Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.
Hope this helps.
Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
On cross multiplication, we get
Taking square root on both sides.
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
