The shorter piece is 3/10 of the 1.5m long piece of wood.
1.5/10=0.15
0.15*3=0.45
The shorter piece is 0.45m or 45cm long.
Hope this helps :)
Answer:
a = 14 km
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
112.7 = 1/2 ( a) 16.1
112.7 = 8.05a
Divide each side by 8.05
112.7/8.05 = a
14 =a
a = 14 km
<u>|4x + 2| + 6 = 0</u>
Subtract 6 from each side: |4x + 2| = -6
But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.
So the equation has <em>no solution</em>.
Answer:
Yes, Mina is correct
Step-by-step explanation:
Let the triangles be A and B
Given
Triangle A:

Triangle B:

Required
Is Mina's claim correct?
First, we calculate the third angle in both triangles.
For A:


For B:


For triangle A, the angles are: 34, 57 and 89
For triangle B, the angles are: 34, 57 and 89
<em>Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.</em>
<h2>Hello!</h2>
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
<h2>Why?</h2>
This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:

So, the given functions are:

Then, composing the functions, we have:

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!