Answer: 5
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + x^2 = 13^2
144 + x^2 = 169
x^2 = 25
square root both sides
x = 5
to check, do 12^2 + 5^2 =169
sqrt of 169 is 13
hope this helps
Answer:
The function diverges to 
.
Step-by-step explanation:
The function diverges to .
It is a 3-4-5 right triangle
leg1 := 3x, leg2:=4x, hypotenuse:=5x
given hypotenuse = 75m
=> 5x=75
So, x= 75÷5 = 15
Therefore, leg1 = 3(15) = 45m.
leg2= 4(15) = 60m.
Answer:
A) Protractor
Step-by-step explanation:
In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.
The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.
