Recall the Pythagorean Theorem which says:
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the other 2 legs. Now we just plug in numbers we already know (the hypotenuse and one leg) and solve for the unknown side:
5^2 + b^2 = 6^2
25 + b^2 = 36
b^2 = 11
b = √11
Thus the answer is C.
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression is given below.
8 × 10⁶ and 7.92 × 10⁹
The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be
⇒ 8 × 10⁶ + 7.92 × 10⁹
⇒ 8 × 10⁶ + 7920 × 10⁶
⇒ 7928 × 10⁶
⇒ 7.928 × 10⁹
The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.
More about the Algebra link is given below.
brainly.com/question/953809
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Answer:
51 cm^2
Step-by-step explanation:
the formula for area of an icoselese triangle is
A = b * h / 2
h is a line from the angle where the 5 and 5 intersect to the middle of the third line
You can find h using the pythagoran theorm with the 5 being the hypotenuse and the a being half the third line
4^2 + b^2 = 5^2
16 + b^2 = 25
b = 3, so h = 3, so now
A = 8 * 3 / 2
A = 24 / 2
A = 12 cm^2
now we have the triangle, just multiply that by 2 (top and bottom)
12 * 2 = 24
sides
8 * 1.5 = 12
5 * 1.5 * 2 = 15
now add all of it
15 + 12 + 24 = 51
[<em>We assume that each piece of apple is identical</em>]
{{{{This part for little more explanation:
There are 12C6 ways that 6 fruits can be taken from the bag
which is equal to
=12!/{(12-6)!*6!}
=(12*11*10*9*8*7*6!) / (6!*6!)
=665280 / (6*5*4*3*2*1)
=924 ways
}}}}}
Your main solution here:
Similarly there are 6C5 ways to get exactly 5 apples out of 6 fruits which is equal to,
=6! / {(6-5)! *5! }
=(6*5!) / (1!*5!)
=6 ways>>>>>>>ANSWER
NOTE: nCx=n! / [(n-x)! *x!] where n=total items and x= no of items choosen
{n is written up in the upper left of C and x is written as Subscript}
