Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
10 times 0.84 is 8.4 or 8.40 is completely fine as well.
Answer:
-33/10z - 11
Step-by-step explanation:
since all of these terms are being added, there are no need for the parenthesis
-7/2z +4 + 1/5z -15
add like terms (to add the fractions, convert them to a common denominator)
-7/2z + 4 + 1/5z - 15
-35/10z + 2/10z - 11
-33/10z - 11
The 15th term in the given A.P. sequence is a₁₅ = 33.
According to the statement
we have given that the A.P. Series with the a = 5 and the d is 2.
And we have to find the 15th term of the sequence.
So, for this purpose we know that the
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
And the formula is a
an = a + (n-1)d
After substitute the values in it the equation become
an = 5 + (15-1)2
a₁₅ = 5 + 28
Now the 15th term is a₁₅ = 33.
So, The 15th term in the given A.P. sequence is a₁₅ = 33.
Learn more about arithmetic progression here
brainly.com/question/6561461
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Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9 to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9 = 
= 
= 
2) Now we need to convert into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
