Maths-
General
Easy
Question
Evaluate 8.6 × 10-4 - 4.2 × 10-7
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: Simplifying the given expression, we get- 0.000859958 or 8.59958 × 10-4.
Step-by-step solution:-
8.6 × 10-4 - 4.2 × 10-7
= 0.00086 - 0.000000042
= 0.000859958
= 8.59958 × 10-4
Final Answer:-
∴ Simplifying the given expression, we get- 0.000859958 or 8.59958 × 10-4.
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What additional information is necessary to prove that the triangles ABC and XYZ are congruent by HL-Congruence theorem?
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)
What additional information is necessary to prove that the triangles ABC and XYZ are congruent by HL-Congruence theorem?
![](data:image/png;base64,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)
Maths-General
Maths-
Find the value of ( 50 - 40) x 8-1
Find the value of ( 50 - 40) x 8-1
Maths-General
Maths-
Are the given triangles congruent? Explain why or why not.
![](data:image/png;base64,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)
Are the given triangles congruent? Explain why or why not.
![](data:image/png;base64,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)
Maths-General
Maths-
Are the given triangles congruent? Explain why or why not
![](data:image/png;base64,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)
Are the given triangles congruent? Explain why or why not
![](data:image/png;base64,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)
Maths-General
Maths-
Find the value of
(67.542)2 - (32.458)2 / 75.458 - 40.374
Find the value of
(67.542)2 - (32.458)2 / 75.458 - 40.374
Maths-General
Maths-
Why is SSA not a valid method for proving that triangles are congruent?
Why is SSA not a valid method for proving that triangles are congruent?
Maths-General
Maths-
Prove that △ ACB ≅△ CAD by SAS postulate.
![](data:image/png;base64,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)
Prove that △ ACB ≅△ CAD by SAS postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%?
What is the percentage change in the area of a rectangle obtained by decreasing its length and increasing its breadth by 5%?
Maths-General
Maths-
Evaluate 50.25 × 1250.25 / 2560.10 × 2560.15
Evaluate 50.25 × 1250.25 / 2560.10 × 2560.15
Maths-General
Maths-
Prove that triangles AEB and CED are congruent by SAS postulate.
![](data:image/png;base64,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)
Prove that triangles AEB and CED are congruent by SAS postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by SAS postulate?
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)
What additional information is necessary to prove that the given triangles are congruent by SAS postulate?
![](data:image/png;base64,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)
Maths-General
Maths-
Prove that the given two triangles are congruent
![](data:image/png;base64,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)
Prove that the given two triangles are congruent
![](data:image/png;base64,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)
Maths-General
Maths-
Are given two triangles congruent? Prove and state the name of the postulate
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)
Are given two triangles congruent? Prove and state the name of the postulate
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)
Maths-General
Maths-
A man bought a rectangular field of length 144 m and width 64 m. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
A man bought a rectangular field of length 144 m and width 64 m. In exchange for this field he wanted to buy a square field of the same area. What would the side of the square field be?
Maths-General