We can use the Cosine Law:
c² = a² + b² - 2 ac cos C
180² = 50² + x² - 2 · 50 · x · cos 150°
32,400 = 2,500 + x ² - 100 x · ( - √3/2 )
32,400 - 2.500 - x² = 100 x · 0.866
29,900 - x² = 86.6 x
- x² - 86.6 x + 29,900 = 0 / · ( - 1 )
x² + 86.6 x - 29,900 = 0
x 1/2 = ( - 86.6 +/- √(86.6² + 4 · 1 · (-29,900) )) / 2
x = ( - 86.6 + 356.6 )/ 2 ( other solution is negative )
x = 135
Answer: C ) 135 miles/hour
Answer: <em>3</em>
Step-by-step explanation:
<em>Take your equation x-1=2</em>
<em>Now put 3 in for x</em>
<em>3-1=2</em>
<em>2=2</em>
<em>x=3</em>
<span>1.6-g when g=1.2
= 1.6 - 1.2
= 0.4
</span><span>1/2 k when k =2/3
1/2 (2/3)
= 1/3
hope it helps</span>
Answer:
5.83 blocks away from his home
Step-by-step explanation:
If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.
The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G
G^2 = 5^2 + 3^2
G^2 = 25 + 9
= 34
G = √34
=5.83
John is 5.83 blocks away from his home
Answer:
(1252+252)(52−1)
=(1252+252)(52+−1)
=(1252)(52)+(1252)(−1)+(252)(52)+(252)(−1)
=390625−15625+15625−625
=390000
divide by 39 is
=10000
