12 hours? If I'm wrong, sorry about that
X=70, y=55
The triangle is an isosceles triangles. In an isosceles triangle, the base angles are congruent.
Then use the triangle angle sum theorem and set the equation to 180.
55+55+x=180
110+x=180
x=70
The angle with 55 degrees and the angle with the variable y are alternate angles. Meaning they are congruent.
30% is equal to 0.3 (found by dividing the percentage by 100). Then we multiply the cost of dinner, $85, by 0.3 to find an answer of $25.50.
Answer: $25.50
Answer:
10.31 ft
Step-by-step explanation:
the base is 25 ft²
leaves 100 ft² for the 4 sides on top
so each triangle got 25ft²
the base length of the triangle is 5ft, bc it's the base length of the pyramid
so the height of the triangle is 10ft,
bc only then do we get a surface area of 25ft²
(b * h /2) for the triangle
now that we got base length and height,
let's look for the slant
we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.
leaving us with 10ft (height) and 2.5ft
slant² = 10² + 2.5²
slant² = 106.25
slant = sqrt(106.25)
slant = 10.31
Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is the radius )
= 2π × 3.5 × 
= 
≈ 5.5 ( to the nearest tenth )