Find the value of X round to the nearest 10th law of cosines.
1 answer:
Image of triangle is missing, so i have attached it.
Answer:
x = 18
Step-by-step explanation:
From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.
Also, we see the angle opposite the dimension of x is 30°
Thus,we can use law of cosine to fjnd the value of x. Thus:
x² = 16² + 30² - 2(16 × 30)cos 30
x² = 256 + 900 - (960 × 0.866)
x² = 324.64
x = √324.64
x = 18.02
Approximating to the nearest tenth gives; x = 18
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Answer:
1) =0.3571428571 2) Terminating
Step-by-step explanation:
1st. To answer this question let's divide with long division algorithm 5 and -14.
<u> 0.3571428571</u>
-14)50
42
---
80
-70
--
100
98
---
20
14
----
60
-56
---
40
28
--
120
-112
----
80
70
--
100
-98
--
2
5 (dividend) : -14 (divisor)
Long division (check below)
With the same two numbers -14 and 5 we can write in a Long Division
5) -14
<u> - 2.8</u>
5) -14
10
40
So
2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.
form.
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