It is known
and
(if you want to determine cosine of 30° you should draw the perpendicular line to the x-axis and find the point of intersection, the value of x-coordinate is the cosine of 30°).
The angle
and
(see image).
The angle
and
(see image).
Answer:
15
Step-by-step explanation:
If each necklace takes 30 beads, she can make 15 necklaces until she runs out of beads. 450÷30=15. Hope this helps!
Answer:
any options ???
Step-by-step explanation:
Answer:
The answer is Dilation of a scale factor of 4 followed by a reflection of the y axis.
Step-by-step explanation:
On the smaller triangle, the line EF has a length of 1 unit.
On the larger triangle, the line EF has a length of 4 units.
Therefore, the smaller triangle was dilated by 4, since 4x1 is 4.
The triangles was flipped over the y axis.
This means that it was reflected over the y axis.
Answer:
1. x = 1, y = -3
2. x = 3, y = 4
Step-by-step explanation:
Here, we want to solve the sets of simultaneous equations;
a) -y = 5x-2
-3y = -5x + 14
substitute 1 into ii
3(5x-2) = -5x + 14
15x - 6 = -5x + 14
15x + 5x = 14 + 6
20x = 20
x = 20/20
x = 1
from;
-y = 5x - 2
y = -5x + 2
y = -5(1) + 2
y = -3
b) -2y = -6x + 10
2y = x + 5
Substitute ii into i
-(x + 5) = -6x + 10
-x - 5 = -6x + 10
-x + 6x = 10 + 5
5x = 15
x = 15/5
x = 3
2y = x + 5
2y = 3 + 5
2y = 8
y = 8/2
y = 4
