Answer:
Step-by-step explanation:
Let's assume
initial velocity =vi
final velocity=vf
initial height =hi
final height =hf
acceleration due to gravity =g
we can use formula
we are given
now, we can plug values
now, we can solve for vf
we get
Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3
Answers:
Step-by-step explanation:
<em>We must simplify each option to see if they are equivalent to .</em>
<em>Lets try A.</em>
can be simplified to by dividing both the numerator and denominator by 3.
÷
A is correct!
<em>Lets try B</em>
simplifies to . However, because this answer is not negative, it is not equivalent.
<em>Lets try C</em>
There is a negative in the numerator, making this fraction negative. So yes, .
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
<em>Lastly, Lets try D</em>
There is a negative in the denominator, so this fraction is negative. can be simplified by dividing by 3 to .
÷3 =
D is correct!
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Answer:
=1050 wildebeests
Step-by-step explanation:
We can form an arithmetic series for the wildebeest migration.
Sₙ=n/2(2a+(n-1)d) where n is the number of terms, d is the common difference and a is the first term.
a=24
n=20
d=3
Sₙ=(20/2)(2(24)+(20-1)3)
Sₙ=10(48+57)
=1050 wildebeests
Answer:
The Shoe Hut
The Shoe Hut
Star's Coffee and Coffee
Step-by-step explanation: