Answer:20cm
Step-by-step explanation:
If the blue ribbon is 9cm shorter you’re just subtracting 29-9 which is 20cm.
Answer:
1.25+√3 or 2.9821 to the nearest ten thousandth.
Step-by-step explanation:
sin 60 = √3/2, tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4
So we get 2 *√3/2 + 1 + 1/4
= √3 + 1.25
Answer:
A = .785 inches ^2
Step-by-step explanation:
C = pi *d
We know the diameter = 2*r
C = pi*2*r
Substituting pi = 3.14 we can solve for r
3.14 = 2*pi*r
3.14 = 2*3.14 *r
Divide by 3.14 on each side
3.14/3.14 = 2*3.14 *r/3.14
1 = 2r
Divide by 2
1/2 =2r/2
1/2 =r
Now we can find the area
A = pi *r^2
A = 3.14 *(1/2)^2
A= 3.14 *1/4
A = .785 inches ^2
Answer:
6108795
Step-by-step explanation:
To obtain the number of ways the committee can be selected :
4 teachers from the 12 teachers available and 3 students from the 43 students available
Using combinatorics :
12C4 * 43C3
recall :
nCr = n! ÷ (n - r)!r!
Using calculator :
12C4 = 495
43C3 = 12341
12C4 * 43C3
495 * 12341
= 6108795