Answer: The ladder will be unsafe because its angle with the ground is greater than 70°.
Step-by-step explanation: hope that helps
Answer:
C. 4 weeks
Step-by-step explanation:
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week
After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Trish = 38 + 10x
Aria = 30 + 12x
Where,
x = number of weeks
After how many weeks will Trish and Aria have walked the same number of miles?
Equate both equations
38 + 10x = 30 + 12x
38 - 30 = 12x - 10x
8 = 2x
x = 8/2
x = 4 weeks
<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>
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4