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3 years ago

Annie chooses a girl or a junior. Use the formula p(A*B) = p(A) + P(B)-p(A^B)

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

20/42 + 14/42 - 8/42 = 26/42

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An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin

ioda

The height at time t is
h(t) = 144 - 16t²

When t = 0, then h = 144.
Therefore the height from the ground is 144 when the object is dropped.

When the object reaches the ground, h = 0.
Therefore
144 - 16t² = 0
t² = 144/16 = 9
t = 3 s

Answer:
The object reaches the ground in 3 seconds.

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2

gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations. Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0

4 years ago

What is the unit rate of -4y = 18x

Wittaler [7]

Answer:

Step-by-step explanation:

3 0

4 years ago

6x - 8 ≤ 184 <br> i need answer for test corrections

jekas [21]

I hope this helps.....

Explanation:
I took this in 9th grade so I know how to do this kind of stuff

5 0

3 years ago

The diameter of a circle measures 24ft. What is the circumference of the circle? Use 3.14 for pie , and do not round your answer

dexar [7]

Answer:

75.36

Step-by-step explanation:

5 0

3 years ago