MATHEMATICS MIDDLE SCHOOL

A 4 cm × 6 cm 4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 11 cm 11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.

Answers

Answer 1

Answer:

Answer:

Area of the rectangle: 24 cm²
Area of the circle: 380.13 cm²
Area of between the circle and the rectangle: 356.13 cm²

Explanation:

The question describes a rectangle of dimensions 4 cm × 6 cm inscribed in a circle with radius 11 cm.

You can find:

The area of the rectangle
The area of the circle
The area between the rectangle and the circle.

1. Area of the rectangle:

$Area=length* width=4cm* 6cm=24cm^2$

2. Area of the circle:

$Area=\pi* radius^2=\pi * (11cm)^2\approx 380.13cm^2$

3. Area between the rectangle of the circle:

This is the area of the circle that does not belong to (or is outside of) the area of the rectangle.

$Area=\text{area of the circle - area of the rectangle}\n \n Area=380.13cm^2-24cm^2=356.13cm^2$

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Solve using the substitution method Y+2x=7
14-4x=2y

A the solution is (1,5)
B the solution is (21,0)
C there an infinite number of solutions
D there is no solution

Answers

Since the value on both sides are the same, hence there are infinite number of solution for the system of equation

System of equations

Given the system of equations expressed as:

Y+2x=7

14-4x=2y

Using the substitution method.

From equation 1, y = 7 - 2x

Substitute into equation 2

14-4x = 2(7 - 2x)

Expand

14 - 4x = 14 - 4x

0x = 0

Since the value on both sides are the same, hence there are infinite number of solution for the system of equation

Learn more on system of equation here: brainly.com/question/14323743

#SPJ2

14-4x=2y divide 2 to both sides
VVVVV
7-2x=y you will need this on the next step
-----------------------------------------------------
y+2x=7
y=7-2x
(7-2x)+2x=7 -------> 7-2x+2x=7
7=7
The answer is C.

Use vertical multiplication to find the product of: $x ^(3) + 2x + 3 * x ^(3) - x + 1$

Answers

Answer:

$x^6+x^4+4x^3-2x^2-x+3$

Step-by-step explanation:

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

First step multiply your terms in your first expression just to the 1 in the second expression like so:

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

$x^3+2x+3$ Anything times 1 is that anything.

That is, $(x^3+2x+3) \cdot 1=x^3+2x+3$ .

Now we are going to take the top expression and multiply it to the -x in the second expression. $-x(x^3+2x+3)=-x^4-2x^2-3x$ . We are going to put this product right under our previous product.

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

$x^3+2x+3$

$-x^4-2x^2-3x$

We still have one more multiplication but before we do that I'm going to put some 0 place holders in and get my like terms lined up for the later addition:

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

$0x^4+x^3+0x^2+2x+3$

$-x^4+0x^3-2x^2-3x+0$

Now for the last multiplication, we are going to take the top expression and multiply it to x^3 giving us $x^3(x^3+2x+3)=x^6+2x^4+3x^3$ . (I'm going to put this product underneath our other 2 products):

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

$0x^4+x^3+0x^2+2x+3$

$-x^4+0x^3-2x^2-3x+0$

$x^6+2x^4+3x^3$

I'm going to again insert some zero placeholders to help me line up my like terms for the addition.

$x^3+2x+3$

$*(x^3-x+1)$

---------------------------------

$0x^6+0x^4+x^3+0x^2+2x+3$

$0x^6-x^4+0x^3-2x^2-3x+0$

$x^6+2x^4+3x^3+0x^2+0x+0$

----------------------------------------------------Adding the three products!

$x^6+x^4+4x^3-2x^2-x+3$

in a circle , the length of an arc intercepted by a central angle is 12mm and the radius of the circle is 8mm. what is the measure, in radians , of the angle . A. 1.5 B. 95 C. 20 D 4.4

Answers

1) we calculate the circumference of this circle.
circumference of a circle=2πr
data:
r=8 mm

circumference=2(8 mm)π=16π mm

2)we calculate the measure, in radians of the angle.
We know that:
circumference of a circle=2π radians
therefore:
16π mm=2π radians.

16 π mm--------------------------2π radians
12 mm----------------------------- x

x=(12 mm * 2π radians) / 16π mm=1.5 radians.

Answer: A. 1.5

Answer:

Its 1.5!

Step-by-step explanation:

Lexile test lol

3x-x-5=2(x+2)-9 what is the answer to x

Answers

Answer:

(-infinity, infinity) or all real numbers

Step-by-step explanation:

Bargain Bin sells jumbo size packages of hamburger patties and hamburger buns. The patties come in packages of 18 and the hamburger buns come in packages of 24. What is least amount of hamburgers you will have if you buy enough packages to make sure you do not have any leftovers?

Answers

72 hamburgers is the least amount that you need to buy so that no hamburgers are leftover.
18*4=72
24*3=72

What is the best estimate for the sum of 5/12 +2/5

Answers

5/12 is now 25/60 and 2/5 is 24/60 so the answer is 49/60

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