Answer:
If they are travelling in opposite directions, their total distance is the 135. So add their distances together to get 135
x=Quinn's speed
x+5 = James' speed
they each travel for 5 hours
speed x time = distance
x(5) + (x+5)(5) = 135
Quinn's distance + James' distance = total distance
5x+5x+25=135
10x = 110
x = 11
Quinn travels at 11 mph and James travels at 16 mph
Quinn travels 55 miles (5x11)
and James travels 80 miles (16 x 5)
80 + 55=135
Answer: 122
Step-by-step explanation:
Since it is a geometric sequence, lets see the pattern below:
From this, we can see that we multiply each number by -3 to get the next number.
Before we find the sum, we first find the next number.
-54×-3=162
So the whole sequence will be: 2, -6, 18, -54, 162
Find the sum
2+(-6)+18+(-54)+162
=2-6+18-54+162
=-4-36+162
=-40+162
=122
Hope this helps!! :)
Please let me know if you have any question
In this problem we need to find the apothem and the length of the side before we can find the area of the entire polygon. Each central angle for a regular pentagon is <span><span><span>360∘</span>5</span>=<span>72∘</span></span><span>. So, half of that, to make a right triangle with the apothem, is </span><span>36∘</span><span>. We need to use sine and cosine.
</span><span><span>sin<span>36∘</span></span><span>4sin<span>36∘</span></span><span>8sin<span>36∘</span></span>n</span><span><span>=<span><span>.5n</span>4</span></span><span>=<span>12</span>n</span><span>=n</span><span>≈4.7</span></span><span><span> cos<span>36∘</span>=<span>a4</span></span><span>4cos<span>36∘</span>=a</span><span>a≈<span>3.24
</span></span></span>Using these two pieces of information, we can now find the area.
<span>A=<span>12</span>(3.24)(5)(4.7)≈38.07 unit<span>s^2</span></span><span>.</span>
Answer:
x = 4
Step-by-step explanation:
distribute both parenthesis on the left side of the equation
6 + 3x - 2x - 1 = 9
x + 5 = 9 ( subtract 5 from both sides )
x = 4
