<span>In triangle XYZ,
angle X=46 degrees,
XZ = 10 units and
YZ=8 units.
We will find the length of XY using cosine rule:
According to cosine rule:
a² = b² + c² - 2bc cosA (the figure is attached)
Here, A = 46 degree.
a = 8 units.
b <span>= ?
</span>c = 10 units.
</span>⇒ b² = c² - a² -2bc cosA
⇒ b² = 100 - 64 - 160*cos(46)
⇒ b² = 100 - 64 - 160*0.69
⇒ b² = 100 - 64 - 110.4
⇒ b² = 100 - 64 - 110.4
⇒ b² = 74.4
or b = 8.62 units.
or b = 8 untis approximately.
Answer:
3
Step-by-step explanation:
For this question, you need to make change the denominators of the fractions to be equal, making them the same lowest common denominator.
8/9 -> 40/45
4/15 -> 12/45
Since 12 goes into 40 3 1/3 times, he can patrol that many neighborhoods in 8/9's of an hour, which is rounded to 3 because he doesn't have enough time for 4.
Answer:
35x + 14
Step-by-step explanation:
multiply in the brackets
5x × 7 = 35x
(+)2 × 7 = (+)14
4(x÷9)=2
4 is multiplied to the (x÷9) to get your answer of 2
Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4