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
Answer:
Option 3.
Step-by-step explanation:
It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.
The top interior angle of the triangle is 40 degrees.

From the given figure it is clear that
(Supplementary angle)

(Supplementary angle)

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.
Combine like terms.
Divide both sides by -4.

The value of h is 55.
Therefore, the correct option is 3.
4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.
<u>Solution:</u>
Let us assume that x is the required pounds sugar to make 5% syrup

which is 
On solving we get,
![\Rightarrow\frac{x}{5} =0.05 [5\%=\frac{5}{100}]](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7Bx%7D%7B5%7D%20%3D0.05%20%5B5%5C%25%3D%5Cfrac%7B5%7D%7B100%7D%5D)

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.
Answer:
0.50 c
Step-by-step explanation: