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diamong [38]
3 years ago
15

Using the formula 1/a + 1/b = 1/c , express: The variable b in terms of the variables a and c

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

Step-by-step explanation:

The given formula is expressed as

1/a + 1/b = 1/c

We want to express variable b in terms of the variables a and c. We would make variable b the subject of the formula.

Step 1

Subtracting 1/a from the left hand side of the equation and the right hand side of the equation, it becomes

1/a - 1/a + 1/b = 1/c - 1/a

1/b = 1/c - 1/a

1/b = (a - c)/ac

Taking the reciprocal of the left hand side of the equation and the right hand side of the equation, it becomes

b = ac/(a - c)

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Question 132 .. .. .. .. ..
Eddi Din [679]

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

<em>Add 80° to both sides</em>

13x°=260°

<em>Divide both sides by 13</em>

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°

4 0
3 years ago
Can you help me out and simplify?
Angelina_Jolie [31]

Answer:

 = 1/3  * sqrt(1/2)

Step-by-step explanation:

sqrt(1/18)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

sqrt(1/18)

sqrt(1)/sqrt(18)

1/sqrt(18)

We also know that sqrt(ab) = sqrt(a) sqrt(b)

1/sqrt(18) = 1/ sqrt(9)sqrt(2)

              = 1/(3sqrt(2))

                 = 1/3 * 1/ sqrt(2)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

               = 1/3  * sqrt(1/2)

5 0
4 years ago
Monica deposits ​$100 into a savings account that pays a simple interest rate of 3.6​%. Paul deposits ​$200 into a savings accou
Lady bird [3.3K]

Answer:

No, Paul will make more money in a year.

Step-by-step explanation:

Monica: 3.6% · 100 = $3.60 made in a year.

Paul: 2.2% · 200 = $4.4 made in a year.

6 0
2 years ago
A number is between 17 and 22. It has prime factors of 2​, and 5. What is the​ number?
prohojiy [21]

Answer:

20

Step-by-step explanation:

20 fits all of the requirements.

It is between 17 and 22.

2 and 5 are two of its factors.

I hope this helps!

pls ❤ and mark brainliest pls!

4 0
3 years ago
Read 2 more answers
In Triangle PQR, the measure of ZR=90°, the measure of ZP=51°, and QR = 38 feet. Find the length of PQ to the nearest tenth of a
miv72 [106K]

Answer:

Therefore Length of PQ is 48.9 foot.

Step-by-step explanation:

Given:

In Triangle PQR,

∠R = 90°

∠P = 51°

QR = 38 feet = side opposite to angle P

To Find:

PQ = ? = Hypotenuse

Solution:

In Right angle Triangle PQR Cosine Identity we get,

\sin P = \dfrac{\textrm{side opposite to angle P}}{Hypotenuse}\\

Substituting the values we get,

\sin 51 = \dfrac{QR}{PQ}=\dfrac{38}{PQ}\\\\0.7771=\dfrac{38}{PQ}\\\\PQ=\dfrac{38}{0.7771}=48.899\\\\\therefore PQ=48.9\ foot

Therefore Length of PQ is 48.9 foot.

5 0
3 years ago
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