Answer:
y = 72.5 cm
Step-by-step explanation:
We know that tan theta = opposite/ adjacent
tan 30 = x/y
tan 30 =36.25/y
Multiply each side by y
y tan 30 = 36.25y/y
y tan 30 = 26.25
Divide each side by tan 30
y tan 30 / tan 30 = 36.25/tan 30
y = 36.25/ tan 30
y =72.5
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,
where 
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
21) Since all angles = 180,
180=66 + 79 + (43 + x)
Subtract (66 + 79) from both sides, you’d get
35= 43 + x
subtract 43 from both sides and x = -8
Answer:
Understanding a concept like the coordinate plane often means putting the abstract terminology and descriptions into a real-world setting. Mathematics describes the real world, but often it isn’t clear how the concepts translate to real life. Coordinate planes range from being abstract representations of other variables to spatial coordinates that are easy to find real-world examples of. To use a coordinate plane in real life, simply choose what type of system you’re going to use and define the directions they go in. However, you need to consider a few more complicated ideas to get the most out of it.
Step-by-step explanation:
