Step-by-step explanation:
plz check the attached for full explained solution
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = 
= 
BC =
--------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = 
tan(15)° = 
BC + 40 = 
BC =
- 40 -------(2)
From equation (1) and (2),


![y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40](https://tex.z-dn.net/?f=y%5B%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D-%5Cfrac%7B1%7D%7B%5Ctext%7Btan%7D%2825%29%7D%5D%3D-40)
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
First, calculate for the area of the base by the equation given,
A = 1/2aP
where A is area, a is apothem, and P is perimeter. Substituting the known values,
A = 1/2(x)(16") = 8x in²
Next, solve for the volume of the prism by the equation,
V = Bh = (8x in²)(10 in)
V = 80x in³
Thus, the volume of the prism is approximately 80x in³.
Answer:
x = 16
Step-by-step explanation:
First, find hypotenuse using 18 and 16.
Using Pythagorean theorem, it gives 24.08
now use it again with the hypotenuse and (36/2) = 18
This gives us x = 16
X^2 - 7x = 0
Factoring:-
x(x - 7) = 0
x = 0' x - 7 = 0 so x = 7
Solution is 0, 7.