<em>Length of side YZ to the nearest tenth is 16 ft</em>
<em></em>
To solve this question we would use the sine rule. The sine rule states that
<u>A/sin a = B/sin b</u>
if we take our angle a to be XZY, and b to be ZXY.
Going by angles in a triangle, ZXY = 180 - 90 - 35 = 55. This means that our angle b is 55º
applying the sine rule, we have
11/sin 35 = B/sin 55
11/0.5736 = B/0.8192, if we cross multiply, we have
B = (11 * 0.8192)/0.5736
B = 9.0112/0.5736
B = 15.7 ft
learn more about sine rule here brainly.com/question/9599008
Answer:
x=-8 ,2
Step-by-step explanation:
x ^ 2 + 6x - 6 = 10
Add 6 to each side
x ^ 2 + 6x - 6+6 = 10+6
x ^ 2 + 6x = 16
Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side
6/2 =3 , 3^2 =9
x ^ 2 + 6x +9 = 16+9
(x+3)^2 = 25
Take the square root of each side
sqrt((x+3)^2) = ±sqrt(25)
x+3= ±5
Make 2 equations
x+3 = 5 x+3 = -5
Subtract 3 from each side
x+3-3 =5-3 x+3-3 = -5-3
x =2 x=-8
I don't know the last point, but I'm going to assume it's N.
MN = 12 and KN = 8.
That would make this a rectangle.
All angles add up to 360.
▪ Answer:
n = 17
d = 8
▪ Step-by-step explanation:
Hi there !
1 nickel = 5c
1 dime = 10c
$1.65 = 165c
n + d = 25 => n = 25 - d
5n + 10d = 165
replace n
5(25 - d) + 10d = 165
125 - 5d + 10d = 165
5d = 165 - 125
5d = 40
d = 8 (dimes)
n = 25 - d
n = 25 - 8
n = 17 (nickels)
Good luck !
Answer:
A. 282
Step-by-step explanation:
A trick I know is if you add all the digits of the number and they add up to a multiple of 3, it is divisible by 3.
282:
2 + 8 + 2 = 12
187:
1 + 8 + 7 = 16
385:
3 + 8 + 5 = 16
412:
4 + 1 + 2 = 7
