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natka813 [3]
3 years ago
5

Find X: round to 2 decimal places.

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

x = 2.74cm

Step-by-step explanation:

Soh Cah Toa

As we know from the last post that we'll be using cosine.

This will be the rearranged formula :

(Side) Cos ( Angle) = Side

8 × Cos (70) = 2.73616....cm

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Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?
guajiro [1.7K]

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

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the smaller number is 127

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