1/8 because if I choose a black one first then put it back there isn't a 50% chance
9^2*4^4 is the correct answer I believe.
Answer:
2.
a)1
b)1
c)1
Step-by-step explanation:
There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!
some of em are follows:. (x is the given angle)
- sin(x)^2+cos(x)^2=1
- cosec(x)^2=1+cot(x)^2
- sec(x)^2=1+tan(x)^2
You can remember these identity, its gonna help alot.
now back to question,. {x is representing angles)
for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1
for(b) ,
cosec(x)^2=1+cot(x)^2
i.e, cosec(x)^2-cot(x)^2=1, again this is true for all x dat means that for all the angle given in question ,we will get 1
for (c),
sec(x)^2=1+tan(x)^2
i.e,sec(x)^2-tan(x)^2=1,again this is true for all x, dat means that for all the angle given in question ,we will get 1
✌️:)
Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².
<h3>Which method can be used to find the surface area of the figure?</h3>
Radius of the inner cylinder, <em>r</em> = 3 mm
Radius of the outer cylinder, <em>R</em> = 7 mm
Height of the cylinders, <em>h</em> = 6 mm
Given that the inner cylinder exactly fits into the outer cylinder, we have;
The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.
Which gives;
The surface area of the composite figure, <em>A</em>, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.
Which gives;
- A = 2 × π × 7² + 2 × π × 7 × 6
Where, π = 3.14, we have;
A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5
- The surface area of the composite figure, <em>A </em>≈ 571.5 mm²
Learn more about the analyzing of composite figures here:
brainly.com/question/21135654
#SPJ1
Answer:
<h2>$66</h2>
Step-by-step explanation:
Step one:
given data
charges
$4 per bag
$10 weekly fee
let the number of bag be x
and let the total charges be y
<em>the linear function for the total per week is</em>
<em>y=4x+10</em>
Step two:
the independent variable is the weekly fee of $10
for x=14
y=4(14)+10
y=56+10
y=$66
