Answer:
<h2>25 1/6 square yards</h2>
Step-by-step explanation:
I am assuming you mean the area of the shaded figure.
So, let's do it this way.
Let's subtract the total area from the unshaded area:
7 1/4 x 6 = 43 1/2
Area of non-shaded = 18 1/3
Area of shaded = 43 1/2 - 18 1/3 = 25 1/6
<em>Hope that helps! :)</em>
<em></em>
<em>-Aphrodite</em>
Answer:
m∠X = 29°
m∠V = 61°
m∠W == 90°⇒given
Step-by-step explanation:
∵ ΔXWV is right angle at W
∴ m∠W = 90°
∴ m∠X + m∠V = 180° - 90° = 90°
∵ m∠X = 2x + 5 and m∠V = 4x +13
∴ 2x + 5 +4x + 13 = 90
∴ 6x + 18 = 90
∴ 6x = 90 - 18 =72
∴ x = 72/6 = 12
∴ m∠X = 2(12) + 5 = 29°
∴ m∠V = 4(12) + 13 = 61°
To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
In a research study, there are typically two main variables that direct the scientific enquiry. They are:
- Dependent Variable, and
- Independent Variable
The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.
It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.
For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>
Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.
The dependent variable here would be: <u><em>Germination Rate.</em></u>
Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
Learn more here:
brainly.com/question/24657192
Answer:
60 inches
Step-by-step explanation:
The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.
<h3>Rectangle dimensions</h3>
The square has a side length of ...
P = 4s ⇒ s = P/4 . . . . . P is perimeter, s is side length
(60 in)/4 = 15 in . . . . length of the side of the square
The square has an area of ...
A = s²
A = (15 in)² = 225 in²
When 1 tile is removed, the resulting area, in square inches, is ...
A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16
<h3>Perimeter</h3>
The perimeter of a rectangle is given by ...
P = 2(L+W)
For this rectangle, the perimeter is ...
P = 2(14 in + 16 in) = 2(30 in) = 60 in
The perimeter of the rectangle is 60 inches.
