0.625625625625...
1.666666....
0.625
1.6
answer : 0.625
Option A:
x = 3
Solution:
Special segments in a circle:
<em>If two secant segments are drawn to a circle from a exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.</em>
⇒ 9 × 4 = x × 12
⇒ 36 = 12x
Divide by 12 on both sides, we get
⇒ 3 = x
Switch the sides of the equation.
⇒ x = 3
The value of x is 3.
Hence option A is the correct answer.
Answer: Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 30 milliliters
Step-by-step explanation:
Given: Total solution required = 130 milliliters
Let x = Amount of 35% solution (in milliliters).
Then, Amount of 87% solution required = 130 - x
As per given,
Concentration = 0.35x +0.87(130-x)=0.47(130)
Hence, Amount of 35% solution required = 100 milliliters
Amount of 87% solution required = 130-100 milliliters =30 milliliters
Answer: Ratios
Step-by-step explanation:
Zalika can work out this estimate by using the ratio of carp to pike that she first caught. This is how to use the ratios:
1) 120 carp : 16 pike --> from given information
2) 136 fish : 16 pike --> add the numbers together to get total fish compared to pike
3) Multiply by 250 --> 34000 divided by 136 is 250
4) 34000 fish : 4000 pike --> 16x250=4000
Dilation involves changing the size of a shape.
- See attachment for the graphs of ABC, A'B'C and A"B"C"
- A"B"C" is a dilation of A'B'C', with a scale factor of 1/4
From the given diagram, we have:
<u>(a) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 2
So, we have:
See attachment for the graph of A'B'C'
<u>(b) Dilate by scale factor 2 with center (0,0)</u>
We simply multiply the coordinates of ABC by 1/2
So, we have:
See attachment for the graph of A"B"C'
<u>(c) Is A"B"C" a dilation of A'B'C</u>
Yes, A"B"C" is a dilation of A'B'C
- <em>ABC is dilated by 2 to get A'B'C</em>
- <em>ABC is dilated by 1/2 to get A"B"C</em>
So, the scale factor (k) from A'B'C' to A"B"C" is:
The scale factor (k) from A'B'C' to A"B"C" is 1/4
And the center is (0,0)
Read more about dilations at:
brainly.com/question/13176891