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3 years ago

Radius of the circle is 12 miles. What is the circumference?

Mathematics

1 answer:

Drupady [299]3 years ago

3 0

Answer:

The circumference of the circle is 75.36 miles

Step-by-step explanation:

Given

Radius, r = 12 miles.

Circumference is calculated using the following formula.

C = 2πr

take π as 3.14

substitute 12 for r in the formula above.

C = 2 * 3.14 * 12

C = 75.36 miles.

The circumference of the circle is 75.36 miles

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Edward's school is 132 miles away from his home . He goes by car to school and back. The car consumed 4 gallons of gas taking hi

mixer [17]

Total distance is 132 miles x 2 times/day x 5 days = 1320 miles
That used 4 gallons of fuel, so 1320 miles/4 gallons = 330 miles per gallon

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3 years ago

Jack is purchasing a stock that pays an annual dividend of $3.42 per share. If he purchases 400 shares for $53.18 per share, wha

sergij07 [2.7K]

Answer:

1368 dollars.

Step-by-step explanation:

given that Jack s purchasing a stock that pays an annual dividend of $3.42 per share

No of shares Jack purchased = 400

Price per share = 53.18$

Amount invested by Jack in shares = $400*53.18 =21272$ dollars

Annual dividend = 3.42 per share

Total dividend = $400*3.42 = 1368$

Annual income from dividends = 1368 $

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3 years ago

The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the

valentinak56 [21]

Answer:

Step-by-step explanation:

27 degrees

6 0

3 years ago

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0

3 years ago

What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced

il63 [147K]

Answer:

The equation of the line is y = $\frac{4}{3}$ x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ $m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}$

→ Simplify it by dividing up and down by 2

∴ m = $\frac{4}{3}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{4}{3}$ x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = $\frac{4}{3}$ (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = $\frac{4}{3}$ x + 2

∴ The equation of the line is y = $\frac{4}{3}$ x + 2

6 0

3 years ago