600₉ = (874•6)00₉ = 578600₉
Then
874₉ • 676₉ = 578600₉ + 67710₉ + 5786₉
= 5(7 + 6)(8 + 7 + 5)(6 + 7 + 7)(0 + 1 + 8)(0 + 0 + 6)₉
= 5(13)(20)(20)(1•9)6₉
= 5(13)(20)(20 + 1)06₉
= 5(13)(20)(2•9 + 3)06₉
= 5(13)(20 + 2)306₉
= 5(13)(2•9 + 4)306₉
= 5(13 + 2)4306₉
= 5(1•9 + 6)4306₉
= (5 + 1)64306₉
= 664306₉
Answer:
Part A: 13.2
Part B: see below
Step-by-step explanation:
<u>Part A</u>:
13.245 rounded to tenths is 13.2
<u>Part B</u>:
The rule is ...
<em>Add 1 in the number place you're rounding to if the digit to its right is 5 or more. Drop (or zero) all digits to the right of the place you're rounding to.</em>
Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.
