Looks good to me. Calculation is correct. Although you might want to add to #1 your description; that the width of the rectangle is the circumference of the circle (w = 2πr) and that you add the surfaces together to get the total surface area.
total surface area = area of rectangular part + area of circular parts
SA = 2πrL + 2πr²
<em><u>No</u></em><em><u>,</u></em><em><u> </u></em><em><u>because</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>convert</u></em><em><u> </u></em><em><u>meter</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>millimeter</u></em><em><u> </u></em><em><u>you'll</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>multiply the length value by 1000</u></em><em><u> </u></em><em><u>which</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>give</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>3</u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u>.</u></em>
<em><u>3.5</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>0</u></em><em><u>0</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>5</u></em><em><u>0</u></em><em><u>0</u></em><em><u>.</u></em>
<em><u>have</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>great</u></em><em><u> </u></em><em><u>day</u></em><em><u>!</u></em>
Perpendicular lines have slopes that are negative reciprocals of one another.
slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope
5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5
if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.
Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)
the coordinates of (5,12) can are substituted for x, and y,
so the answer is
(y-12) = -4/5(x-5)
I hope this helped and is BRAINLIEST!
Good luck with your studies!
Answer:
- <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>
- <u>This kind of probability is called conditional probability</u>
Explanation:
Name the events and their probabiities:
- Event A: her favorite character will survive, so P (A) = 0.70
- Event B: her her second favorite character will die, so P(B) = 0.75
- Both characters will die ⇒ P (B and not A) = 0.16
You want to find P (B | not A).
That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.
- P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3
So, you have P(B), P(not A) and want to find P (B | not A)
The definition of conditional probability is:
- P (X | Y) = P (X and Y) / P (Y)
So, replacing with our terms, we get:
- P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53