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3 years ago

A century year such as 1900, 2000, or 2100 is a leap year only if it is a multiple of 400

1 answer:

6 0

If this is a true or false question, then the answer is true. This is because we technically have 365.2425 days in a year and if you add an extra day every 4 years, you get an average of 365.25. It is A LOT of math, but even though there was an extra day in 1896 and 1904, there was no leap year in 1900 because of the 400 multiple rule.

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e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)

Tema [17]

Answer:

The rule of translation : $(x,y)\rightarrow (x+7,y-4)$

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

$-5-2=-7$

Difference between y-coordinates:

$-5-(-9)=-5+9=4$

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

$(x,y)\rightarrow (x+7,y-4)$

The vertices of image are

$R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)$

$S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)$

$T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)$

$U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)$

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0

3 years ago

Find the measure of KM¯¯¯¯¯¯¯¯¯¯.

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

(whole secant) x (external part) = (whole secant) x (external part)

( 7+x+2) * 7 = ( 6+8) * 6

Combine like terms

(9+x) *7 = 14*6

Distribute

63 +7x = 84

Subtract 63

63 +7x -63 = 84-63

7x =21

Divide by 7

7x/7 = 21/7

x = 3

KM = x+2+7

= 3+2+7

=12

6 0

2 years ago

Read 2 more answers

The street fair charges an admission price of $5 per person. In the first hour, one gate admitted 10 people. In the second hour,

nasty-shy [4]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Expand the binomial (a+2)^4

dimaraw [331]

Answer:

Step-by-step explanation:

4 0

3 years ago

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Help help help help me pleaseeeeeeeee

kobusy [5.1K]

The ticket price which will maximize the student's council is: C. $3.10.

<h3>What is price?</h3>

Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.

Based on the information provided about Valley High School student council, we can logically deduce the following data:

Total number of students = 420 students.

Lowest ticket price = $2.00.

Increase in ticket price = $0.20.

Attendance = 20 fewer students

<h3>How to determine the ticket price?</h3>

Mathematically, the equation which model the profit is given by:

Profit = price × number of tickets sold

P(x) = (2 + 0.2x)(420 - 20x)

P(x) = 840 + 84x - 40x - 4x²

P(x) = -4x² + 44x + 840.

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -44/2(-4)

Xmax = -44/-8.

Xmax = 5.5

Ticket price for maximum profit is given by:

Ticket price = 2 + 0.2x

Ticket price = 2 + 0.2(5.5)

Ticket price = $3.10.

Read more on maximized profit here: brainly.com/question/13800671

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8 0

2 years ago