Answer:
y = √{(a - x)/2b}
Step-by-step explanation:
x=a-2by²
2by² = a - x
divide through by 2b
y² = (a - x)/2b
y = √{(a - x)/2b}
Answer:
A'B'= 3 cm and B'D' = 1.6 cm
Step-by-step explanation:
First of all, we are told that the scale factor = 1/5
Now,we know that If the scale factor is less than 1, then the dilation is a reduction.
Thus, in this question the dilation is a reduction.
For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor
Thus;
A'B' = AB(1/5)
A'B' = 15(1/5) = 3 cm
B'D' = BD(1/5) = 8(1/5) = 1.6 cm
Thus, The length of each side of the dilated rectangle are;
A'B'= 3 cm and B'D' = 1.6 cm
Answer:
x = 8
Step-by-step explanation:
If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:
2 + 1 + 2 + x + 5 = 10 + x
The value of x can be 2, 5 or 8
If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:
2 - 1 + 2 - x + 5 = 8 - x
x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.
So the value of x is 8.
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
Answer:
0.2
<em>Hope this helps!</em>
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<em>xoxo,</em>
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<em>cafeology</em>
