We know that
if ∠WCR=49°
then
measure arc WR=49°-------> by central angle
circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in
if 360°(full circle) has a length of----------> 43.96 in
49°---------------> x
x=49*43.96/360-----> x=5.98 in
alternative method
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in
the answer is
5.98 in
There are 8008 groups in total, in other to drive the children
<h3>How to determine the number of groups?</h3>
From the question, we have
- Total number of children, n = 16
- Numbers to children at once, r = 6
The number of group of children that could be carried at once is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 16 and r = 6
Substitute the known values in the above equation
Total = ¹⁶C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 16!/10!6!
Evaluate
Total = 8008
Hence, the number of groups is 8008
Read more about combination at
brainly.com/question/11732255
#SPJ1
Step-by-step explanation:
as in the other problem, the table describes mutually exclusive attributes.
so, we can simply sum the numbers up to get the total number of students :
3+9+2+16 = 30 students.
so, when picking a random student, we have 30 possibilities.
now, how many of those 30 have the desired attributes (to have a brother AND a sister) ?
I see 3 in the table.
so, the probability to pick a student that has a brother and a sister is
3/30 = 1/10 = 0.1
Answer:
20
Step-by-step explanation:
Since we have given that
Dimensions of a triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
So, the longest side must be 17 feet.
It takes him 30 seconds to install each foot of fencing,
The total perimeter of fencing will be
17 + 15 + 8 = 40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet, he will need
40 × 30 = 1,200 seconds
1200/600 = 20 minutes
Hence, he needs 20 minutes to install all of the fences.
