Start by using trig to find the length of the line LJ
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =

The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x

Opposite=

Therefore line LJ is

Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is

The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x=

* sin45= 4
Answer:
12 dimes and 18 nickels
Step-by-step explanation:
Equations given by word problem:
n + d = 30
0.05n + 0.1d= 2.10
How I solved them:
d= 30 - n
0.05n + 0.1(30 - n)= 2.10
0.05n + 3 - 0.1n= 2.10
-0.05n= -.09
Divide both sides by -0.05
n= 18
18 + d = 30
d= 12
Answer:

Step-by-step explanation:
We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.
This can be represented as a triangle, where x is the unknown side.
|\
| \
x | \ 9
| \
| \
|_____\
4.5
We can use The Pythagorean Theorem to find the value of x. The theorem states that
, where a and b are the lengths of the legs and c is the length of the hypotenuse.
However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

Hope this helped!
To find the perimeter it is 2 X Width + 2 X the length = 84
32+ 2 X the length = 84
2 X the length = 52
Therefore the length is 26cm
The answer is 10 ..............................