What is the product of 5x10 to the power of 2

Mathematics

2 answers:

Sedaia [141]3 years ago

7 0

Answer:

2500

Step-by-step explanation:

5x10 is 50 so it would be 50 to the second power. And fifty times fifty is 2500

ratelena [41]3 years ago

5 0

50^2 = 50 to the power of 2 = 2.5 × 10^3

Explanation:

(50) to the 2nd power or simply '50 to the 2nd' is obtained by multiplying 2 times the base 50 by itself. So,

50^2 = 50 × 50 = 2.5 × 10^3

Note: We say that 50 is the base, 2 is the exponent, and the whole thing or the result is a power of 50.

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If two triangles have equal perimeters, then they could also have which of the following? Select all that apply.

Radda [10]

Answer: The answers is (B) equal areas.

Step-by-step explanation: Given that two triangles have equal perimeters.

As shown in the attached figure, let us consider two right-angles triangles, ΔABC and ΔDEF, with sides AB = 3 cm, BC = 4 cm, AC = 5 cm, DE = 4 cm, EF = 3 cm and DF = 5 cm.

So the perimeters of both the triangles = 3 + 4 + 5 = 4 + 3 + 5 = 12 cm.

Since volume term is not valid in case of triangles, so they cannot have equal volumes. Therefore, option (A) is incorrect.

Area of ΔABC is

$A_{ABC}=\dfrac{1}{2}\times AB \times BC = \dfrac{1}{2}\times 3\times 4=6~\textup{cm}^2,$

and area of ΔDEF is

$A_{DEF}=\dfrac{1}{2}\times DE\times EF=\dfrac{1}{2}\times 4\times 3=6~\textup{cm}^2.$

Therefore, they may have equal areas and so option (B) is correct.

If the triangles have equal bases, then the heights will also be equal and both the triangles will be same. Similar is the case with equal heights. So, options (C) and (D) are incorrect.

Thus, the correct option is (B). equal areas.