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____ [38]
3 years ago
8

Given the formula 1 = prt, which shows an equation solving for r?

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

r = 1/pt.

Step-by-step explanation:

1 = prt

Divide both sides of the formula by pt:

`1 / pt = r.

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Use rhombus TQRS below for questions<br> what is the value of x?<br> what is the value of y?
sladkih [1.3K]

The value of x is 1.

The value of y is 4.

Solution:

Given TQRS is a rhombus.

<u>Property of rhombus: </u>

Diagonals bisect each other.

In diagonal TR

⇒ 3x + 2 = y + 1  

⇒ 3x – y = –1 – – – – (1)

In diagonal QS

⇒ x + 3 = y

⇒ x – y = –3 – – – – (2)

Solve (1) and (2) by subtracting

⇒ 3x – y – (x – y) = –1 – (–3)

⇒ 3x – y – x + y = –1 + 3

⇒ 2x = 2

⇒ x = 1

Substitute x = 1 in equation (2), we get

⇒ 1 – y = –3

⇒ –y = –3 – 1

⇒ –y = –4

⇒ y = 4

The value of x is 1.

The value of y is 4.

6 0
3 years ago
Help Pls if you want!!!!
Tom [10]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Why 1+1+1+1+...+1 is not geometric sequence
Olegator [25]
That sequence is not geometric or arithmetic
it is not changing or doing anything it is just remaining the same.

it would be geometric if it was:

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4 0
3 years ago
A right rectangular prism has these dimensions:
ki77a [65]
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

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5 0
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Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)  

\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

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Hence, the explicit formula is a(n) = 15(n – 10).

7 0
3 years ago
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