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3 years ago

What is 76.3 rounded to the nearest whole number

1 answer:

6 0

76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.

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The sum of the circumference of a circle and the perimeter of a square is 24. Find the dimensions of the circle and square that

lyudmila [28]

Answer:

The radius of the circle is $r=1.68\ units$

The length of the square is $x=3.36\ units$

Step-by-step explanation:

we know that

The circumference of a circle is equal to $C=2\pi r$

The perimeter of the square is equal to $P=4x$

$24=2\pi r+4x$

Simplify

$12=\pi r+2x$

$x=(12-\pi r)/2$ -----> equation A

The area of a circle is equal to $A=\pi r^{2}$

The area of a square is $A=x^{2}$

The total area is equal to

$At=\pi r^{2}+x^{2}$ -----> equation B

substitute equation A in equation B

$At=\pi r^{2}+[(12-\pi r)/2]^{2}$

This is a vertical parabola open upward

The vertex is the minimum

The x-coordinate of the vertex is the radius of the circle that produce a minimum area

The y-coordinate of the vertex is the minimum area

Solve by graphing

The vertex is the point (1.68, 20.164)

see the attached figure

therefore

The radius of the circle is

$r=1.68\ units$

Find the value of x

$x=(12-\pi r)/2$

assume

$\pi =3.14$

$x=(12-(3.14)*(1.68))/2$

$x=3.36\ units$

8 0

3 years ago

1,840 mL = ____ L WHAT DOES L EQUAL PLZ HELP!!!

sweet-ann [11.9K]

It equals 1.84 liters

6 0

3 years ago

Read 2 more answers

What is 4²(4²)? 2. 5⁴(5)÷2¹? 3. (5+3)²? Solve the following expressions

Nat2105 [25]

Answer:

256, 3125/2, 64

Step-by-step explanation:

4^2(4^2)=16(16)=256

5^4(5)/2^1=625(5)/2=3125/2

(5+3)^2=8^2=8*8=64

7 0

3 years ago

Expand and simplify (2x+5y) (x-3y)

Dmitry [639]

Should be simple:

Let's take this one at a time.

2x(x-3y)

You'd get:
$2x^2-3xy$
for the first one.

2nd one:
5y(x-3y)
you'd get:
$+5xy-3y^2$

Put them both together:
$2x^2-3xy+5xy-3y^2$

Combine like terms.

Your Answer:
$2x^2+2xy-3y^2$

3 0

3 years ago

Unit 5 Test

8090 [49]

Answer:

is 23,13 usjebiddje

Step-by-step explanation:

jsjsjebjeh3he

4 0

3 years ago