Answer:
The coordinates of H′ are (-2,0).
Step-by-step explanation:
It is given that square EFGH stretches vertically by a factor of 2.5 with respect to the x-axis to create rectangle E′F′G′H′.
If a figure stretches vertically by a factor of 2.5 with respect to the x-axis, then the x-coordinates remains same and the points which lie on the axis are also remains the same after stretch.
It is given that the coordinates of H are (-2,0). This point lie on the x-axis, therefore it will remains the same after stretch.
Therefore the coordinates of H′ are (-2,0).
Answer:
Short term Capital gain and $1200
Step-by-step explanation:
Any investment held under a year falls under short term capital gain
5,000 X 0.24 = 1,200
Answer:
∠N = 31
Step-by-step explanation:
MN = MP
∠N = ∠P = x+3
∠M + ∠N + ∠P = 180
4x+6 + x+3 + x+3 = 6x + 12 = 180
x = 28
∠N = 28 + 3 = 31
So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!
From the reference of the 18 degree angle, 'h' is the opposite side and 100 is the adjacent side.
The trig ratio which uses both the opposite and adjacent sides is the tangent.
tan(18) = opp/adj = h/100
Trig equation:
tan(18) = h/100
