Answer:
perimeter is 4 sqrt(29) + 4pi cm
area is 40 + 8pi cm^2
Step-by-step explanation:
We have a semicircle and a triangle
First the semicircle with diameter 8
A = 1/2 pi r^2 for a semicircle
r = d/2 = 8/2 =4
A = 1/2 pi ( 4)^2
=1/2 pi *16
= 8pi
Now the triangle with base 8 and height 10
A = 1/2 bh
=1/2 8*10
= 40
Add the areas together
A = 40 + 8pi cm^2
Now the perimeter
We have 1/2 of the circumference
1/2 C =1/2 pi *d
= 1/2 pi 8
= 4pi
Now we need to find the length of the hypotenuse of the right triangles
using the pythagorean theorem
a^2+b^2 = c^2
The base is 4 ( 1/2 of the diameter) and the height is 10
4^2 + 10 ^2 = c^2
16 + 100 = c^2
116 = c^2
sqrt(116) = c
2 sqrt(29) = c
Each hypotenuse is the same so we have
hypotenuse + hypotenuse + 1/2 circumference
2 sqrt(29) + 2 sqrt(29) + 4 pi
4 sqrt(29) + 4pi cm
Answer:
Sharon spent a total of 49 minutes yesterday reading the book
Step-by-step explanation:
Step 1: Calculate the rate at which she reads
The total number of pages she reads at any given time interval can be expressed as;
T=P×m
where;
T=Total number of pages she reads
P=the rate at which she reads in number of pages per minute
m=total number of minutes she takes reading a book
In our case;
T=10 pages
P=p
m=35 minutes
replacing;
10=p×35
p=10/35
p=(10/35)
The rate at which she reads=(10/35) pages per minute
Step 2: Calculate the time she spent reading the book yesterday
Yesterdays variables are as follows;
T=14 pages
p=(10/35) pages per minute
m=unknown
replacing;
14=(10/35)×m
m=14×(35/10)
m=49
Sharon spent a total of 49 minutes yesterday reading the book
Answer:
1080 calories
Step-by-step explanation:
all you do is add 120 everytime she goes on run
The student is not correct.
Absolute value means distance from zero
|-9| = 9
|4| = 4
Since 9 is greater than 4,
|-9| is greater than |4|
In other words, -9 is further from zero then 4
