AB is the longest side, so ∠C is the largest angle.
use law of cosine: 16²=9²+12²-2*9*12cosC
216cosC=81+144-256=-31
cosC=-0.14352
C≈98
Answer:
(a) $180
(b) 25%
Step-by-step explanation:
(a) $126 = 30% of x; x is the total
so from this, you get an equation: 126 = 0.3x
solve the equation: x = 180; so the amount before
discount is $180
(b) You know the price of discount for the rice cooker is
180-126 which is $54
Then you subtract 54 from 64 to get the discount amount for the toaster
10/40 is 1/4 or 25%
Answer:
Step-by-step explanation:
Using the formula for calculating the distance between 2 points.
D = √(x2-x1)²+(y2-y1)²
Given
D = 45 units
The coordinates Q(–1, a) and P(3,2)
45 = √(3-(-1))²+(-2-a)²
45 = √4²+(-2-a)²
45 = √16+(-2-a)²
45² = 16+(-2-a)²
45² = 16+4+4a+a²
45² = 20+4a+a²
a²-4a+20-2025 = 0
a²+4a-2005 = 0
a = -4±√16+4(2005)/2
a = -4±√16+8020/2
a = -4±√8036/2
a = -4±90/2
a = -4+90/2
a = 86/2
a = 43
The possible values of a is 43
The answer would be true, because the 2 on the bottom of the fraction would cancel out the 2 in the equation.
Answer:
Step-by-step explanation:
5+7x12+75-94x347+7 2/9
