Answer:
C) 0.15
Step-by-step explanation:
<u>Independent Probabilities Formula</u>
P(A | B) = P(A) = P(A ∩ B) ÷ P(B)
P(A | B) = 0.25
P(A) = 0.25
P(B) = 0.6
If P(A) = P(A ∩ B) ÷ P(B)
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.25 × 0.6
P(A ∩ B) = 0.15
The answer
let 's consider the triangle A,
the height is 4
the basis is 3
the hypotenuse 5
A is a right triangle
<span>.a) the sum of the measures of the acute angles of any right triangle is 90°
proof:
the sum of angles in a right triangle is 180°
so x° +90° (right angle)= 180°, x is </span>the sum of the measures of the acute angles, x= 180° -90° = 90°
b) <span>Write the tangent ratios for the acute angles of Triangle A
</span> by using definition, tan = opposite side / adjacent side
let's condider the acute angle 30°
tan 30° = 3/4, because opposite side =3 and adjacent side=4
for the other one, applying the some method we found:
tan 60°= 4/5
we can find also he tangent ratios for the acute angles of Triangle B, by using the same method as given above:
tan 30° = 5/12, because opposite side =5 and adjacent side=12
for the other one, applying the some method we found:
tan 60°= 12/13
the main <span>rule describing the relationship between the tangents of the acute angles of any right triangle is
</span>tangente = opposite side / adjacent side
Answer:
8/21
Step-by-step explanation:
2x4 = 8
3x7 = 21
8/21 cannot be simplified
1/2(5x-6)-1/3(9x-5)+1
5/2x-3-3+5+1 distribute
5/2x-6+5+1 combine like terms
5/2
Answer:

Step-by-step explanation:
Given

Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term

Calculate common ration
or 

So, the nth term is:

