the square root between 4 and 5 is \sqrt{24}.
Answer:
Any square root between 16 and 25, not including 16 and 25.
Step-by-step explanation:
Square root of 16 is 4. Square root of 25 is 5. Any number between 16 and 25 when squared will be between 4 and 5.
Answer is 3000.
Explanation;
The given number is 3489.
Before rounding off the given number we should know the place values of the digits. Here,
ones - 9
tens - 8
hundreds - 4
thousands - 3
In this problem, we have to round off the given number to nearest thousand.
Before that, we should look at the digit at the hundreds place.
If that digit is equal or more than 5, we should add 1 to the digit in thousands place unless keep the digit same as it.
Here, 4 is the digit which is before thousands place. 4 is less than 5. Hence, we can keep the digit in thousands place as unchanged.
Hence, rounded off number to nearest thousand is 3000.
Let the first term, common difference and number of terms of an AP are a, d and n respectively.
Given that, 9th term of an AP, T9 = 0 [∵ nth term of an AP, Tn = a + (n-1)d]
⇒ a + (9-1)d = 0
⇒ a + 8d = 0 ⇒ a = -8d ...(i)
Now, its 19th term , T19 = a + (19-1)d
= - 8d + 18d [from Eq.(i)]
= 10d ...(ii)
and its 29th term, T29 = a+(29-1)d
= -8d + 28d [from Eq.(i)]
= 20d = 2 × T19
Hence, its 29th term is twice its 19th term
Answer:
Proved below.
Step-by-step explanation:
a9 = a1 + 8d = 0 where a1 = first term and d = common difference.
we need to prove that
a1 + 28d = 2(a1 + 18d
simplifying:-
a1 + 36d - 28d = 0
a1 + 8d = 0 which is what we are given.
Therefore the proposition is true.
Answer:
Jessica bought 2.25 yards more material than Derek.
Step-by-step explanation:
Jessica bought 5 yards of fabric.
20% extra fabric = 20% of 5
= (20×5)/100
= 1 yard
Total fabric bought by Jessica = 5+1 = 6 yards
Derek bought 3 yards of fabric.
20% extra fabric = 25% of
= (25×3)/100
= 0.75 yard
Total fabric bought by Derek = 3 + 0.75 = 3.75 yards
So,
Difference = 6 - 3.75 = 2.25 yards
Answer: Jessica bought 2.25 yards more material than Derek.
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