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ikadub [295]
2 years ago
9

Find the following sums ( for letter C)

Mathematics
1 answer:
anygoal [31]2 years ago
6 0

Each number in the sum is even, so we can remove a factor of 2.

2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)

Use whatever technique you used in (a) and (b) to compute the sum

1 + 2 + 3 + 4 + ... + 39 + 40

With Gauss's method, for instance, we have

S = 1 + 2 + 3 + ... + 38 + 39 + 40

S = 40 + 39 + 38 + ... + 3 + 2 + 1

2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41

S = 20×21 = 420

Then the sum you want is 2×420 = 840.

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Verdich [7]
The answers B !!!!!!!
3 0
2 years ago
Find the length of the third side. If necessary, round to the nearest tenth.47
IRISSAK [1]

Given a right angle triangle

The length of the legs are 4 and 7

we will find the hypotenuse using the Pythagorean theorem

So,

\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}

Rounding to the nearest tenth

So, the answer is the length of the third side = 8.1

3 0
1 year ago
Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph. At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the sa
NNADVOKAT [17]

Answer: They meet after 1 hour 42 minutes.

Step-by-step explanation:

Since we have given that

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph.

Let the time taken by Dana be 't'.

Distance traveled by Dana would be 55t.

At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the same route.

It means after 2 hours Lance leave for LA.

So, time taken by Lance be 't-2'.

Distance traveled by Lance would be 45(t-2)

Total distance  = 260 miles

According to question, it becomes,

55t+45(t-2)=260\\\\55t+45t-90=260\\\\100t=260-90\\\\100t=170\\\\t=1.7\ hours=1\dfrac{7}{10}=1\ hour\ and\ \dfrac{7\times 60}{10}\ minutes=1\ hour\ 42\ minutes

Hence, they meet after 1 hour 42 minutes.

4 0
3 years ago
The distance across the field is 200 m. Is the distance across the same field greater than or less than 20 km?
Ghella [55]
It is less than 20 km, because 20 km is equal to 20000 m
3 0
3 years ago
Read 2 more answers
Determine the mean of 28,40,53,39,45
damaskus [11]

Answer:

41

Step-by-step explanation:

Add the numbers together and divide by 5. 5 is the amount of numbers in the example.

8 0
3 years ago
Read 2 more answers
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