Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
30°
Here's why:
Using the well-known Pythagorian theorem we can reckon how long the hypotenuse is:
c^2=6^2+36*3 -> c=12
Knowing that sin(a)=a/c=6/12=0.5 the measure of the angle in degrees is 30°
Hope could help :)
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
a) 0.25
b) 0.38
c) 0.12
d) 0.64
Step-by-step explanation:
We have these following informations.
There are 500 people between 18 and 29. Of those 190 have at least one tattoo and 310 have no tattoo.
There are also 500 people between 30 and 50. Of those, 60 have at least one tattoo and 440 have no tattoo.
a) P(tattoo)
There are 1000 people. Of those, 190+60 = 250 have tattoo. So P(tattoo) = 250/1000 = 0.25.
b) P(tattoo|age 18-29)
There are 500 people aged 18-29. Of those, 190 have at least one tattoo. So P(tattoo|age 18-29) = 190/500 = 0.38.
c) P(tattoo|age 30-50)
There are 500 people aged 18-29. Of those, 60 have at least one tattoo. So P(tattoo|age 30-50) = 60/500 = 0.12.
d) P(age 18-29|tattoo)
250 people have at least one tattoo. Of those, 160 are between 18 and 29. So P(age 18-29|tattoo) = 160/250 = 0.64.
