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Dennis_Churaev [7]
3 years ago
13

A square pyramid and its net are shown below. What is the surface area of the pyramid?

Mathematics
1 answer:
jasenka [17]3 years ago
6 0
I think the answer is 800
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What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
2 years ago
A deadly bacteria doubles in size every 3 hour. If there were initially 14 spores present, how long will it take for the number
Len [333]
1792=3x+14
I’m not sure that’s all the way correct
7 0
2 years ago
Write these numbers in order of size. <br><br> start with the smallest number. 75% 7/8 0.25 1/2 2/3
Step2247 [10]
0.25,1/2,2/3,7/8,75%
6 0
2 years ago
Read 2 more answers
Which expressions are equivalent to z + (z + 6)?
katrin2010 [14]

Answer:

z=3 because in the 2(z+3) is like (z+2)+(z+6)

3 0
2 years ago
Please answer! Will give brainliest. Have a good day:)
taurus [48]

Answer:

B.

Step-by-step explanation:

Green: y = 1.75x + 4

The slope is 1.75 which is the rate per mile.

Green charges $1.75 per mile.

White:

For 3 miles: $10.50

For 5 miles: $13.50

Difference: $13.50 - $10. 50 = $3.00

The $3.00 difference is for 2 miles.

Rate per mile: $3.00/2 = $1.50

White charges $1.50 per mile

Answer: B.

6 0
2 years ago
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