Circle A and Circle B are congruent circles. Which statement must be true?

Answers

Answer 1

Answer:

Answer:

There is not enough information given to determine which statement must be true. Additional information about the relationship between the two circles is needed

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A merchant buys an old carpet for $25.00. He spends $15.00 to have it restored to goodcondition and then sells the rug for $50.00. What is the percent proﬁt on his total
investment?

Answers

The percent proﬁt on his total 20%.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Cost of old carpet =$25

He spends $15.00 to have it restored

So, he spend= 25+ 15 = 40

He sells it at = $50

Profit= 50-40 = 10

Profit %= P/ CP * 100

Profit % = 10/ 25 * 100

Profit %= 25% on CP

and, P% on selling price= 10/50* 100 = 20%

Learn more about profit percent here:

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$25-how much it cost
+$15- restored
Total of $35 spend
$50 earned
- 35 what he spend
Total of 15$
To get the percent u divide 35 by 50=0.7 x100
The profit is 70%

HELP!! express the following decimal as a percent. 1.544a) 154.4%
b) 0.1544%
c) 1,544%
d) 15.44%

Answers

To convert 1.544 to percent multiply by 100

1.544 × 100 = 154.4 %

Simply multiply by 100 to convert, giving a result of 154.4%, or A.

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean?

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Answer:

See image

Step-by-step explanation:

Plato

4c^2-8c-1=0 complete the square round to nearest hundredth

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move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2

c=2.12 or -0.12

Write an algebraic equation for the following. The product of three and a squared number is twice the sum of the number and four.

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3*x^2 = 2*(x+4)

x is the unknown number

Determine the equation of a circle having a diameter with endpoints at (12,-14) and (2,4)

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$The \ equation \ of \ a \ circle \ with \ centre \ (a,b) \ and \ radius \$

$(12,-14) , \ \ \ (2,4)\nSince \ the \ center \ of \ the \ circle \ is \ the \ midpoint \ of \ the \ line \ segment \n connecting \ two \ endpoints \ of \ a \ diameter \n\nMidpoint \ Formula \n\n(a,b)=((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))=((12+2)/(2),(-14+4)/(2))=((14)/(2),(-10)/(2))=(7,-5)$

$The \ radius \ is \ the \ distance \ from \ the \ center \ to \ some \ point \ on \ the \ circle.\n The \ distance \ from \ (7,-5) \ to \ (12, -14) \ is: \n \n r= \sqrt{(x_(2)-x_(1))^2 +(y_(2)-y_(1))^2}\n\nr= √((12-7)^2 +(-14+5)^2)=√(5^2+(-9)^2)=√(25+81)=√(106)\n\n(x-7)^2+(y-(-5))^2= (√(106))^2 \n \n(x-7)^2+(y+5)^2=106$

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