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2 years ago

If ΔCDE ~ ΔFGE, find the value of x.

Mathematics

1 answer:

lidiya [134]2 years ago

7 0

9514 1404 393

Answer:

x = 43.2

Step-by-step explanation:

Corresponding sides are proportional.

FE/CE = GE/DE

x/27 = 40/25

x = 27(40/25) . . . . multiply by 27

x = 43.2

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Evaluate 6^-2 a) -1/36 b)4 c) 1/36 d)-12

inessss [21]

${6}^{ - 2} \\ \frac{1}{ {6}^{2} } \\ \frac{1}{36}$

The answer is C

4 0

2 years ago

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Simpfy 4 1/2+ 1 3/5 help

Dennis_Churaev [7]

Answer:

4 1/2 + 1 3/5 = 6 1/10 or 61/10

6 0

3 years ago

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

geniusboy [140]

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

3 0

2 years ago

Jack is 1.75 m tall and casts a shadow 2.25 m long. At the same time, a statue casts a shadow 9 m long. What is the height of th

Arisa [49]

7m
1.75 divided by 2.25 = 0.77777777...
0.77777777.. times by 9 = 7

5 0

2 years ago

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?

Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Reciprocals

Algebra II

Log/Ln Property: $ln(\frac{a}{b} ) = ln(a) - ln(b)$

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative of Ln: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

$ln(\frac{2x-1}{x-1} )=t$

Step 2: Differentiate

Rewrite: $t = ln(\frac{2x-1}{x-1})$
Rewrite [Ln Properties]: $t = ln(2x-1) - ln(x - 1)$
Differentiate [Ln/Chain Rule/Basic Power Rule]: $\frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1$
Simplify: $\frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}$
Rewrite: $\frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}$
Combine: $\frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}$
Reciprocate: $\frac{dx}{dt} = -(2x-1)(x-1)$
Distribute: $\frac{dx}{dt} = (1-2x)(x-1)$

8 0

2 years ago

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