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nexus9112 [7]
3 years ago
11

Geometry// please help!

Mathematics
2 answers:
const2013 [10]3 years ago
8 0
There is no picture attached
Dennis_Churaev [7]3 years ago
5 0
I would help but I don’t see a picture attached, sorry
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what is the units digit of the sum of 1!+2!+3! ... n! when n=2019. Include an explanation and what a unit digit is.
horsena [70]

Hey!

Finding the factorial for the first few numbers, we have:

1!=1

2!=2

3!=6

4!=24

5!=120

6!=720

7!=720*7

8!=720*56

What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.


Feel free to ask further questions!

8 0
3 years ago
Find the trigonometric integral. (Use C for the constant of integration.)
Olin [163]

Suppose we let u=\sin\theta+\cos\theta, so that \mathrm du=(\cos\theta-\sin\theta)\,\mathrm d\theta.

Also, recall the double angle identity for cosine:

\cos(2\theta)=\cos^2\theta-\sin^2\theta=(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)

So, we can rewrite and compute the integral using the substitution, as

\displaystyle\int\cos(2\theta)(\sin\theta+\cos\theta)^3\,\mathrm d\theta

=\displaystyle\int u\cdot u^3\,\mathrm du

=\displaystyle\int u^4\,\mathrm du

=\dfrac{u^5}5+C

=\boxed{\dfrac{(\cos\theta+\sin\theta)^5}5+C}

4 0
3 years ago
The length of a rectangle is 15 feet. The width is 8 feet. What is the perimeter of the rectangle? A. 46 feet B. 23 feet C. 38 f
lesya [120]
Hello There!

(15 x 2) + (8 x 2) = 46

Answer: A. 46 feet.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
7 0
3 years ago
Read 2 more answers
186:403 in simpleast form<br><br>​
natita [175]

Answer:

6:13

Step-by-step explanation:

both are divisible by 31

3 0
3 years ago
Who was born in California and makes use of symbolism, folklore, oral tradition, popular stories and songs within his novels?
VladimirAG [237]
The correct answer is John Steinbeck. He is famous for his depiction of Californian common folk lives and even won a Nobel prize for his depictions of it.
4 0
3 years ago
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