Answer:
A) √3
Step-by-step explanation:
The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.
So, we have to find them.
The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.
That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.
Dividing those two gives us (2√3)/2, which can be simplified to √3.
P=2l+2w
W=7+3l
So substitute into the original equation
P=2l + 2(7+3l)
78=2l +14 + 6l
-14 -14
—————-
64=8l
8=length
W=7+3l
= 7+3(8)
=7+24
=31
Check your work
Perimeter=8+8+31+31
=78
Hope this helps
X =13 because it’s a 45-45-90 triangle and the sides take the 13square root of 2 and take the 2 out and you get 13. Sorry for the weird explanation, hope you understood.
First, the quotient is positive (since the multiplication or division of any two negative numbers is positive). Second, the relationship between the first two numbers (let's describe them as "a" and "b", these are just placeholders) and the quotient (we'll describe this as "c") is simply multiplication and division, as shown below:
if
a/b =c
then
a = b*c
b = a/c
32m+56mp
=8m(4+7p)
32m+56mp
4m(8m+14p) there is still a common factor of 2
=2x4m(4+7p)
=8m(4+7p)