The arrangement of mother's eye level, ground level and playground forms a right angles triangle.
The legs of this triangle are 12.6 m (eye level to ground) and 20 m (building to playground).
Using trigonometry and assuming the depression angle is Ф;
tan Ф = 20/12.6 = 1.5873
Ф = tan ^-1(1.5873) = 57.78°
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
The rent for one movie is $4.50 and rent for one video game is $5.50
Step-by-step explanation:
Let,
Rent for one movie = x
Rent for one video game = y
According to given statement;
12x+2y=65 Eqn 1
3x+5y=41 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 18
Putting y=5.50 in Eqn 2
Dividing both sides by 3
The rent for one movie is $4.50 and rent for one video game is $5.50
Keywords: linear equation, elimination method
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Answer:
Step-by-step explanation:
we know that
Triangles ABC and CDE are similar triangles, because the corresponding angles are congruent
------> by vertical angles
----> given problem
----> The sum of the internal angles of the triangle must be equal to degrees
we have
so