Answer:
Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)
Step-by-step explanation:
You first have to find the midpoints of AC and AB.
AC X coordinate:
X1+X2/2
Substitute the x points of AC in
1+(-5)/2=-2
AC Y coordinate:
Y1+Y2/2=3
Substitute the y points of AC in
5+1/2=3
You do the same thing with the AB line. I am pretty sure this works and I hope this helps!
Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.
<h3>
How to convert decimal to fractions.</h3>
From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.
Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:
= 1 + 15/100
= 1 + 3/20
= 1 3/20
Therefore, the fraction is 1 3/20.
Learn more about fractions on:
brainly.com/question/17220365
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
Answer:
here
Step-by-step explanation:
