Always because <span>If two sides of one </span>triangle<span> are proportional to two sides of another and included </span>angles<span> are </span>equal<span>, then the </span>triangles<span> are </span>similar<span>. They are similar.</span>
Height of wall = 8 feet
1 feet = 12 inches
⇒ Height of wall = 8 × 12 inches
⇒ Height of wall = 96 inches
We know that the 4 shelves are to be placed such that that the 5 spaces created decrease by 7 inches as we move up the wall
Let height of 1st space = h inches
⇒ Height of 2nd space = h - 7 inches
⇒ Height of 3rd space = h - 14 inches
⇒ Height of 4th space = h - 21 inches
⇒ Height of 5th space = h - 28 inches
Thickness of each shelf = 3/4 inch
⇒ Thickness of 4 shelves =
× 4 inches = 3 inches
So, Height of Wall = Height of 1st space + Height of 2nd space + Height of 3rd space + Height of 4th space + Height of 5th space + Thickness of 4 shelves
⇒ 96 = h + h - 7 + h - 14 + h -21 + h - 28 + 3
⇒ 95 = 5h - 70 + 3
⇒ 95 = 5h - 67
⇒ 5h = 162
⇒ h = 32.4 inches
So the first shelf is placed 32.4 inches from the floor
The initial value and base value are 12 and 4/3. The function is a growing function. The domain and the range of the function are real numbers.
<h3>What is an exponent?</h3>
The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The exponential function is given below.
f(x) = 12(4/3)ˣ
Then the initial value of the exponential function is 12.
Then the base value of the exponential function is 4/3.
If the base value if greater than 1 then the function is a growing function.
The domain and range of the function are real numbers.
More about the exponent link is given below.
brainly.com/question/5497425
#SPJ1
Answer:
a) 3
Step-by-step explanation:
3+10= 13
hope this helped :)