MATHEMATICS HIGH SCHOOL

The voltage V required for a circuit is given by $v=√(PR)$ , where P is the power in watts and R is the resistance in ohms.How many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb if the resistance of both is 110 ohms? Round answer to the nearest tenth.

Answers

Answer 1

Answer:

Answer:

✓11000-✓8250=~ 14 volts

Step-by-step explanation:

the answer is the difference by 100-watt light bulb to a 75 light bulb.

so, all you have to do is this:

v1-v2--------> ✓PR-✓P2R2

so you'll have ✓100.110-✓75.110= ✓11000-✓8250= 14

I hope it helps

Answer 2

Answer:

Final answer:

By using the formula v=√PR, it is calculated that approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, both having a resistance of 110 ohms.

Explanation:

To find out how many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb, the amount of voltage required for each bulb is to be calculated using the given formula v= √PR, and then subtracted to find the difference.

For voltage required to light a 100-watt bulb:

v100= √(100W * 110 ohms) = 105.4 volts

For 75-watt bulb:

v75 = √(75W * 110 ohms) = 91.6 volts

The difference in voltage:

v100 - v75 = 105.4V - 91.6V = 13.8V

So, approximately 13.8 more volts are needed to light a 100-watt bulb than a 75-watt bulb, when rounded to the nearest tenth.

Learn more about Voltage calculation here:

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The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.

Answers

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\n given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \nis \; 61cm \; more \; than \; the \; length\n\nWidth \; = \; 61+x\n\nStatement \; 2: \; The \; perimeter \; is \; 406cm\n\nPerimeter=2(Length+Width)\nPerimeter =2(x+61+x)\n\nSo \; the \; mathematical \; equation \; would \; be \n 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \n undoing \; whatever \; is \; done \; x.\n\n2(x+61+x)=406\nGroup \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\n\n2(2x+61)=406\nDistribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\n\n4x+122=406\nSubtract \; 122 \; on \; both \; sides\n\n4x+122-122=406-122\nSimplify \; on \; both \; sides\n\n4x=284\nDivide \; on \; both \; sides\n\n(4x)/(4)=(284)/(4)\nSimplify \; fractions \; on \; both \; sides\n\nx=71$

$Conclusion:\nLength=x=71cm\nSubstituting \; 71 \; for \; x \; and \; find \; Width \; value.\nWidth=61+x=71+61=132cm\n\nLength \; is \; 71 cm \; and \; Width \; is 132cm$

Final answer:

The length of the rectangle is 71 centimeters and the width is 132 centimeters.

Explanation:

To find the length and width of the rectangle, we can set up a system of equations. Let's denote the length of the rectangle as L and the width as W. We know that W = L + 61. The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we have 406 = 2L + 2(L + 61). Simplifying this equation, we get 406 = 4L + 122. Subtracting 122 from both sides, we obtain 284 = 4L. Dividing both sides by 4, we get L = 71. Finally, substituting the value of L into the equation W = L + 61, we find W = 71 + 61 = 132. Therefore, the length of the rectangle measures 71 centimeters and the width measures 132 centimeters.

Learn more about Rectangle dimensions here:

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Every week, Jeffrey cleans out the wishing well at the park. How much money did he find this week? Use these clues to figure out how many pennies, nickels, and dimes he found. Write your answer on the corresponding basket CLUES He finds at least one penny, one nickel, and one dime. He has a total of 14 coins. The coins add up to 56 cents. He has more nickels than dimes. He has the same number of pennies as nickels. Questions How many Pennies? How many Nickels? How many Dimes?

Answers

Answer:

wasdwasfasffgj7yuf

Step-by-step explanation:

Answer:is there a picture

Step-by-step explanation:

A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width?

Answers

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

w= 10

Hopethis helps!

Factor the expression 15x-^2-10x-5

Answers

$15x^2-10x-5=0\n \n a=15, \ \ b=-10 \ \ c=-5\n \n \Delta = b^(2)-4ac = (-10)^(2)-4* 15* (-5)= 100+300=400\n \nx_(1)=(-b-√(\Delta ))/(2a) =(10- √(400))/(2*15)=(10-20)/(30)= (-10)/(30)=-(1)/(3)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ √(400))/(2*15)=(10+20)/(30)= (30)/(30)=1 \n \n \ 15x^2-10x-5=15(x+ (1)/(3))(x-1)= (15x+ (1)/(3)*15)(x-1)=(15x+5)(x-1)\n \n Answer :15x^2-10x-5 =(15x+5)(x-1)$