2 years ago

Explain who I do this

Mathematics

1 answer:

Nataliya [291]2 years ago

5 0

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Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the

Lynna [10]

Answer:

13.8

Step-by-step explanation:

His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.

Dive = platform + under the surface

Dive = 10 + 3.8

Dive = 13.8

4 0

2 years ago

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Ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest

aleksandr82 [10.1K]

Answer:D

Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.

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2 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

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1 year ago

A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?

makkiz [27]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

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2 years ago

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Which of these is a binomial? O A. x + 2y2 - 7 O B. ab O C. 5xy O D. 2x3 - 7y3

Lemur [1.5K]

Answer:

Step-by-step explanation:

2 terms

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2 years ago