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3 years ago

Find the length of DE using the distance formula.

Mathematics

1 answer:

Rama09 [41]3 years ago

7 0

Answer:

Step-by-step explanation:

use the distance formula. (-4-4)^2 gives 64. (2+4)^2 gives 36. add them to get 100/ square root of 100 is 10.

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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

Question in photo! (Please help with other questions!)

zhannawk [14.2K]

Answer:

c) $a_{n}$ = 3.5n + 7.5

Step-by-step explanation: =>

Given :-

a = 11

d = 3.5

To Find :

$a_{n}$

Solving :-

= a + (n - 1)d

= 11 + 3.5n - 3.5

= 3.5n + 7.5

Solution :-

c) $a_{n}$ = 3.5n + 7.5

7 0

2 years ago

The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?

loris [4]

Answer:

Your answer is C) 1.92

Hope this helps ^_^

4 0

3 years ago

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tatuchka [14]

Answer:

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Step-by-step explanation:

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3 years ago

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The average amount of time it takes Greg to mow x lawns can be defined by the expression 28x + 5. In this scenario, what does th

inna [77]

Answer:

the answer is 140 hope this helped

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3 years ago