a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for Pie


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

Answer:

-2

Step-by-step explanation:

5n+3= -10

5n = -13

n = -13/5

= -2.6

question is integer

so answer is -2

The smallest integer n is -2

An integer is colloquially defined as a number that can be written without a fractional component.

In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality.

Given,

5n + 3 > -10

Consider

5n + 3 = -10

5n = -10-3

5n = -13

n = [tex]\frac{-13}{5} =-2.6[/tex]

Therefore the smallest integer n≅ -2

Hence, the smallest integer n is -2

Learn more about Integer and Linear inequality here

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#SPJ2

Answer:

222

Step-by-step explanation:

for sure 100%

gurantee at your own risk

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 48 by 6 to find the scale factor.

48 divided by 6 is 8.

Now, we divide 56 by 8 to find x.

56 divided by 8 is 7.

x is equal to 7.

#teamtrees #PAW (Plant And Water)

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

2. 8x

3. (12/2)*(10/2)

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

there is no y intercept

Answer:

Equation: 35.60 = 2.60 + 3x

It was 11 miles

Step-by-step explanation:

35.60 = 2.60 + 3x

3x = 33

x = 11

The linear function for the fare is:

[tex]F(x) = 2.6 + 3x[/tex]

Solving the equation, it is found that the taxi ride was of 11 miles.

A linear function for a cost considering a distance of x miles has the following format:

[tex]F(x) = F(0) + ax[/tex]

In which

In this problem:

The function is:

[tex]F(x) = 2.6 + 3x[/tex]

Fare of $35.60, thus [tex]F(x) = 35.60[/tex] and we solve for x to find the number of miles.

[tex]35.6 = 2.6 + 3x[/tex]

[tex]3x = 33[/tex]

[tex]x = \frac{33}{3}[/tex]

[tex]x = 11[/tex]

There were 11 miles in the taxi ride.

A similar problem is given at https://brainly.com/question/16302622

Answer: B

Step-by-step explanation:

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Answer:

24 1/5

Step-by-step explanation:

I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction

24 1/5

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

(3x+1)(5x-2)

Step-by-step explanation:

Given the expression

15x^2-6x+5x-2

Factorize;

3x(5x-2)+ 1(5x-2)

(3x+1)(5x-2)

Hence the factorized form is (3x+1)(5x-2)

Answer:

R = 4.2cm and D = 8.4cm

Step-by-step explanation:

The radius is 3.2 and the diameter is always twice much so its 8.4

Answer:

[tex] \frac{5}{3 } \times \frac{1}{4} \times \frac{3}{2} = \frac{5}{8} [/tex]

Step-by-step explanation:

Volume=H×B×L

so,5/8 cm^3 is answer

Answer:h(x)=g(x+5)+1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

81.9

Step-by-step explanation:

63 of 130 is 48.46%

Steps to solve "what percent is 63 of 130?"

63 of 130 can be written as:

63

130

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.

Answer:

81.9

Step-by-step explanation:

63/100 x 130 = 81.9

Your welcome! :)

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Answer:

d.

Step-by-step explanation:

Answer:

0<x<2.5

Step-by-step explanation:

-16x^2+38x+5 = 0

-16x^2+40x-2x+5 = 0

ROUGH WORK

[Product=-16×5=-80, Sum=38. (Product=40×-2, Sum=40-2) (40&-2)]

BACK TO EXPLAINATION

-8x(2x-5)-1(2x-5) = 0

x = -1/8, 2.5

0<x<2.5

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Answer:

the figure is missing. please provide the figure.

Answer:

height = 13.86, or 8√3

Step-by-step explanation:

using the Pythagorean theorem:

h² = 16² - 8²

h² = 256 - 64

h² = 192

h = 13.86 ft or 8√3

Answer:

X=1

BD=AC=3(6x-4)=3(6(1)-4)=6

BD=6

Square is a polygon with 4 equal sides. The value of line BD is 6 units.

A square is a polygon with 4 sides, such that all the four sides of the polynomial are equal, also all the angles of the square are of 90°.

As it is given that the diagonals of square ABCD intersect at point E. And, we know that the diagonals of the square bisect each other. therefore, we can write,

BD = 2BE

Substituting the values, we will get,

[tex]3(6x-4) = 2 \times(2x+1)\\\\18x-12 = 4x+2\\\\18x-4x = 2+12\\\\14x = 14\\\\x = \dfrac{14}{14}\\\\x = 1[/tex]

Thus, the value of x is 1.

We know that the diagonal of a square are equal, therefore, the value of the diagonal BD can be written as,

[tex]BD = AC = 3(6x-4)[/tex]

Substitute the value of x as 1, therefore, the value of BD can be written as,

[tex]BD = 3[6(1)-4]\\\\BD = 3(6-4)\\\\BD = 3 \times 2\\\\BD = 6[/tex]

Hence, the value of line BD is 6 units.

Learn more about Square:

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Answer:

.40 cents

Step-by-step explanation:

Just simple divide 2.40/6 and when you get 0.4, add a 0 because it is money.

Answer:

0.40 cents

Step-by-step explanation:

You divide $2.40 by 6 and you get the answer 0.40 or 0.4