Answer:
choosing two socks from a drawer of black and white socks without replacement
Step-by-step explanation:
Dependent events have results that depend on each other. When I take one sock out, there are less socks in the drawer to pick from. The probability of picking a certain sock changes because the number of socks are different when I do not put the sock back. That makes the events dependent.
When I put the sock back, the probability goes back to what it was before I took the sock, and now the results do not depend on each other, so when they are replaced, they are independent
we know that
acceleration due to gravity is 9.8m/s^2
so, we get

and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides


we are given
v(0)=35m/s
we can use it and find C



now, we can plug it back

we know that
integral of velocity is height
we can integrate it again



now, we have
s(0)=6
we can use it and find C


now, we can plug back C

and we get
.............Answer
The ratio of the measures of two complementary angles is 1:5. What are the measures of the angles? A. 30
Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
Answer:
0.21
Step-by-step explanation:
The given expression is :

We need to solve it.
We know that,

So,

or

So, the value of the given expression is equal to 0.21.