If the length of AB=12, what is the length of AP?
1 answer:
Answer:
AP= 12
Step-by-step explanation:
Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.
Given: AB= 12
∠APB= 60°
Remember; sum of all angle of triangle is equal to 180°.
We can look at picture, where two side of triangle is radius of circle.
∴ Angle of two side will also be same for the isosceles triangle.
Lets assume the unknow angle of the triangle be "x".
Now,
⇒ 2x+60= 180
subtracting both side by 60
⇒
∴
As now we have all the angle of triangle is 60° (equilateral triangle)
∴ All the side will be same, which is 12
Hence, AP= 12.
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Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The picture is the complete question.
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
Answer:
see explanation
Step-by-step explanation:
The inverse of a matrix A = is
=
If ad - bc = 0 then the matrix has no inverse
A =
ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then
=
=