Answer:
23.4
Step-by-step explanation:
you use the equation for pythagorean theorem which is a^2+b^2=c^2 and plug in 12 and 18 into the a and b values to get 15^2+18^2=c^2 then you find the numbers squared so 225+324=c^2 add. 549=c^2 find square root. 23.4 rounded.
Subtract 7 from 9. You get 2. It is the "extra". The answer, therefore is 1 2/7
Answer:
a) N = 240 ways
b) N = 303,600 ways
c) N = 10 ways
Step-by-step explanation:
a) Given
General course consist of one course from each of 4 groups.
Social Science = 5 options
Humanities = 4 options
Natural sciences = 4 options
Foreign language = 3 options.
Therefore the total number of possible ways of selecting one each from each of the 4 groups is:
N = 5×4×4×3 = 240 ways
b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.
N = nPr = n!/(n-r)!
n = 25 and r = 4
N = 25P4 = 25!/(25-4)! = 25!/21!
N = 303,600 ways
c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.
N = 5!/(5-5)!(2!)(3!)
N = 5×4/2
N = 10 ways
Answer:
Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)
Step-by-step explanation:
If a variable is common to all terms of an expression, it can be factored.
14m + 21pm - 35mq
Here, m is common to all terms of the expression, so the factored expression is:
Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)
Answer:
The correct option is A.
A) m, because ΔABC ~ ΔEDC
Step-by-step explanation:
Consider the both triangles.
<B = 60°
<D = 60°
<B and <D are congruent
<ACB = 90°
<DCE = 90°
<ACB and < DCE are also congruent.
As sum of the angles of triangle is 180°
<A = 180° - <ACB - <B
<A = 180° - 90° - 60
<A = 30° = m
<E = 180° - <DCE - <D
<E = 180° - 90° - 60°
<E = 30°
As m = 30°
<E = <CED = m
As segment AD cuts segment BE, which results in formation of two triangle, and as all angles of both triangles are equal, both triangles are similar.
