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)
Answer:
Assume the number is X. What is given can be written as the following:
X < (1/4)*(8X+4)
Multiply 4 on both sides
4X< 8X+4
Subtract 4X+4 from both sides
-4 < 4X
-1<X i.e., X>-1 the number is greater than -1.
<em>Correct Presentation of Question</em>
<em>Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)</em>
Answer:
Domain = {-3,-3,-1,1}
Step-by-step explanation:
Given
(-3,-2) (3,0)(-1,2)(1,2)
Required
Determine which numbers are domain
A function is always represented as thus (x,y) in this format (domain, range);
Tabulate the given data
x || y
-3 || -2
3 || 0
-1 || 2
1 || 2
The values under the x column are the domain;
Hence, the domain are {-3,-3,-1,1}
Answer:
The tree's shadow is 20 ft long.
Step-by-step explanation:
If you take 6 and 15 and turn it into a fraction 6/15 and take 8 and the missing value (x) and turn that into a fraction 8/x, then you can move to the multiplication.
6/15 *8/x = 6x=120/6
120/6=20
Hope this helps :)