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Fofino [41]
3 years ago
7

We have string with a length of 54cm. How many centimeters should we cut off the string so that there would be 3 decimeters left

?
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

24 centimeters

Step-by-step explanation:

3 decimeters = 30 centimeters

54 cm-30cm= 24 cm

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Step-by-step explanation:

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Ans given below

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3 years ago
Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length
Bezzdna [24]

Answer:

Area of ΔDEF is 45\ cm^2.

Step-by-step explanation:

Given;

ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = 2\ cm and

Length of DE = 6\ cm

Area of ΔABC = 5\ cm^2

Solution,

Since, ΔABC and  ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}

Where triangle 1 and triangle 2 is  ΔABC and  ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2

Thus the area of  ΔDEF is 45\ cm^2.

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2 years ago
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Answer:

y = 7x - 4

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