Answer:
AB = 10.2m
Step-by-step explanation:
Area of triangle ADC = 52m²
AD = 12m, angle D = 102°
Area of triangle ADC = ½ × a × b × sinC
52m² = ½ × 12 × CD × sin102
52 = 6 × CD × 0.9781
CD = 52/(6× 0.9781)
CD = 52/(5.8686)
CD = 8.86m = 8.9m (1 decimal place)
Using Cosine rule to find AC = d
d² = a² + c² -2×a×d ×cosD
d² = 8.9² + 12² - 2×8.9×12× Cos102
Cos102 = -0.2079
d² = 267.61744
d = √(267.61744)
AC = d = 16.4m
For ∆ABC
Using sine rule:
a/sinA = b/sinB
AB/sin46 = AC/sin120
AB/0.7193 = 16.4/0.866
AB = 14.2024 ×0.7193
AB = 10.2m (1 decimal place)
This statement describes a range of Micah's salary.
The range is a number that describes the distance from the beginning of something to the end of something.
In this scenario the beginning would be the beginning salary, in the end salary would be where you stop at end at after adding $876.
$1793(starting) + $876 = $2669
The maximum amount of money that Micah could earn would be $2669.
The formula to calculate the missing arc is,
where,
Therefore,
Hence, the answer is
-4 and 3
-4 + would = -1
-4×3 would be 12
B 664 should be it! Hope it helps