Answer:
Step-by-step explanation:
let polynomial P(x)=ax³+bx²+cx+d
-3=-a+b-c+d
-2=d
-1=a+b+c+d
-1=a+b+c-2
a+b+c=1
-3=-a+b-c-2
a-b+c=1
a+b+c-(a-b+c)=1-1=0
2b=0
b=0
so a+c=1
6=8a+4b+2c+d
6=8a+4b+2c-2
8a+4b+2c=8
4a+2b+c=4
or 4a+0+c=4
4a+c=4
a+c=1
subtract
3a=3
a=1
1+c=1
c=0
reqd .P(x)=1x³-2=x³-2
Answer:
Step-by-step explanation:
<em>Refer to picture.</em>
Let the distance to men are x and y and the distance between them is d.
The angle of depreciation is 27° and 30°, hence top angle of the triangle is 63° or 60°.
<u>Find the distance from the tower to men:</u>
- x = 20 tan 63° = 39.25 m
- y = 20 tan 60° = 34.64 m
<u>The distance between men is:</u>
- d =

<em>Note, all numbers are rounded</em>
Answer:
see explanation
Step-by-step explanation:
(1)
the sine of an angle = 
(a)
here the opposite is 12 and the hypotenuse is 13
12 is the side opposite ∠DEF ← required angle
(b)
the tangent of an angle = 
here the opposite is 5 and the adjacent is 12
∠DFE ← required angle
(2)
to calculate AB use Pythagoras' identity in the right triangle
AB² = 2² + 3² = 4 + 9 = 13, hence
AB =
≈ 3.6 ( to nearest tenth )
tanB =
⇒ B = 33.7°
tanA =
⇒ A = 56.3°
Principle: divide the correct possibilities by the total nr. of possibilities to find the probability.
6. P(green) = 5 / (7+5+6) = 5/18
7. P(red) = 6 / 18 = 1/3
8. P(not green) = P(red | blue) = (6+7)/18 = 13/18
9. P(HH) = 5/25 = 1/5
10. P(HT) = 16/25
11. P(NOT TT) = P(HH | HT) = (5+16)/25 = 21/25
12. P(HH | TT) = (5+4)/25 = 9/25
13. P(5) = 1/6. P(H) = 1/2. P(5 & H) = 1/6*1/2 = 1/12. If you draw all the possibilities, you'll find there are 12. One of them is 5 & Heads.