I believe that the answer is <span><span>2<span>m2</span></span>+<span><span><span>−1</span>4</span>m</span></span>+<span>7<span>4 </span></span>
Answer:
4608*sqrt(3)
Step-by-step explanation:
x + 2x = 3x, so 3x is the height of the triangle. This is a 90-60-30 triangle so the base would be 3x*sqrt(3). To find the area, we can multiply the base with the height and divide by two, so it would be (3x)(3x*sqrt(3))/2 or (9/2)x^2 * sqrt(3). x = 32, and plugging this into the equation gets us to (9/2)32^2 * sqrt(3), which is 4608*sqrt(3).
Here’s the answer! Let me know if you have any questions
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
$2.25 <span>$7.0875</span>
$2.25
$2.25
---------
$6.75
x Tax 5%
$7.0875
