1) Tanθ= opposite/adjacent
θ=Tan-1(9/7)
θ=52.125 = 52 degrees
2) Cosθ= adjacent/hypothesis
θ=Cos-1(5/12)
θ=65.376 = 65 degrees
the gcf is product of gcf each factor,
gcf(40a³b,24a³b⁵)
= gcf(40,24)•gcf(a³,a³)•gcf(b,b⁵)
= 8a³b
Answer:
Step-by-step explanation:
Given the expression

solving the expression

combine the fractions i.e 

add similar elements i.e 
Thus,
The perimeter of a shape is the sum of its side lengths.
<em>Joshua miscalculated the third length of the triangle</em>
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:


Take square roots of both sides


The other shape in the figure is a square.
So, the perimeter (P) is
---- i.e. the sum of the visible lengths
So, we have:

Evaluate like terms:

Hence, Joshua's error is that:
<em>He miscalculated the third length of the triangle</em>
Read more about perimeters at:
brainly.com/question/6465134
Reduce the expressions, if possible by cancelling the common factors.
Exact form: 22/9
Decimal form: 2.4
Mixed Number form: 2 2/9