MATHEMATICS MIDDLE SCHOOL

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. A.15.7 square feet

B. 19.6 square feet

C. 42.8 square feet

D. 78.6 square feet

Answers

Answer 1

Answer: Area of a circle is πr^2.

From this, we can calculate
π*2.5^2
= π*6.25
= 19.625
= 19.6

Answer 2

Answer:

Answer:

I did the test the answer is 19.6 square feet

Step-by-step explanation:

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Given that 6x = 7y, find the ratio x:y.

Answers

$6x=7y\n x=(7)/(6)y\n (x)/(y)=(7)/(6)$

$6x=7y\ \ \ |both\ sides\ divided\ by\ (6y)\n\n(6x)/(6y)=(7y)/(6y)\n\n(x)/(y)=(7)/(6)\n\nAnswer:x:y=7:6$

Are some integers whole numbers?

Answers

Yes, all whole numbers are integers, no matter negative or positive.

yes weather it be negative or positive they're both whole numbers.

Please help i have know idea what to do please help and show work so i can understand thank you!1.) k+3/4k-2 * (12k^2-3)
2.) x^2-16/6x * 7x/x+5
3.) q+5/2 * 4q/q+4
4.)y^2-9/-2y * -5y/y+3
5.)(8x^2-20x+15) divided by (2x-3)
6.)(8x^3-30+21) divided by (4x-6)
7.)(-10m^9-4m-12m^6) divided by 2m^4

Answers

1. $(k + 3)/(4k - 2)(12k^(2) - 3})$
$(k + 3)/(2(2k) - 2(1))(3(4k^(2)) - 3(1))$
$(k + 3)/(2(2k - 1))(3(4k^(2) - 1))$
$(k + 2)/(2(2k - 1))(3(4k^(2) + 2k - 2k - 1))$
$(k + 3)/(2(2k - 1))(3(2k(2k) + 2k(1) - 1(2k) - 1(1))$
$(k + 3)/(2(2k - 1))(3(2k + 1) - 1(2k + 1))$
$(k + 3)/(2(2k - 1))(3(2k - 1)(2k + 1))$
$(3(k + 3)(2k + 1))/(2)$

2. $((x^(2) - 16)/(6x))((7x)/(x + 5))$
$((x^(2) + 4x - 4x - 16)/(6))((7)/(x + 5))$
$((x(x) + x(4) - 4(x) - 4(4))/(6))((7)/(x + 5))$
$((x(x + 4) - 4(x + 4))/(6))((7)/(x + 5))$
$(((x - 4)(x + 4))/(6))((7)/(x + 5))$
$(7(x - 4)(x + 4))/(6(x + 5))$

3. $((q + 5)/(2))((4q)/(q + 4))$
$((q + 5)/(1))((2q)/(q + 4))$
$(2q(q + 5))/(q + 4)$

4. $((y^(2) - 9)/(-2y))((-5y)/(y + 3))$
$((y^(2) + 3y - 3y - 9)/(2))((5)/(y + 3))$
$((y(y) + y(3) - 3(y) - 3(3))/(2))((5)/(y + 3))$
$((y(y + 3) - 3(y + 3))/(2))((5)/(y + 3))$
$(((y - 3)(y + 3))/(2))((5)/(y + 3))$
$((y - 3)/(2))((5)/(1))$
$(5(y - 3))/(2)$

5. $(8x^(2) - 20x + 15)/(2x - 3)$

6. $(8x^(3) - 30 + 21)/(4x - 6)$
$(8x^(3) - 9)/(2(2x) - 2(3))$
$(8x^(3) - 9)/(2(2x - 3))$

7. $(-10m^(9) - 12m^(6) - 4m)/(2m^(4))$
$(-10m^(9))/(2m^(4)) - (12m^(6))/(2m^(4)) - (4m)/(2m^(4))$
$-5m^(5) - 6m^(2) - (2)/(m^(3))$

A room is 5m by 3m and has a height of 3.5m. Find the distance from a comer point on the floor to the opposite comer of the ceiling.

Answers

Answer:

Approximately 6.8m

Step-by-step explanation:

We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:

$5^(2)+3^(2)=c^(2)$

And now we can solve for c...

$34 = c^(2)$

$√(34)=\sqrt{c^(2)}$

c = 5.831m

Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:

$5.831^(2) + 3.5^(2)=c^(2)$

And now we can solve for c again...

$46.25=c^(2)\n√(46.25)=√(c^2)$

c = 6.8m

What is the length of leg s of the triangle below?

Answers

Hey there!

There are a few ways to do this, but I'll give you the one I can explain best.

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

Your answer is 3, or option D.

Hope this helps!

The length of leg s in the right angled triangle given is 3.

What is the triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which of its angle measure 90 degrees.

Here, we have,

This is a right triangle. We know this because one of the angles is 90º.

The lengths of the sides of the right triangle can be represented by the following equation:

a² + b² = c²

We already have the values for a and c, c being the hypotenuse.

3² + b² = (√18)²

Let's square a and c.

9 + b² = 18

Subtract 9 from each side of the equation.

b² = 9

To find the final value for b, find the square root of each side of the equation.

b = 3

The answer is 3, or option D.

To learn more about triangles, please check: brainly.com/question/22949981

#SPJ7

The stems in a stem and leaf plot are the ones digits true or false

Answers

it is a false statement

Answer:

true

Step-by-step explanation:

A stem represents the leading digit in a stem-and-leaf plot.

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