Answer:
x = 25
Step-by-step explanation:
Here's my work. Basically, I knew that the x in angle A is alternate interior to angle C, so they would both be x. the 50 degrees is one a 180 degree line, so the inside of the triangle DCB is 130. X must equal x, so they would both be 25 degrees.
Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = x base x height
From the problem,
base = x height
let the base = b
height = h
b = h
h = 3b
Input into the formula of area;
24 = x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
Volume is defined as area of the base*the hight.
In this question the base is the traingles.
Area of a triangle is base*hight/2, so it 8*6/2= 24
Volume is 24*8(hight)=192
So the answer is 192cm^3
Answer:
The area of the field = 19966.21 units²
Step-by-step explanation:
* Lets explain how to find area of a triangle by trigonometry rule
- In any triangle if you have the lengths of two sides and the measure
of the including angle between these two sides, then the area of the
triangle is A = , wher α is the
including angle between them
* Lets solve the problem
∵ The field is shaped triangle
∵ The lengths of two sides of the field are 218.5 and 213.3
∴ s1 = 218.5
∴ s2 = 213.3
∵ The measure of the angle between the two sides is 58.96°
∴ α = 58.96°
- Lets find the area using the rule of trigonometry
∴
∴ The area of the field = 19966.21 units²