3. (x + 1)/4 = 3 / 6
x + 1 = 3/6 x 4 = 2
x = 1
Scale factor = 6 / 4 = 1.5
Ratio of perimeters = 2 : 3
4. x / 21 = 20 / 15
x = 20 / 15 x 21 = 28
Scale factor = 20 / 15 = 4/3
Ratio of perimeters = 3 : 4
Answer:
530.998cm^2
Step-by-step explanation:
General formula for the area of a circle is πr^2
And π is given to be 3.142
R is 13 cm
So let's apply the formula
Area=3.142×(13^2)
Area=3.142×169
Area=530.998cm^2
So the area of the circle is 530.998cm^2
About 80 centimeters, since the 0.5/80 is almost 0
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
The formula would be set up as ratios (or fractions). The first ratio is 6:5, which in total is 11. There were 6 yes out of 11, so the fraction = 6/11.
The second fraction has a total of 5918, however you do not know the amount of yes votes, so the variable placeholder will be called "x".
The final formula would be:
6/11 = x/5918
You do cross multiplication and you get:
11x = 35508. You divide both sides, and you get x = 3228.
Because x is the placeholder for the amount of yes votes, and x = 3228, the amount of yes votes is 3228
