To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.
3/4 x 5/8 = 15/32
Answer:
28 kilograms
Step-by-step explanation:
All you have to do is 22+6
Answer:
P = 32
x = 35
Step-by-step explanation:
For the first diagram,
The two angles given are corresponding angles. Corresponding angles are equal;
So;
the first angle is a right angle triangle;
90 = 3P - 6
3P = 90 + 6
3P = 96
P = 32
For the second diagram;
The sum of those two angles is 180°
(x + 75) + 2x = 180
x + 2x + 75 = 180
3x + 75 = 180
3x = 180 - 75
3x = 105
x = 35
<span>Let x be the
width of the frame.
Area of the picture is 5*7 = 35 sq in</span>
Area of the
frame given as the same, frame = 35 sq in also
<span>
Therefore the total area (picture & frame) will be 70 sq in</span>
<span>
A simple equation would be made and it will look like this: (7+2x) * (5+2x) =
70
</span>
<span>Using the FOIL
method
35 + 14x + 10x + 4x^2 = 70
4x^2 + 24x + 35 - 70 = 0; subtract 70 from both sides:
4x^2 + 24x - 35 = 0</span>
<span>
unluckily this will not factor easily, so we should use the quadratic equation:
where: a = 4; b = 24; c = -35</span><span>
</span><span> x = -b sqrt b^2 – 4*a*c divided by 2 * a</span><span>
x
= -24</span> ±<span>
sqrt 24^2 -4*4*(-35) divided by 2*4
x = -24 </span>±<span>sqrt 576 -
-(560) divided by 8
x = -24 </span>± sqrt 576 + 560 divided by 8<span>
x = -24 </span>± sqrt1136
divided by 8<span>
x = -24 + 33.7046 divided by 8
x = 9.7046 divided by 8
x =1.213 inches is the answer</span>
<span> </span>
