Answer:
0.07142857142
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
Answer:
3, 7, 11, 15, 19, 23, 27,.......
Step-by-step explanation:
Let the first term and the common difference of the AP be a and d respectively.
Therefore,
a + (7- 1) d = 27
a + 6d = 27
a = 27 - 6d...... (1)
Therefore,
a + (12 - 1) d = 47
a + 11d = 47......(2)
From equations (1) & (2)
27 - 6d + 11d = 47
24 + 5d = 47
5d = 47 - 27
5d = 20
d = 20/5
d = 4
Plug d = 4 in equation (1) we find:
a = 27 - 6*4
a = 27 - 24
a = 3
Therefore,
Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......
Answer:
1836
Step-by-step explanation:
The length of one leg of the right triangle is 5√10
<h3>How to find the leg of a right triangle?</h3>
The leg of a right triangle can be found as follows;
Therefore, using trigonometric ratios,
sin 45 = opposite / hypotenuse
sin 45 = x / 10√5
1 / √2 = x / 10√5
cross multiply
10√5 = x√2
divide both sides by √2
x = 10√5 / √2
x = 10√5 / √2 × √2 / √2
x = 10√10 / 2 = 5√10
learn more on right triangle here: brainly.com/question/3398476
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