If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
7/(b-36)=28/b
28b-1008=7b
21b=1008
b=48
a/72=28/b
a=72x28/48
a=42
Answer:
<u>84 m²</u>
Step-by-step explanation:
Solving : (Formula mentioned in question)
Finding area of base using Heron's Formula :
⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6
⇒ s - a = 6 - 5 = 1
⇒ s - b = 6 - 4 = 2
⇒ s - c = 6 - 3 = 3
⇒ Area = √6 × 1 × 2 × 3
⇒ Area = √36 = <u>6 m²</u>
Finding the Surface Area :
⇒ 2 × 6 + 12 × 6
⇒ 12 + 72
⇒ <u>84 m²</u>
Answer: $13.50
7 lawns = $94.50
1 lawn = 94.50 ÷ 7
1 lawn = $13.50
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Answer: He charged $13.50 to mow a lawn.
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Answer: 6.05 units
Step-by-step explanation:
<em>Correct question is:</em>
<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
