Answer:
792
Step-by-step explanation:
It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.
So the answer is
12C5
12!
====
(12 - 5)! * 5!
12 * 11 * 10 * 9 * 8
==============
5 * 4 * 3 * 2 * 1
792
In 8 weeks the reef grows 13 m, or 104 m.
Converting 104 m into mm:
104 m 1000 mm
--------- * ------------- = 104,000 mm
1 1 m
Answer:
x = 20√2 and y = 20√3.
or x = 28.28 and y = 34.64 to the nearest hundredths.
Step-by-step explanation:
Take the 2 'inside' triangles. They are similar.
So we have x / (60-40) = 40 / x
x/ 20 = 40 /x
x^2 = 800
x = √800
x = 20√2
y = √(800 + 20^2)
= √(1200)
= 20√3.
Answer:
<76
Step-by-step explanation:
Remark
You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.
Properties
<ABG = x Given
<ABG = <BGF Alternate interior angles are equal.
<BGF = x Substitute
x + 2x - 9 = 180 Consecutive angles in a ||gram equal 180 degrees.
3x - 9 = 180 Add 9 to both sides
3x - 9 +9 = 180 +9
3x = 189 Divide by 3
x = 63
<DHG = 2x - 50 Given
<DHG = 2*63 - 50 Substitute for x
<DHG = 76
<IDC = 76
<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.
Answer:
c
Step-by-step explanation:
f(x) =10 (20)=200
