The value of side z will be equal to 99.32 cm.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°
So by applying the formula given below:-
z² = x² + y² - 2xyCos(142)
z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )
z = 99.32 cm
Hence the value of side z will be equal to 99.32 cm.
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Answer:
see below
Step-by-step explanation:
1) see attached image
2) <u> bearings from A to B</u>
Note: bearing is always clockwise from A and from North.
(i)
bearing 180° + 67°
247° from N
(ii)
bearing 148 + 180
328° from N
(iii)
bearing 180 - 21
159° from N
(iv)
39° from N
(v)
bearing 90 - 40
50° from N
3) <u>back bearing from each diagram on no. 2</u>
<u />
Note: subtract 200 if bearing is more than 180
add 180 if the bearing is less than 180
(i) 247 - 200 = 47°
(ii) 328 - 200 = 128°
(iii) 159 + 180 = 339°
(iv) 39 + 180 = 219°
(v) 50 + 180 = 230°
Answer:
32 ounces of fruits
Step-by-step explanation:
Given that :
Number of distinct fruits purcahed = 6
Number of ounces of each fruit = 5 1/3
The total ounces of fruits purchased :
(Number of distinct fruits purchased * Number of ounces of each fruit)
6 * 5 1/3 = 6 * 16/3
6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.
0.30/1.50= 0.2= 20%
20%<span> of 1.50 = 0.30</span>
