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3 years ago

Find the value of x. Then classify the triangle

Mathematics

1 answer:

vredina [299]3 years ago

5 0

So basically what you have to do is

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The total resistance R of two resistors connected in parallel circuit is given by 1/R = 1/R_1 + 1/R_2. Approximate the change in

Naily [24]

Answer:

a) Approximate the change in R is 0.5 ohm.

b) The actual change in R is 0.04 ohm.

Step-by-step explanation:

Given : The total resistance R of two resistors connected in parallel circuit is given by $\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

To find :

a) Approximate the change in R ?

b) Compute the actual change.

Solution :

a) Approximate the change in R

$R_1=12\ ohm$ and $R_2=10\ ohm$

$R_1$ is decreased from 12 ohms to 11 ohms.

i.e. $\triangle R_1=21-11=1\ ohm$

$R_2$ is increased from 10 ohms to 11 ohms.

i.e. $\triangle R_2=11-10=1\ ohm$

The change in R is given by,

$\frac{1}{\triangle R}=\frac{1}{\triangle R_1}+\frac{1}{\triangle R_2}$

$\frac{1}{\triangle R}=\frac{\triangle R_2+\triangle R_1}{(\triangle R_1)(\triangle R_2)}$

$\triangle R=\frac{(\triangle R_1)(\triangle R_2)}{\triangle R_2+\triangle R_1}$

$\triangle R=\frac{(1)(1)}{1+1}$

$\triangle R=\frac{1}{2}$

$\triangle R=0.5\ ohm$

b) The actual change in Resistance

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R}=\frac{1}{12}+\frac{1}{10}$

$R=\frac{10\times 12}{10+12}$

$R=\frac{120}{22}$

$R=5.46\ ohm$

When resistances are charged, $R_1=R_2=11$

$\frac{1}{R'}=\frac{1}{R_1}+\frac{1}{R_2}$

$\frac{1}{R'}=\frac{1}{11}+\frac{1}{11}$

$R'=\frac{11}{2}$

$R'=5.5\ ohm$

Change in resistance is given by,

$C=R'-R$

$C=5.5-5.46$

$C=0.04\ ohm$

3 0

3 years ago

Find the volume of a pyramid with a square base where the perimeter of the base is 18.4 cm in the height of the pyramid is 20.6

Igoryamba

Answer:

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.4\text{ cm}18.4 cm and the height of the pyramid is 20.6\text{ cm}20.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

7 0

3 years ago

Can someone please help on this one?

SIZIF [17.4K]

If you're looking just to enter the numbers from the first row but in the hundredths place

Category 1 will be .30
Category 2 will be .90

4 0

3 years ago

Which expression represents each mathematical phrase?

olganol [36]

Answer:

Step-by-step explanation:

add 12 and a number: 12 + c

subtract a number from 12: 12 - c

divide a number by 12: c : 12 or c/12

multiply 12 by a number: 12 · c = 12c

5 0

3 years ago

6d + 7 = 61 what does d equal?

zysi [14]

Answer:

i would reword this to 6x+7=61

Step-by-step explanation:

So.

move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative

61-7=54

then you divide the number and get your missing numbers

54/6=9

d=9

plug it in

6(9)+7=61

5 0

3 years ago

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