Answer:
90pi
Step-by-step explanation:
SA = pi r l +B
we know the radius is 5
We need to find the slant height using the Pythagorean theorem
a^2+b^2 = c^2
5^2+12^2 = l^2
25+144= l^2
169 = l^2
Taking the square root of each side
sqrt(169) = sqrt(l^2)
13 = l
B is the area of the base
B = pi r^2 = pi (5)^2 = 25 pi
SA = pi r l +B = pi (5)*13 + 25pi
=65pi +25pi = 90pi
Step-by-step explanation:
1st,
the area of the rectangular =7×5=35
area of triangle =3×4/2=6
area of square =2×2=4
area of shadowed region =35-(6+10)=25
According to the question,
A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred
answer:-
probability of a point in rectangle inside triangle =6/35=0.17
B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth.
answer:
probability of that a point chosen randomly inside the rectangle will be in the shaded region=25/35=5/7=0.71
Answer:
b=11 a=-2
Step-by-step explanation:
4=x and 7=y and 4+7=11
a(4)+3(7)=13
4a+21=13
-21 -21
4a=-8
÷4 ÷4
a=-2
Answer:
The average speed is 7.5
Step-by-step explanation:
Speed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.
Then, the average speed relates the change in position to the time taken to effect that change:
The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.
In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):
d(5)= 0.5*5²= 12.5 m
d(10)= 0.5*10²= 50 m
So:
- change in position= final position - initial position= 50 m - 12.5 m= 37.5 m
- change in time= 10 s - 5 s= 5 s
Replacing in the definition of speed:
and solving you get:
speed= 7.5
<u><em>The average speed is 7.5 </em></u><u><em></em></u>