Answer:
Step-by-step explanation:
<h3>Given</h3>
- Line segment JL with J(8, -8) and L(-16, -2)
<h3>To find</h3>
- Coordinates of K if K divides JL two-thirds from J
<h3>Solution</h3>
<u>Coordinates of K</u>
- x = 8 + 2/3(-16 - 8) = 8 + 2/3(-24) = 8 - 16 = - 8
- y = -8 + 2/3(-2 - (-8)) = -8 + 2/3(6) = -8 + 4 = - 4
- K = (-8, -4)
Answer:
39 yd^2
Step-by-step explanation:
First, we must divide the shape into quadrilaterals. The best, and easiest, way to do this is to cut along the line in the middle, below the lower 2 yd mark. This will give us a 1 yard by 3 yard rectangle, 4 yard by 8 yard rectangle, and 2 yard by 2 yard square. The next thing to do is to find the area of each location of the backyard using the A = l x w equation. 1 x 3 = 3, 2 x 2 = 4, 4 x 8 = 32. The final step is to add these individual areas, giving us 39 square yards.
Use the Pythagorean Theorem: a^2 + b^2 = c^2. a and b are the legs, and c is the hypotenuse. Plug in your numbers: 9^2 + b^2 = 12^2
81 + b^2 = 144. Subtract 81 from 144 : b^2 = 63. Now take the square root of 63, which is 7.9. 7.9 ft is your answer.
Answer:
The next two terms after a1 is
-6 and then 18
Step-by-step explanation:
Geometric sequence means your pattern for the terms is multiplication by the same number.
So a1 is the first term and r is your common ratio.
The common ratio is what you are multiplying by each time to figure out the next term.
So the geometric sequence goes like this:
a1 , a1*r , (a1*r)*r or a1*r^2 , a1*r^3 ,....
So anyways you have
first term a1=2
second term a2=2(-3)=-6
third term a3=-6(-3)=18
And so on...
The lateral area of a cone is 147ft².
The total surface area of the cylinder is 867ft².
The total surface area is 1014ft²
<h3>What is the lateral surface area of a cone?</h3>
The lateral area of a cone is defined as the area covered by the curved surface of the cone.
Lateral area of a cone = πr x √(r² + h²)
Where:
- r = radius = 12/2 = 6ft
- h = height = 5ft
- π = 3.14
3.14 x 6 x √(36 + 25) = 147ft²
<h3>What is the total surface area of the figure ?</h3>
Total surface area of the cylinder : πr(r + 2h),
(3.14 x 6) x (6 + 40) = 867ft²
Total surface area = 867 + 147= 1014ft²
To learn more about lateral surface area, please check: brainly.com/question/27847638
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