Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find y
To find y, we make use of the relationship between sides lengths 44 & y and angle 39
The relationship is:

i.e.

Make y the subject


-- approximated
Answer:
<em>Option D: 159 3/8 cm^3 </em>
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
<em>159 3/8 cm^3</em>
4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>
You don't need to start with the greater number. Either order of numbers will work because addition had a communitive property, meaning it can be added in any order to get the same answer.
Answer:
x=y[base side of isosceles triangle]
x²+y²=19²
x=√{19²/2)}
x=13.44
y=13.44