To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
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Answer:
Each friend will get 18 sea shells.
Step-by-step explanation:
Given:
Rudy has white sea shells = 10
Rudy has pink sea shells = 23
Rudy has brown sea shells = 21
Number of friends = 3
Rudy divides the sea shells into equally between three friends.
We need to find how many sea shells each friend can get.
Now first we find the total number sea shells.
Total number of sea shells = white sea shells + pink sea shells + brown sea shells = 10 + 23 + 21 = 54
Now to find number of sea shell each friend can get we will divide total number of sea shell with number of friends.
number of sea shell each friend can get = 
Hence each friend will get 18 sea shells.
Answer:
a:x=-3
c:x=1
Step-by-step explanation:
The zeros of a function are the values of x for which the value of the function f(x) becomes zero.
In this problem, we have the following function:

Here we want to find the zeros of the function, i.e. the values of x for which

In order to make f(x) equal to zero, either one of the factors
or
must be equal to zero.
Therefore, the two zeros can be found by requiring that:
1)

2)

So the correct options are
a:x=-3
c:x=1
Answer:
So x=2.32956156226
Step-by-step explanation:
First subtract 1 on both sides
2^3x=127
Now you can rewrite this as
(2^3)^x
As it still equals the same thing
Now 2^3 is 8
So the equation is now
8^x=127
So we use log formula
log8 127=x
So how many times do we have to multiply 8 by itself to get 127?
The answer is: 2.32956156226
Hope this helps!