Answer:
6√3 = x y =12
Step-by-step explanation:
Since the two sides of the triangles have equal angles then two sides have equal length
the sum of interior angles of triangles is 180° then the last angle is 60°
then the triangles have perfect sides of 12
y = 12
to calculate x
sin Ф = opposite/hypothenus
sin 60° = x/12
sin 60° = √3/2
( √3/2 ) x 12 = x
6√3 = x
Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ± 
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
3 consecutive numbers....x, x + 1 and x + 2
x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 72 - 3
3x = 69
x = 69/3
x = 23
x + 1 = 23 + 1 = 24
x + 2 = 23 + 2 = 25
so ur numbers are 23,24,25 with 25 being the largest
Answer:
$60
Step-by-step explanation:
The savings of Andries is $120 and his grandfather offered that he would give 50% of the amount he saved.
50% is actually just half of a given amount. So the short way to do this is just half the saving of Andries.
You can also think of it this way:
So we multiply that to the amount saved to solve for what is 50% of 120.
Answer:
43 minutes
Step-by-step explanation:
- <em>Let cycling speed be x and driving speed be y</em>
<u>Equations as per given, considering same distance in both cases:</u>
- 19x + 8y = 13x + 10y
- 19x - 13x = 10y - 8y
- 6x = 2y
- 3x = y
We see that driving speed is 3 times greater than cycling speed
Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:
- 19 + 24 = 43 minutes or
- 13 + 10*3 = 43 minutes is the time to cycle between A and B
