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3 years ago

Can someone help me with this geometry question asap, thanks!

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

Step-by-step explanation:

just trust me look at the angles visually

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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

if 4 times a number is increased by 6, the result is less than 15 than the square of the number. find the number

iren [92.7K]

Answer:

n = 7

n = -3

Step-by-step explanation:

4n+6 = n²-15

4n = n² - 21

n² - 4n - 21 = 0

(n-7)(n+3) = 0

n = 7

n = -3

7 0

2 years ago

Simplify 8(xy + 8) + 1. 8xy + 9 8xy + 65 8xy + 73

Advocard [28]

Answer:

8xy + 65

Step-by-step explanation:

8(xy + 8) + 1.

8 x 8=

64 + 1=

65 (8xy + 65)

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

LINE THE NUMBERS UP AND IT WILL MAKE SENSE

5 0

3 years ago

If you guys can answer this then please help

s344n2d4d5 [400]

Answer:

64°

Step-by-step explanation:

First, we have to find the angle situated in R, the addition of all angles in a triangle is 180° so that means:

x + 68 + 48 = 180

x = 180-116 = 64°

Now, remember that this angle (64°) is the same as this one = ?, thanks to one property.

So basically, that angle has the same value as that one.

? = 64°

Hope it was helpful ;)

8 0

2 years ago

nick loaned 550 to his best friend. the friend agreed to pay it back the amount borrowed plus 12% interest. what was the total a

lina2011 [118]

$616 because 550 times .12(12% as decminal) is 66. $66 plus $550 is $616

3 0

3 years ago