MATHEMATICS MIDDLE SCHOOL

circle P has radius 10cm. two perpendicular radii are drawn, and a smaller circle is drawn tangent to both radii and tha larger circle.  What is the radius of the smaller circle?

Answers

Answer 1
Answer: 1/2 of the larger circle
Answer 2
Answer:

Answer: 1/2 of the larger circle

Step-by-step explanation:

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Which function is equivalent to y=x2-10x+9? A: Y=(x+5)^2+16B: Y=(x-5)^2-16C: Y=(x-5)^2+16D: Y=(x+5)^2-16

Kayla's school is selling tickets to a play. On the first day of ticket sales, the school sold 5 senior citizen tickets and 3 child tickets for a total of $69. The school took in $73 on the second day by selling 1 senior citizen ticket and 8 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer:

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

Step-by-step explanation:

Let price of senior ticket be "s", and

price of child ticket be "c"

5 senior ticket and 3 child ticket cost 69, so we can write:

5s+3c=69

Also, 1 senior and 8 child tickets cost 73, thus we can write:

s+8c=73

Or

s=73-8c

We can put this into 1st equation and get an equation in terms of "c" and solve for c first:

5s+3c=69\n5(73-8c)+3c=69\n365-40c+3c=69\n296=37c\nc=8

Thus, c = 8

Now,

s = 73 - 8c

s = 73 - 8(8)

s = 73 - 64

s = 9

So,

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

Abhasra had some candy to give to her 4 children. She first took 9 piecesfor herself and then evenly divided the rest
among her children. Each child received
4 pieces. With how many pieces did
she start?

Answers

Answer:

25 pieces

Step-by-step explanation:

She took 9 pieces for herself, which means that we already know that she had at least 9 pieces. She has 4 children and gave them each four, so you times 4 children times 4 pieces each.

That gives us 16. 16=9=25

So 25 pieces. Hope it helps!

Morgan and Leigh spend a certain amount of money from their money box each month to buy plants. The table shows the relationship between the amount of money (y) remaining in Morgan's money box and the number of months (x):

Function 1
Number of Months
(x) Amount Remaining (in dollars)
(y)
1 50
2 40
3 30
4 20


The equation shows the relationship between the amount of money (y) remaining in Leigh's money box and the number of months (x):

Function 2:
y = −9x + 60

Which statement explains which function shows a greater rate of change?
Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $9 each month.
Function 1 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
Function 2 shows a greater rate of change, because Morgan spends $10 each month and Leigh spends $60 each month.
Function 2 shows a greater rate of change, because Morgan spends $50 each month and Leigh spends −$9 each month.

Answers

the change for 1st function is -10 and rate of change of 2nd function is -9. Use the slope formula to find the  answer of 1st function.

Answer:

The first one since after each x interval the y is decreasing by 10 and in the second equation after each x interval the y is decreasing by 9

The first representation is the answer: Morgan

12% of what number is 48

Answers

You would change 12% into a decimal, which is .12 then multiply it by 48. The answer is 5.76

what is the relationship between the coordinates of a point and the coordinates of its reflection across each axis?

Answers

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite. The reflection of the point (x, y) across the y-axis is the point (-x, y). When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places.

Find the area of the semicircle.Either enter an exact answer in terms of or use 3.14 for
and enter your answer as a decimal.
units

Answers

Answer:

14.13

Step-by-step explanation:

The formula for area of a circle is πr^2.

This is a semicircle which is half a circle, so the formula for area of a semicircle is (πr^2)/2

The diameter of the circle is 6, which means that the radius is 3. Since the radius of a circle is always half the diameter. (1/2*6=3)

This means we can plug the known values into our formula.

π(3)^2/2

Simplify.

9π/2

Now we plug 3.14 in for π.

9(3.14)/2

28.26/2

14.13
So we know that the area of a full circle is pi multiplied by radius squared
But for a semicircle the area is pi multiplied by radius squared divided by two
So, we do 3.14*3^2/2
Which is 14.13
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