There are 63 students in the room because 21 x 3 = 63
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.
5+x>12
8+x>20 and it's system
x>7
x>12
general solution is x>12
<span>The least possible integral is 13.
PS: It's may be </span>yet 12, but in this case, triangle BCD become segment.
Answer:
- reflection over the y-axis;
- dilation with a scale factor of 0.4;
- translation 8 units left and 8 units up
Step-by-step explanation:
<h3>Reflection</h3>
The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) <em>right</em> of the y-axis will be transformed to a point 3 untis <em>left</em> of the y-axis. It is reflected across the y-axis.
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<h3>Dilation</h3>
The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.
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<h3>Translation</h3>
The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.
Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
So
1) work out the value of M when r=2
When r = 2, M = 20.
2) work out the value of r when M=540
When M = 540, r = 6.