Answer:
Step-by-step explanation:
Area of a circle is ...
A = πr² . . . r is the radius
Area of a sphere is ...
A = 4πr²
Lateral area of a cylinder is ...
A = πdh = 2πrh . . . h is the height
Volume of a cylinder is ...
V = πr²h
Volume of a sphere is ...
V = (4/3)πr³
___
The area of the composite figure is the sum of the areas ...
total area = base circle area + cylinder lateral area + 1/2 sphere area
= πr² + 2πrh + (1/2)4πr² = (πr)(r +2h +2r)
= πr(3r +2h)
For the given dimensions, r=3 in, h = 13 in, this is ...
total area = π(3 in)((3·3 +2·13) in) = 105π in²
___
The volume of the composite figure is the sum of the volumes ...
total volume = cylinder volume + 1/2 sphere volume
= πr²h + (1/2)(4/3)πr³ = πr²(h + 2/3r)
= π(3 in)²((13 +2/3·3) in) = 135π in³
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
<h2><em><u>m</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>
Step-by-step explanation:



<em>[</em><em>Cross</em><em> </em><em>Multiplication</em><em>]</em>
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m

=> <em><u>m</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
Probability that the respondent has a pet given that the respondent has had a pet is
or 0.46.
Step-by-step explanation:
We are given the following results below;
37% have a pet now and have had a pet.
63% do not have a pet now.
81% have had a pet.
19% do not have a pet now and have never had a pet.
Let event B = respondent has a pet now
Now, Probability that the respondent has had a pet = P(A) = 0.81
Probability that the respondent has a pet now and has had a pet =
= 0.37
So, Probability that the respondent has a pet given that the respondent has had a pet is given by = P(B/A)
<u>This conditional probability is solved as ;</u>
P(B/A) =
=
= 0.46.
Answer:
the 2nd option
Step-by-step explanation:
the second option is in standard form (y = ax^2 + bx + c), c gives us the y intercept