Answer:
The actual stage is 42 feet long
Step-by-step explanation:
Step 1
Determine the conversion factor as shown;
1 inch in the drawing represents 3 feet in the actual drawing
To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).
Step 2
Convert 14 inches in the drawing to the actual measurement of the stage as follows;
Actual stage length=drawing length×conversion factor
where;
drawing length=14 inches
conversion factor=3
replacing;
Actual stage length=(14×3)=42 feet
The actual stage is 42 feet long
Answer:
12 inches in 1 foot
Step-by-step explanation:
In this problem, we need to find an example that is a scale.
There must be a relation between two units.
There are many types of units of lengths. These can be metre, cm, mm, foot, inches.
The relation between inch and foot is given by :
1 foot = 12 inch
So, we can say there are 12 inches in 1 foot.
<u>Hence, the correct option is (c).</u>
Answer: -11/4
Step-by-step explanation:
P = L + L + w + w
72 = 2(L) + 2(L-4)
Distribute
72 = 2(L) + 2(L) - 8
Add like terms
72 = 4(L) - 8
Subtract 8 from both sides
64 = 4(L)
Divide both sides by 4
16 = L
The length is 16. Now substitute that in the equation for finding w.
w = L - 4
w =
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.
There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
Another way to do it is the longer proof of Pythagorean Theorem:
