Determine which point from the specified that satisfies each system of equations

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

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Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

a) Each person would receive 1/6 of the cake

b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?

We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.

Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.

2 1/2 = 15 x

5/2 = 15x

5 = 2 * 15x

x = 5/2 * 15

x = 1/6

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Answer:

accounts payable

Step-by-step explanation:

Because amount of money you owe

Answer:

17 months i think

Step-by-step explanation:

1867$-320$=1547

1547:91=17

The number of months Erica will be paying for the bike, if She made a $320 down payment and makes monthly payments of $91 is 17 months.

A formula known as an equation uses the equals sign to denote the equality of two expressions. It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

The down payment = $320,

The amount of monthly installment = $91,

The total cost = $1867

Calculate the remaining amount after the down payment as shown below,

The remaining amount = The total cost - The down payment

The remaining amount = 1867 - 320

The remaining amount = $1547

Calculate the number of months as shown below,

The number of months  = The remaining amount  / The amount of monthly installment

The number of months  = 1547 / 91

The number of months  = 17 months

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1. The best geometric model for the rail road is C. Line

2. Two straight lines cannot go through any two points. It is false.

3. The length of the cake is A. 5.5 inches.

4. The vertical angles are AHC and GHE.

The best geometric model for a set of railroad tracks would likely be a line, as it represents the linear path that the tracks follow. A point would not be appropriate as it does not represent the length or direction of the tracks, and a plane would not be necessary as the tracks are linear and exist in a three-dimensional space.

It should be noted that two straight lines cannot go through any two points. Only one line can. The length of the cake will be:

= 6.0 - 0.5

= 5.5

It should be noted that vertical angles are equal. This was Illustrated as AHC and GHE.

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Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .

It tells about how  dispersed the data is is indicated by the standard deviation. It expresses the deviation of each observed variable from the mean. Any distribution will have roughly 95% of its values within two standard deviations of the mean.

Here,

We know population SD= Σ(xi-mu)2/n where mu is the population mean and n is the number of observation.

Here

we have n=7 and mu can be taken as x- =310.142

Standard deviation = SD=Σ(xi-mu)2/n

=>(Σxi2/n)-x-2

=>(704883/7)-(310.14)2=67.15=σx

Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .

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Answer:

9 days

Step-by-step explanation:

We know

Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.

We take

214 / 23 = 9 days

So, she can drink in 9 days

Answer:

3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

(using proportion method)

40 x 9 = 360

100 x C = 100c

360 / 100c = 3.6

Answer:

He ate 4/9 of the pan of brownies.

Step-by-step explanation:

So the question might seem hard but when you read it, it said that there were 2/3 of brownies left and he ate 2/3 of that 2/3 in that pan so to figure 2/3 of 2/3 I divided 2/3 by 3 which is 2/9, 2/9 is 1/3 of 2/3 to figure out 2/3 of 2/3 you need to add by itself which you get 4/9.

Answer:

9 7/8

Step-by-step explanation:

Answer:

C?

Step-by-step explanation:

I think it is C but I am not sure.

The required perimeter of the new rectangle is 66 inches.

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides.

Therefore, a particular case of a square is a rectangle.

To put it another way, a rectangle can also be a square (when all sides to are equal).

Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.

To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.

So, a perimeter equals 2(l+b).

50 is the circumference and 17 is the length here.

Suppose the breadth is x.

50 = 2(17+x)

50 = (2*17)+(2*x)

50 = 34 + 2x

50 - 34 = 2x

16 = 2x

16/2 = x

8 = x

The first triangle's width is eight inches.

We know that the length of the other rectangle is 17.

And that the width is two times that of the first triangle.

Length = 17, width = 2*8 = 16, etc.

For the border:

p = 2(l+b)

p =  2(17+16)

p =  (2*17)+(2*16)

p =   34+32

p  =   66

Therefore, the required perimeter of the new rectangle is 66 inches.

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Complete question:

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

Answer: 140^3

Step-by-step explanation:

The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.

The perimeter of ΔABE is 70 units.

The  perimeter of ΔCDF​ is 35 units.

A triangle is a polygon with threes sides. The sum of angles in a triangle is 180 degrees.

Therefore, the perimeter of a triangle is the sum of the whole sides.

Triangle mid point theorem is used to find the perimeter of the triangles.

It states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Let's find the perimeter of triangle ABE.

Hence,

perimeter of triangle ABE = AB + BE + AE

BE = 24

AE = 13 + 13 = 26

AB = 10 + 10 = 20

perimeter of triangle ABE = 24 + 26 + 20 = 70 units

perimeter of triangle CDF = DF + CD + CF

perimeter of triangle CDF = 10 + 13 + 12

perimeter of triangle CDF = 35 units

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Answer:

1  7/15 or 22/15

Step-by-step explanation:

2/3 = 10/15

4/5 = 12/15

Answer:

2/15

Step-by-step explanation:

Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2  = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

Answer:

1170

Step-by-step explanation:P_0=860

P

0

​

=860

The initial population

t=4

t=4

Time elapsed

d=9

d=9

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=860\cdot 2^\frac{4}{9}

P

t

​

=860⋅2

9

4

​

Plug in

P_t=1170.2794\approx1170

P

t

​

=1170.2794≈1170

Answer:

65

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

1. Opposite sides  and angles are congruent .

2. Opposite angels are congruent  

3. Consecutive angles are supplementary  

4. The diagonals bisect each other

one side measures = 50 + x

the opposite side measures 50 + x

and the 2 other sides measure x

sum of angles in a parallelogram = 360

50 + x + 50 + x + x + x = 360

100 + 4x = 360

4x = 260

x = 65

Answer:

I believe its 4

Step-by-step explanation:

The value of x, given the angles next to the triangle, can be found to be 38 °

To find the value of x, you first need to find the value of the other angles in the triangle.

Angles on a horizontal line add up to 180 degrees so the angle to the bottom left is:

= 180 - 134

= 46 °

The angle to the bottom right is:

= 180 - 84

= 96 °

The angles in a triangle add up to 180 ° so the value of x would be:

= 180 - 46 - 96

= 38 °

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The area of the window that lets in the most light will be the one that causes the window to transmit the most light overall.

To find the proportions of the window that will admit the lightest, we need to maximize the total area of the window while keeping the perimeter fixed. The total area of the window is the sum of the area of the rectangle and the area of the semicircle. The area of the rectangle is the product of its length and width, and the area of the semicircle is half the product of its radius and the area of a full circle with the same radius.

Since the perimeter is fixed, the length and width of the rectangle are also fixed. The radius of the semicircle can be found using the perimeter and the length and width of the rectangle.

Once we have the radius of the semicircle, we can find the area of the rectangle, the area of the semicircle, and the total area of the window. Since the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does, we will have to multiply the area of the semicircle by 0.5 to find the total amount of light transmitted by it.

Finally, we will have to compare the total amount of light transmitted by the window for different values of the length and width of the rectangle. The proportion of the window that admits the most light will be the one that results in the maximum total amount of light transmitted by the window.

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Answer: (-4, -6)(9, 2):

y=8/13x - 46/13 (Point slope form: y + 6 = 8/13 *(x+4)

Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

Answer: 25cm²

Step-by-step explanation:

Ok, so I haven't actually learnt this in school so I'm going to give it my best shot. (Don't be surprised if I get this wrong though.)

So, Quadrilaterals A and B are similar. They have the same angles. Therefore, (I'm thinking that) Quadrilateral B is just a scaled-up version of Quadrilateral A.

Here comes my theoretical part:

If one side of Quadrilateral B is 5 times longer than the same side of Quadrilateral A...

(Quadrilateral A is 3cm, and Quadrilateral B is 15cm).

... then the area of the entire Quadrilateral B should just be 5 times bigger than Quadrilateral A.

Therefore, (I'm guessing), Quadrilateral B has an area of 25cm²

Answer:

16 shirts.

Step-by-step explanation:

You can make a system of equations

x + y = 26

5.50x + 12y = 208

You can solve this in many ways, however  chose to graph using desmos. I got that x = 16, and y = 10.

Distance between first base to home plate and from home plate to third plate are equal.

Given : It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by the third base to home plate ,and from home plate to third base.

The given situation and distance between first base to home plate and from home plate to third plate are equal.

On Converting the given situation into a geometry problem. So we name the require points.

Let A be the home plate,

B is first base,

C is the second base,

And D is the third base.

Now, we can present a geometrical proof:

Statement and their reasons

(1) BC = CD - ( Given )

(2) AC = AC - ( Reflexive Property )

(3) Δ ACD = Δ ACB -  ( SAS Congruence - side angle side)

(4) AD = AB - ( CPCTC - Congruent Parts of Congruent Triangles are Congruent )

Therefore, the gap from 1st base to home plate, and from home plate to 3rd plate are equal.

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Answer:

3.29

Step-by-step explanation:

Answer:

I need the width in order to solve it. . .

Formula - To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

Was there a width?