ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F. Therefore, which equation must be true?

Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was

Leona [12618]

Yes, it was a reasonable result

Step-by-step clarification:

6 0

2 months ago

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A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be,

lawyer [12517]

Answer: 13

I made an error on the question, and it provided the right answer. Thank me later.

4 0

3 months ago

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width

lawyer [12517]

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\\ given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \\is \; 61cm \; more \; than \; the \; length\\\\Width \; = \; 61+x\\\\Statement \; 2: \; The \; perimeter \; is \; 406cm\\\\Perimeter=2(Length+Width)\\Perimeter =2(x+61+x)\\\\So \; the \; mathematical \; equation \; would \; be \\ 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \\ undoing \; whatever \; is \; done \; x.\\\\2(x+61+x)=406\\Group \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\\\\2(2x+61)=406\\Distribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\\\\4x+122=406\\Subtract \; 122 \; on \; both \; sides\\\\4x+122-122=406-122\\Simplify \; on \; both \; sides\\\\4x=284\\Divide \; on \; both \; sides\\\\\frac{4x}{4}=\frac{284}{4}\\Simplify \; fractions \; on \; both \; sides\\\\x=71$

$Conclusion:\\Length=x=71cm\\Substituting \; 71 \; for \; x \; and \; find \; Width \; value.\\Width=61+x=71+61=132cm\\\\Length \; is \; 71 cm \; and \; Width \; is 132cm$

5 0

1 month ago

A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig

PIT_PIT [12445]

Answer: The result is $M=590-\dfrac{19}{20}V.$

Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.

Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.

This means that 190 grams corresponds to 200 milliliters, thus

$1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.$

The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as

$\textup{M}=590-\dfrac{19}{20}\textup{V}.$

7 0

2 months ago

What is the product of (–0.9)(–2.4)?

Svet_ta [12734]

Response:

−

0.9

by

−

2.4

Detailed explanation:

the result is 2.16

4 0

1 month ago

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