The answer is: The product is a radical multiplied by an integer and the result is By definition, the set of integers has: negative numbers, positive numbers and zero.
Radicals are also known as roots and can be written with the symbol:
, where "n" is the index.
Normally, when a radical is multiplied by an integer, you must simplify it, but in this case you can calculate the result by using your calculator.
Answer:
bearing of B from A is 245°
Step-by-step explanation:
the bearing of B from A is the measure of the clockwise angle from the northline N to B , that is
360° - 115° = 245°
Answer: 165 ways
Step-by-step explanation:
The process of selection is done by using the combination formula for selection. If given "n" items and we are to choose "r" items from this given "n", the formula to use is denoted by:
nCr. = n! /(n-r)! × r!
Where
n! = n * (n-1) * (n-2)... *3*2*1.
In this case the number of items given = 11
And the number of items to be chosen = 3,
Hence the number of ways to do this = 11C3= 11!/(11-3)! × 3!
=165 ways.
Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
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<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
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<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
3.4×10⁻¹⁴ × 1.8×10²⁸
= (3.4 x 1.8) x 10⁽⁻¹⁴⁺²⁸⁾
= 6.12 x 10¹⁴
Answer is A.
Hope it helps!