Answer:
3. 
2. 
1. 
Step-by-step explanation:
3. Every 25 is worth 4, and since 3 by 4 is 12, 3⁄25 gets set to ",12", then attach the <em>whole number</em> [4] to it, giving you 4,12.
2. Every 15 is worth 6⅔, and since 7 by 6⅔ is 46⅔, moving the decimal mark twice to the <em>left</em> will give you the above answer, in <em>bar</em><em> </em><em>notation</em>, since it is a repeated decimal.
1. Every 8 is worth 12½, and since 7 by 12½ is 87½ [87,5], moving the decimal mark twice to the <em>left</em><em> </em>will give you 0,875.
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Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Area of the square = (9 m)^2 = 81 m^2
The four circular sectors combine to form a circle with diameter 9 m, hence radius 4.5 m.
Area of the circle = π (4.5 m)^2 = 20.25π m^2
Then the area of the shaded region is
81 m^2 - 20.25π m^2 ≈ 17.4 m^2
Answer:
B. A linear, partial variation
Step-by-step explanation:
We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.
A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.
We will use 10 for a, 15 for b, and 20 for c.
a^2 + b^2 = c^2
Plug in 10 for a, 15 for b, and 20 for c.
10^2 + 15^2 = 20^2
10^2 = 100
15^2 = 225
20^2 = 400
100 + 225 = 400
This is not applicable, as 100 + 225 = 325.
Your answer is:
No, 10,15,20 does not form a right triangle.
I hope this helps!
