All categories

2 years ago

If a circle has a diameter of 30 meters, which expression gives its area in

Mathematics

1 answer:

sattari [20]2 years ago

3 0

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Diameter: d = 2r
Area of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]: 30 m = 2r
Isolate r: 15 m = r
Rewrite: r = 15 m
Substitute [AC]: A = π(15 m)²
Rearrange: A = 15²π

You might be interested in

PLEASE HELP???!!!!!

Likurg_2 [28]

We'll use the Pythagorean Theorem
130^2 = side^2 +50^2
side ^ 2 = 16,900 -2,500
side ^ 2 = 14,400
side = square root (14,400)
side = 120 feet

4 0

2 years ago

Read 2 more answers

A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?

Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ $18\frac{1}{6}$ feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = $5\frac{1}{3}\ feet$

Width of the box = $3\frac{3}{4}\ feet$

Perimeter of a rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = $2(5\frac{1}{3}+3\frac{3}{4})\ feet$

Simplifying by adding fractions:

⇒ $2(5+3+\frac{1}{3}+\frac{3}{4})\ feet$ (Adding whole numbers and fractions separately)

⇒ $2(8+\frac{1}{3}+\frac{3}{4})$ feet

Whole number 8 can be written as $\frac{8}{1}$

⇒ $2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4})$ feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒ $2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3})$ feet

⇒ $2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12})$ feet

Then we simply add numerators.

⇒ $2(\frac{96+4+9}{12})$ feet

⇒ $2(\frac{109}{12})$ feet

⇒ $2\times \frac{109}{12}$ feet

⇒ $\frac{218}{12}$ feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ $18\frac{2}{12}$ feet

Simplifying fractions to simplest form.

⇒ $18\frac{1}{6}$ feet

Perimeter =⇒ $18\frac{1}{6}$ feet (Answer)

5 0

2 years ago

Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows

svetlana [45]

Answer: 312.3 square feet

Step-by-step explanation:

7 0

2 years ago

Irma works for a service that delivers groceries and pet supplies. She earns a base monthly salary of $1,900. In addition, she g

ruslelena [56]

Irma’s annual income has the delivery fees already taken out. earnings based on salary and commission is higher becuase fees have not been taken out

3 0

2 years ago

What is the simplest form of the expression? 3sqrt(24a^10b^6)?

Anastasy [175]

Answer:

$\text{The simplest form is }6\sqrt6a^5b^3$

Step-by-step explanation:

Given the expression $3sqrt(24a^{10}b^6)$ .

we have to find the simplest form of the expression.

$3sqrt(24a^{10}b^6)$

= $3(24^{\frac{1}{2}}a^{\frac{10}{2}}b^{\frac{6}{2}})$

= $3(24^{\frac{1}{2}}a^5b^3)$

= $6\sqrt6a^5b^3$

which is the simplest form of the given expression.

8 0

3 years ago

Read 2 more answers