Answer:
The dimensional analysis method uses equivalences written in <u>fractional</u> form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is <u>1.</u> Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in <u>the numerator and the denominator</u> of the fraction
Step-by-step explanation:
Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication
Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
Answer:
=2.83 the second option
Step-by-step explanation:
Using the trigonometric ratios we can find the sides of the triangle with the acute angles.
In the triangle provided we will use COSINE
Cos ∅=adjacent/hypotenuse
Let us substitute with the values in the question into the formula.
Tan 45 =2/x
x=2/Cos 45
=2.83 units
