Answer
The fourth factor is 5
Explanation
It is given that there are only four factors. Three of them are 1, 2, 10
Here 10 is a factor, so we know that , if 10 is a factor of a number,
the we can write, 10 = 5 x 2, it implies that 5 and 2 are the factors of that number. Here 2 is given. Therefore the fourth factor is 5
The four factors are 1,2,5 and 10
Answer:
Step-by-step explanation:
-3
Answer:
8 finger puppets.
Step-by-step explanation:
If the puppets both have the same number of buttons, you have to find the largest number that will fit into both numbers. In this case that would be 8:
2 red and 3 blue buttons per puppet.
B. 12 units
C. 16 units
D. 20 units
Answer:
20 units
Step-by-step explanation:
a^(2)+b^(2)=c^(2)
48^(2)+b^(2)=52^(2)
2304+b^(2)=2704
2304-2304+b^(2)=2704-2304
b^(2)=400
\sqrt(b^(2))=\sqrt(400)
b=20
therefore,20 is the length of the unknown side
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Answer:
its -3
Step-by-step explanation:
since the bases are equal then the powers are equal
Answer:the center of the sphere is (1/k, 1/k, 1/k) (or (r/k, r/k, r/k) if r is taken as 1), and the radius is sqrt((1 - ka1)^2 + (1 - ka2)^2 + (1 - ka3)^2) / k.
Step-by-step explanation:
The given vector equation, s(r - kx, y, z) = s(r - ka1, a2, a3) = s(r - kb1, b2, b3) - 0, represents a sphere in three-dimensional space. To find its center and radius, we need to analyze the equation.
Let's compare the given vector equation to the standard equation of a sphere:
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2.
From the given equation, we can identify the following:
1. Center: The center of the sphere can be found by equating the expressions inside the parentheses to zero.
Setting r - kx = 0, we find that x = r/k.
Setting r - ky = 0, we find that y = r/k.
Setting r - kz = 0, we find that z = r/k.
Therefore, the center of the sphere is (r/k, r/k, r/k), or simply (1/k, 1/k, 1/k) if r is taken as 1.
2. Radius: The radius of the sphere can be found by calculating the distance between the center and any point on the sphere.
Considering the points (r - ka1, a2, a3) and (r - kb1, b2, b3), we can calculate the distance between the center (1/k, 1/k, 1/k) and any of these points.
Using the distance formula, the distance between two points (x1, y1, z1) and (x2, y2, z2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2).
Therefore, the radius of the sphere is d = sqrt((1/k - ka1)^2 + (1/k - a2)^2 + (1/k - a3)^2), which simplifies to sqrt((1 - ka1)^2 + (1 - ka2)^2 + (1 - ka3)^2) / k.