Answer:
Step-by-step explanation:
Let the number of games is g
<u>Total cost at Mar Vista:</u>
<u>Total cost at Pinz:</u>
<u>Since same amount spent in both places, we have:</u>
- 3.5g + 2 = 3.25g + 5
- 3.5g - 3.25 = 5 - 2
- 0.25g = 3
- g = 3/0.25
- g = 12
56m^2
see the steps from the pic
Answer:
distance TS ≈ 19 m (nearest meter)
Step-by-step explanation:
The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R. The adjacent side of the triangle is the side TS.
using tangential ratio
tan 63° = opposite/adjacent
tan 63° = 38/adjacent
cross multiply
adjacent tan 63° = 38
divide both sides by tan 63°
adjacent side = 38/tan 63°
adjacent side = 38/1.96261050551
adjacent side = 19.3619670807
distance TS ≈ 19 m (nearest meter)
Answer:
Lines m and n cannot be parallel
Step-by-step explanation:
1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.
2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180
3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel
4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel
As the cube has 6 faces the area of one face will be 864 / 6 = 144 in^2
so each edge = 12 in
Volume of cube = 12^3 = 1728 in^3
