Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>135</u></em><em><u>°</u></em></h2>
Step-by-step explanation:
<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>, </u></em>
45° + x = 180° <em>[</em><em>Linear</em><em> </em><em>pair</em><em>]</em>
=> x = 180° - 45°
=> <em><u>x = 135° (Ans)</u></em>
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
To solve for
You first need to find a common denominator.
To do so, you need to make both denominators 10 by multiplying the top and bottom of
by 5
=
Reduce by dividing both the top and bottom by 2
Your answer is
Jason: 5/7
Sara: 4/5
Think of it this way: if the total track is a mile, and Jason runs 5/7 of it, he has run 5/7 of a mile. Then Sara runs 4/5 OF 5/7, with "of" meaning "times," so she runs 4/5 x 5/7, which gives you 20/35, which simplifies to 4/7. You can also think of Sara's distance as 80 percent of Jason's. If she runs "80 percent of the sevenths that Jason ran," that means she ran 4 out of his 5 sevenths.
Answer:
The speed will be "144 mph".
Step-by-step explanation:
Let the speed of the plane be "x mph".
then,
The car's speed be "x-130 mph".
According to the question,
⇒ 
By applying cross-multiplication, we get
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
