Step-by-step explanation:
hope the attached picture was able to help you
they need 2 cups and 2/3
2/3 * 4 = 8/3 and 8/3 = 2 wholes (3 + 3) and 2/3 (6 + 2)
r=1/6
Please show your work
Answer:
Step-by-step explanation:
If m = 4, z = 9 and r = 1/6
1. 3 + m = 3 + 4 = 7
2. z - m = 9 - 4 = 5
3. 12r = 12 × 1/6 = 2
4. 60r - 4 = 60(1/6) - 4 = 10-4 = 6
5. 4m - 2 = 4(4) - 2 = 16-2 = 14
Answer:
D) (x - 3)^2 + (y - 2)^2 = 37
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2
We are given the center (3, 2), so we have h = 3, and k = 2.
The equation is now:
(x - 3)^2 + (y - 2)^2 = r^2
We need to find the radius.
The radius of a circle is the distance from the center of the circle to any point on the circle. We know the center, (3, 2), and we know a point on the circle, (9, 3). We can use the distance formula to find the distance between the center and that point which is the radius of the circle.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(9 - 3)^2 + (3 - 2)^1]
d = sqrt(6^2 + 1^2)
d = sqrt(37)
Now that we have the radius, we apply it to the equation of the circle.
(x - 3)^2 + (y - 2)^2 = (sqrt(37))^2
(x - 3)^2 + (y - 2)^2 = 37
Answer: D) (x - 3)^2 + (y - 2)^2 = 37
Answer: arithmetic
Step-by-step explanation:
An arithmetic sequence is when you ADD a number (d) to the previous number to create the next numbers in the sequence.
A geometric sequence is when you MULTIPLY a number (r) to the previos number to create the next numbers in the sequence.
Notice that "a" is added to each term in the sequence.
Answer:
or
Step-by-step explanation:
The lateral area of a cylinder is calculated by the following formula
Where r is the radius of the right cylinder and h is the height
In this case we know that the diameter d of the cylinder is
Therefore the lateral area is:
Answer:
The lateral area of a right cylinder = 96π cm²
Step-by-step explanation:
Points to remember
The lateral area of a right cylinder = 2πrh
Where r - Radius of cone and
h - Height of cone
To find the lateral surface area
Here diameter d = 12 cm
then radius r = d/2 = 12/2 = 6 cm
And h = 8 cm
Lateral surface area = 2πrh
= 2 * π *6 * 8 = 96π cm²
Therefore the lateral area of a right cylinder = 96π cm²