We have been given that Layana’s house is located at
on a map. The store where she works is located at
.
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.



Now we will use distance formula to solve our given problem.

Upon substituting coordinates of our given point in above formula, we will get:






Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
Answer:
Therefore Lateral Area of Cone is 189.97 yd².
Step-by-step explanation:
Given:
Slant height = 12.1 yd
Diameter = 10 yd
∴ Radius = half of Diameter = 10 ÷ 2 = 5 yd
To Find:
Lateral Area of Cone = ?
Solution:
We know that,

Substituting the given values we get

Therefore Lateral Area of Cone is 189.97 yd².
Answer:
A = 119 units²
Step-by-step explanation:
side of square is (12√2)sin45 = 12
The portion of the diagonal that is NOT octagon is
12√2 - 12
There are four corner triangles. The sum of their areas is
(12√2 - 12)²
Area of the octagon is area of the square minus four corner triangle areas.
A = 12² - (12√2 - 12)²
A = 119.2935...
The triangle is an Corollary 1 to the isosceles triangle theorem.
Given that,
In the picture we have a triangle,
We have to find which triangle is it.
From the triangle,
The 2 sides are equal and the 2 angles are also equal.
So, The triangle is an Corollary 1 to the isosceles triangle theorem.
According to the isosceles triangle theorem, if two triangle sides are congruent, then the angles across from those sides are likewise congruent.
An isosceles triangle is one with two sides that are the same size and a third side that is a different size.
Therefore, The triangle is an Corollary 1 to the isosceles triangle theorem.
To learn more about triangle visit: brainly.com/question/2773823
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Answer:
Revolutions=37079108.61 rev
Step-by-step explanation:
First if all we have to make the units same to calculate the revolutions
Since distance gis gien in km and radius is given in m we will covert distance to m first.
Distance =S=65000km
Distance=S=65000km*1000m/km
Distance = S= 65000000m
Formula:
S=rθ
where
S is the distance
r is the radius
θ is the revolution in radian
θ=S/r
θ=65000000/0.279
θ=232974910.4 rad
Revolutions=θ/2π
Revolutions=232974910.4/2π
Revolutions=37079108.61 rev